- variableThe name of the variable that this object operates on
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this object operates on
ElementIntegralPower
Computes the power given the fission rate and energy per fission.
Description
ElementIntegralPower computes the power in the supplied block given the fission rate variable and energy per fission.
Example Input Syntax
[Postprocessors<<<{"href": "../../syntax/Postprocessors/index.html"}>>>]
[rod_total_power]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = T
fission_rate<<<{"description": "Coupled fission rate"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 1
energy_per_fission<<<{"description": "Energy released per fission (J/fission)"}>>> = 3.2e-11
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[](test/tests/element_integral_power/element_integral_power_test.i)Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- burnup_functionBurnup function
C++ Type:BurnupFunctionName
Unit:(no unit assumed)
Controllable:No
Description:Burnup function
- energy_per_fission3.28451e-11Energy released per fission (J/fission)
Default:3.28451e-11
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Energy released per fission (J/fission)
- fission_rateCoupled fission rate
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled fission rate
- fission_rate_materialfission_rate_materialFission rate material property name
Default:fission_rate_material
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Fission rate material property name
- use_absolute_valueFalseWhether to use absolute value of the variable or not
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use absolute value of the variable or not
- use_material_fission_rateFalseFlag to use the material 'fission_rate_material' instead of variable fission rate
Default:False
C++ Type:bool
Controllable:No
Description:Flag to use the material 'fission_rate_material' instead of variable fission rate
Optional Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:XFEM_MARK, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
Execution Scheduling Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (test/tests/fission_rate/exact.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_new_bubble_gb_lim.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK5/FK05.i)
- (assessment/metallic_fuel/FFTF/IFR1/analysis/IFR1_base.i)
- (examples/TRISO/failure_probability_direct_integration/ipyc_cracking.i)
- (test/tests/triso_failure/triso_ipyc_characteristic_strength.i)
- (examples/3D_rodlet_3pellets/smeared/smearedTest3D.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL009/BFL009.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK9/FK09.i)
- (examples/TRISO/pebble/triso_1d.i)
- (assessment/LWR/validation/Super_Ramp/analysis/Super_Ramp_Base.i)
- (test/tests/triso/buffer_thermal_material/buffer_thermal_specific_heat.i)
- (assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/quad/test_2d.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_B/x441_leg_B.i)
- (assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_Rodlets_2D_Options.i)
- (assessment/MOX/JOYO/MK-II/analysis/MK-II_master_new_bubble_gb_lim.i)
- (test/tests/upuzr_fission_rate/test_meta_ad.i)
- (examples/TRISO/correlation_function/h_asphericity/triso_1d.i)
- (examples/TRISO/correlation_function/h_ipyc_sic_debonding/triso_debonding.i)
- (test/tests/triso_failure/triso_1d_ipyc_failure.i)
- (test/tests/fission_rate_heat_source/power_fcn_test.i)
- (assessment/LWR/validation/HbepR1/analysis/A184/HbepR1_A184.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE067/UFE067.i)
- (test/tests/carbon_monoxide_production/carbon_monoxide_production_test.i)
- (test/tests/triso_failure/triso_1d_pd_penetration.i)
- (assessment/LWR/validation/Riso_Base.i)
- (assessment/TRISO/validation/AGR-1/AGR-1_action.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_A/x441_grp_A.i)
- (test/tests/fuelrodlinevaluesampler/example_problem_smeared_test.i)
- (workshop/bison_example/Smeared.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_C/x441_grp_C.i)
- (test/tests/triso/buffer_thermal_material/buffer_thermal_conductivity.i)
- (assessment/LWR/validation/HbepR1/analysis/A364/HbepR1_A364.i)
- (examples/metal_fuel/x441_coarse/x441_group_A_nominal.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/TSQ002.i)
- (examples/TRISO/full_particle/2D/full_particle.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/x441_base.i)
- (examples/TRISO/pebble/3D_pebble.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_H/x441_grp_H.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_1/vitanza.i)
- (assessment/LWR/validation/Tribulation/analysis/BN3X15/BN3X15.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK4/FK04.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim_DiffCoeff4_GrainGrowth.i)
- (assessment/LWR/validation/HBEP/analysis/BK363/HBEP_BK363_action.i)
- (assessment/LWR/validation/Tribulation/analysis/BN1X4/BN1X4.i)
- (examples/TRISO/parfume/parfume_un.i)
- (examples/NuclearMaterialActions/LWR/Normal/2D_discrete_finiteStrain_nuc_mat_action_integrated/2D_discrete_finiteStrain_nuc_mat_action_integrated.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_old_bubble_gb_lim.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2.i)
- (assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_10/case_10_1D.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_2DRZ_t.i)
- (assessment/LWR/validation/IFA_636/analysis/IFA_636_solid_swell/IFA_636_solid_swell.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK7/FK07.i)
- (assessment/LWR/validation/HBEP/analysis/BK370/HBEP_BK370.i)
- (assessment/metallic_fuel/EBRII/X447/analysis/legacy/x447_base.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM073/BFM073.i)
- (assessment/LWR/validation/FUMEXII_Regate/analysis/Regate_smeared.i)
- (tools/inputwizard/tests/HBEP_BK363_action.i)
- (test/tests/triso_failure/triso_1d_failure_error.i)
- (test/tests/example_problem_test/example_problem_test.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK2/FK02.i)
- (assessment/LWR/validation/Riso_GE7_ZX115/analysis/Riso_GE7_smeared.i)
- (assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_13/case_13_1D.i)
- (assessment/metallic_fuel/EBRII/X447/analysis/enhancement/x447_enh_base.i)
- (assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/linear/test_3d.i)
- (test/tests/triso_failure/triso_failure_diffusivity.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master.i)
- (examples/accident_tolerant_fuel/u3si2_zircaloy/u3si2_zircaloy.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_H/x441_leg_H.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_mechanics.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/x441_base_action.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM034/BFM034.i)
- (test/tests/ifba_he_production/ifba_examp_template.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2c/27_2c.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM156/BFM156.i)
- (test/tests/triso_failure/ad_ipyc_characteristic_strength.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK8/FK08.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_G/x441_grp_G.i)
- (test/tests/fission_rate_LWR/fission_to_thermal_power_deprecated.i)
- (test/tests/fission_rate/exact_radial.i)
- (examples/TRISO/full_particle/1D/full_particle_1D.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2a/27_2a.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2b/27_2b.i)
- (test/tests/burnup_action/burnup_without_actions.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW_action.i)
- (examples/pore_migration/mox_porosity_demo_2D_concentric.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_A/x441_leg_A.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2_1p5d_fr_frd.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_cracking/SmearedCracking.i)
- (examples/TRISO/failure_probability_monte_carlo/triso_1d_function.i)
- (assessment/TRISO/validation/AGR-34/Compacts/AGR-34_base.i)
- (examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain_mortar/2D_discrete_finiteStrain_mortar.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1.i)
- (workshop/bison_example/Discrete.i)
- (examples/3D_rodlet_3pellets/discrete_half_symm/3d_3pellets.i)
- (assessment/TRISO/validation/AGR-1/AGR-1_base.i)
- (assessment/LWR/validation/FUMEXII_Regate/analysis/discrete/Regate_discrete.i)
- (test/tests/triso/kernel_migration/kernel_migration_distance.i)
- (test/tests/triso/mesh/ipyc_crack.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_2DRZ_t.i)
- (examples/accident_tolerant_fuel/uo2_coated_zircaloy/uo2_coated_zircaloy.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1_1p5d_fr_ffrd.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_F/x441_leg_F.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ022/TSQ022.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1_1p5d_fr_frd.i)
- (test/tests/upuzr_fission_rate/exact.i)
- (assessment/metallic_fuel/WPF/analysis/FM-1/FM_base.i)
- (test/tests/upuzr_fission_rate/exact_constant.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/x441_base_legacy_swell.i)
- (assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_2DRZ_t.i)
- (assessment/LWR/validation/Riso_GE7_ZX115/analysis/Riso_GE7_discrete.i)
- (test/tests/triso_failure/triso_1d_failure.i)
- (test/tests/element_integral_power/element_integral_power_rz_test.i)
- (assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_rodlet-4/RE_Ginna_rodlet_4.i)
- (assessment/LWR/validation/OSIRIS_H09/analysis/OSIRIS_H09.i)
- (examples/TRISO/accident_simulation/triso1D_accident.i)
- (test/tests/triso/base_irradiation/triso1D_accident_action.i)
- (examples/2D_plane_strain_fretting_wear/fretting-wear-initial-dyn-exc.i)
- (assessment/metallic_fuel/EBRII/X423/analysis/x423_lm_base.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2.i)
- (examples/TRISO/failure_probability_direct_integration/triso_1d.i)
- (assessment/LWR/validation/IFA_562/analysis/IFA_562_Base.i)
- (test/tests/fission_rate_LWR/fission_to_thermal_power.i)
- (test/tests/element_integral_power/element_integral_power_test.i)
- (assessment/metallic_fuel/FBTA/analysis/steady_state/AK181/181193/IFR1_181193.i)
- (examples/3D_rodlet_3pellets/discrete_full/3d_3pellets_mortar.i)
- (assessment/TRISO/validation/AGR-34/SharedFiles/capsule_dtf.i)
- (examples/spent_fuel/full_life_cycle_coarse/discrete.i)
- (assessment/MOX/JOYO/MK-II/analysis/MK-II_master_old_bubble_gb_lim.i)
- (assessment/metallic_fuel/EBRII/X430/analysis/template.i)
- (assessment/LWR/validation/HbepR1/analysis/H8364/HbepR1_H8364.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM043/BFM043.i)
- (assessment/LWR/validation/IFA_597_3/analysis/rod_7/IFA_597_rod7_frictionless.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK2/FK02_action.i)
- (test/tests/triso_pebble/triso_1d.i)
- (workshop/bison_example/Discrete_mortar.i)
- (examples/TRISO/accident_simulation/triso2D_accident.i)
- (test/tests/triso/base_irradiation/triso1D_accident.i)
- (test/tests/ifba_he_production/doc/fill_gas_xenon.i)
- (examples/TRISO/correlation_function/h_ipyc_cracking/triso_cracking.i)
- (test/tests/standard_metallic_outputs_action/x441_mini_fuel_rod.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim_DiffCoeff4.i)
- (test/tests/fission_rate_heat_source/ad_test.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK1/FK01_action.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL031/BFL031.i)
- (test/tests/triso_failure/triso_1d_layer_stress_strength.i)
- (assessment/TRISO/validation/AGR-2/AGR-2_base.i)
- (assessment/metallic_fuel/EBRII/X423/analysis/x423_vp_base.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK6/FK06.i)
- (assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/linear/test_2d.i)
- (examples/non-cylindrical_fuel/2D/non-cyl_base_irrad.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFG092/BFG092.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_2DRZ_t.i)
- (examples/thor_capsule_transfer/pin_with_heat_sink.i)
- (examples/TRISO/pebble/3D_pebble_with_failed_particles.i)
- (assessment/LWR/validation/HBEP/analysis/BK365/HBEP_BK365.i)
- (assessment/LWR/validation/IFA_515_RodA1/analysis/IFA515.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1.i)
- (examples/TRISO/parfume/parfume.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_cracking/ADSmearedCracking.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_E/x441_grp_E.i)
- (examples/3D_rodlet_3pellets/discrete_quarter_symm/3d_3pellets_mortar.i)
- (test/tests/triso_failure/ad_triso_1d_weibull_probability.i)
- (examples/NuclearMaterialActions/MetallicFuel/x441_group_A_nominal_action.i)
- (test/tests/element_integral_power/element_integral_power_rz_mat_test.i)
- (examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain_mortar_friction/2D_discrete_finiteStrain_mortar_friction.i)
- (examples/NuclearMaterialActions/LWR/Normal/2D_discrete_finiteStrain_action/2D_discrete_finiteStrain_action_no_burnup.i)
- (examples/pore_migration/mox_porosity_demo_2D_offset.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2d/27_2d.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_G/x441_leg_G.i)
- (examples/3D_rodlet_3pellets/discrete_quarter_symm/3d_3pellets.i)
- (assessment/LWR/validation/IFA_519/analysis/IFA_519_Base.i)
- (assessment/metallic_fuel/WPF/analysis/X425_T418/X425_base.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_E/x441_leg_E.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_B/x441_grp_B.i)
- (assessment/TRISO/validation/AGR-34/SharedFiles/capsule_driver.i)
- (test/tests/fission_rate_heat_source/ad_power_fcn_test.i)
- (test/tests/ifba_he_production/doc/fill_gas_helium.i)
- (examples/restart/Quad8.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_C/x441_leg_C.i)
- (test/tests/triso_failure/ad_triso_1d_failure.i)
- (test/tests/triso_failure/triso_1d_weibull_probability.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_new_bubble_gb_lim.i)
- (examples/TRISO/correlation_function/h_asphericity/triso_asphericity_mortar.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM071/BFM071.i)
- (examples/accident_tolerant_fuel/uo2_fecral/uo2_fecral.i)
- (examples/Burnup_profile_displaced_mesh/RadialProfileSampler.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK3/FK03.i)
- (assessment/LWR/benchmark/AREVA_idealized_case/analysis/AREVA_idealized_case.i)
- (examples/TRISO/accident_simulation/triso2D_accident_ad.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK1/FK01.i)
- (test/tests/ifba_he_production/fill_gas_xenon_w_ifba.i)
- (examples/2D-RZ_rodlet_10pellets/quad8/Quad8.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_p-15_percent.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master_sampleH.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE019/UFE019.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM070/BFM070.i)
- (examples/TRISO/failure_probability_direct_integration/asphericity.i)
- (examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain/2D_discrete_finiteStrain.i)
- (tools/inputwizard/tests/2D_discrete_finiteStrain_nuc_mat_action_integrated.i)
- (assessment/metallic_fuel/FBTA/analysis/steady_state/common_inputs/test_base.i)
- (examples/NuclearMaterialActions/LWR/Normal/2D_discrete_finiteStrain_action/2D_discrete_finiteStrain_action.i)
- (assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_9/case_9_1D.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2_1p5d_fr_ffrd.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_p-15_percent.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-2kW.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim.i)
- (test/tests/triso_failure/triso_1d_kernel_migration.i)
- (assessment/TRISO/validation/AGR-34/Compacts/AGR-34_dtf_base.i)
- (examples/TRISO/failure_probability_monte_carlo/triso_1d_constant.i)
- (examples/TRISO/pebble/triso_1d_failed.i)
- (assessment/LWR/validation/Super_Ramp/analysis/PK62/PK62_weighted_gap_VCP.i)
- (test/tests/ifba_he_production/ifba_only_template.i)
- (examples/non-cylindrical_fuel/3D/non-cyl_incl_creep.i)
- (test/tests/fuelrodlinevaluesampler/example_problem_smeared_test2.i)
- (examples/2D_plane_strain_fretting_wear/fretting-wear-initial.i)
- (assessment/LWR/validation/IFA_431/analysis/IFA_431_Base.i)
- (test/tests/burnup_action/burnup_with_actions.i)
- (assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/quad/test_3d.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-1kW.i)
- (assessment/LWR/validation/IFA_597_3/analysis/rod_8/IFA_597_rod8_frictionless.i)
- (assessment/LWR/validation/RIA_NSRR_FK/analysis/FK3/FK03_ccm.i)
- (assessment/LWR/validation/IFA_432/analysis/IFA_432_Base.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_fuel_rod.i)
- (assessment/LWR/validation/IFA_534/analysis/IFA_534_Base.i)
- (test/tests/fission_rate_heat_source/test.i)
- (assessment/LWR/validation/Tribulation/analysis/BN1X3/BN1X3.i)
- (examples/TRISO/accident_simulation/triso2D_accident_mortar.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_mechanics.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_old_bubble_gb_lim.i)
- (test/tests/decay_heating/decay_heating_rz.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFJ027/BFJ027.i)
- (examples/2D-RZ_rodlet_10pellets/fuel_pin_geometry/fuelpingeo.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_D/x441_leg_D.i)
- (test/tests/standard_metallic_outputs_action/x441_mini_fuel_rod_no_std_blk.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-2kW.i)
- (test/tests/triso_failure/higher_order_correlation.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim_grainGrowth.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_old_bubble_gb_lim.i)
- (workshop/bison_example/Smeared_mortar.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master_sampleL.i)
- (assessment/LWR/validation/OSIRIS_J12/analysis/OSIRIS_J12.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW.i)
- (assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master_sampleJ.i)
- (test/tests/triso_failure/sub.i)
- (test/tests/upuzr_fission_rate/test_meta.i)
- (assessment/LWR/validation/HBEP/analysis/BK363/HBEP_BK363.i)
- (assessment/LWR/validation/IFA_636/analysis/IFA_636/IFA_636.i)
- (assessment/LWR/validation/IFA_597_3/analysis/rod_7/IFA_597_rod7_glued.i)
- (test/tests/triso_failure/triso_1d_asphericity_failure.i)
- (examples/2D_plane_strain_rod/planestrain.i)
- (test/tests/triso_failure/triso_1d_ipyc_weibull_probability.i)
- (assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_11/case_11_1D.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BEN013/BEN013.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_smallStrain/Smeared_smallStrain.i)
- (test/tests/fission_rate/meta.i)
- (test/tests/triso_failure/ad_triso_1d_ipyc_weibull_probability.i)
- (examples/TRISO/correlation_function/h_asphericity/triso_asphericity.i)
- (examples/NuclearMaterialActions/TRISO/full_particle_action.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_D/x441_grp_D.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_F/x441_grp_F.i)
- (test/tests/fission_rate/ad_meta.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/cracking/TSQ002_cracking.i)
- (examples/metal_fuel/uzr_densification/ebr2_2d_interpores_densification.i)
Child Objects
(test/tests/element_integral_power/element_integral_power_test.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a cube of length 1 cm.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * 1.0e-6
# = 100
[Mesh]
[mesh]
type = FileMeshGenerator
file = cube_10mm.e
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[T]
order = FIRST
family = LAGRANGE
initial_condition = 500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[ie]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = NeutronHeatSource
variable = T
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 3.125e18
fission_rate_function = unity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[bottom_T]
type = DirichletBC
variable = T
boundary = 1
value = 500.0
[]
[top_T]
type = NeumannBC
variable = T
boundary = 2
value = 0.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 10000
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 2
dt = 1.0e7
[]
[Postprocessors]
[rod_total_power]
type = ElementIntegralPower
variable = T
fission_rate = fission_rate
block = 1
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
file_base = out
exodus = true
[]
(test/tests/fission_rate/exact.i)
# This test is to verify the implementation of FissionRate material.
pellet_radius = 0.01
energy_per_fission = 100
[Problem]
solve = false
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[AuxVariables]
[temperature]
[]
[]
[AuxKernels]
[temperature_aux]
type = FunctionAux
variable = temperature
function = '100 + 10000 * x'
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.5 1'
y = '0.9 1.1 0.9'
[]
[]
[Materials]
[fission_rate]
type = FissionRate
rod_linear_power = power_profile
axial_power_profile = axial_profile
energy_per_fission = ${energy_per_fission}
pellet_radius = ${pellet_radius}
pellet_inner_radius = '${fparse pellet_radius / 2}'
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
num_steps = 5
[]
[Postprocessors]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[integral_power]
type = ElementIntegralPower
variable = temperature
energy_per_fission = ${energy_per_fission}
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[fission_rate_exact]
type = ParsedPostprocessor
pp_names = 'axial_power linear_power'
expression = 'correction := 1 / (${pellet_radius}^2 - ${fparse pellet_radius / 2}^2) / ${energy_per_fission} / 3.1415926535;
correction * axial_power * linear_power'
[]
[fission_rate_diff]
type = ParsedPostprocessor
pp_names = 'fission_rate_exact fission_rate'
expression = '(fission_rate_exact - fission_rate) / fission_rate_exact'
outputs = none
[]
[fission_rate_max_diff]
type = TimeExtremeValue
postprocessor = 'fission_rate_diff'
value_type = abs_max
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_new_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 38974.7 38974.7'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 1.9e+19 1.9e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 32000 32000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '295 295 295 295 295 295 295 295 593.58 606.36 619.13 630.26 640.87 651.76 662.67 673.67'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
bubble_gb_limit = 1.0e+11
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 25000000
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_75MW_sub_new_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK5/FK05.i)
# This file was created using BIF with the following inputs:
# FK05/FK05.var - md5sum: 789d603cfbdaaeb2625ea98056214f6f
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10310.8809782
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.0592261881186
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 0.955 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.5e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10310.8809782
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.0592261881186
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.20e26
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.20e26
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 1.20e26
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/metallic_fuel/FFTF/IFR1/analysis/IFR1_base.i)
# IFR-1 ASSESSMENT CASE
# BISON recreation of the 169-pin IFR-1 experiment, which was irradiated in the
# FFTF from 9/1986 to 10/1988 to a peak burnup of about 10 at%. The assessment
# consists of three generic pins (U-10Zr, U-8Pu-10Zr, and U-19Pu-10Zr) which
# are compared against all available legacy calculations and PIE measurements
# for all 169 pins in the experiment. Composition-specific values are stored in
# three '.params' files. Units are in standard SI: J, K, kg, m, Pa, s.
# For a more complete description of the experiment, see [Dodds, 1986-1],
# [Dodds, 1986-2], [Porter and Tsai, 2011], and [Tsai et al., 1986]. For a more
# complete description of development and results of this assessment, see
# [Greenquist et al., 2021].
#
# To simulate one of the cases, use the combined input file option
# with one of the '.params' files. For example:
# mpiexec -n 4 ../../../../../bison-opt -i 'IFR1_base.i U-10Zr.params'
initial_fuel_density = 15800
[GlobalParams]
dim = 2
order = SECOND
family = LAGRANGE
elem_type = QUAD8
energy_per_fission = 3.2e-11 # [Shultis and Faw, 2008]
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
temperature = T
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = ref
extra_tag_vectors = ref
[]
[Mesh]
coord_type = RZ
# Mesh includes a fuel slug, top and bottom blanket slugs, and cladding. All
# dimensions are in meters (m). Nominal dimensions come from [Dodds, 1986-2].
type = MeshGeneratorMesh
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
# build cladding
[bottom_plug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.00287
nx = 3
ymin = 0.0
ymax = 0.015
ny = 5
[]
[bottom_corner]
type = GeneratedMeshGenerator
xmin = 0.00287
xmax = 0.00343
nx = 4
ymin = 0.0
ymax = 0.015
ny = 5
[]
[bottom_corner_rename_side]
type = SideSetsFromNormalsGenerator
input = bottom_corner
normals = '0 1 0'
new_boundary = new_side
[]
[combine_bottom_and_bottom_corner]
type = StitchedMeshGenerator
inputs = 'bottom_plug bottom_corner_rename_side'
stitch_boundaries_pairs = 'right left'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[cladding_wall]
type = GeneratedMeshGenerator
xmin = 0.00287
xmax = 0.00343
nx = 4
ymin = 0.015
ymax = 2.239
ny = 400
[]
[cladding_wall_rename_side]
type = SideSetsFromNormalsGenerator
input = cladding_wall
normals = '0 1 0'
new_boundary = new_side
[]
[combine_bottom_and_wall]
type = StitchedMeshGenerator
inputs = 'combine_bottom_and_bottom_corner cladding_wall_rename_side'
stitch_boundaries_pairs = '4 bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[top_corner]
type = GeneratedMeshGenerator
xmin = 0.00287
xmax = 0.00343
nx = 4
ymin = 2.239
ymax = 2.254
ny = 5
[]
[top_corner_rename_side]
type = SideSetsFromNormalsGenerator
input = top_corner
normals = '-1 0 0'
new_boundary = new_side
[]
[combine_wall_and_top_corner]
type = StitchedMeshGenerator
inputs = 'combine_bottom_and_wall top_corner_rename_side'
stitch_boundaries_pairs = '4 bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[top_plug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.00287
nx = 3
ymin = 2.239
ymax = 2.254
ny = 5
[]
[cladding_all]
type = StitchedMeshGenerator
inputs = 'combine_wall_and_top_corner top_plug'
stitch_boundaries_pairs = '4 right'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
# build fuel and blanket
[bottom_blanket]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.00249
nx = 6
ymin = 0.0162
ymax = 0.1812
ny = 40
[]
[fuel_slug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.00249
nx = 6
ymin = 0.1812
ymax = 1.0956
ny = 300
[]
[top_blanket]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.00249
nx = 6
ymin = 1.0956
ymax = 1.2606
ny = 40
[]
[fuel_two]
type = StitchedMeshGenerator
inputs = 'bottom_blanket fuel_slug'
stitch_boundaries_pairs = 'top bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[fuel_all]
type = StitchedMeshGenerator
inputs = 'fuel_two top_blanket'
stitch_boundaries_pairs = 'top bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
# combine and name subdomains
[combine_fuel_cladding]
type = CombinerGenerator
inputs = 'cladding_all fuel_all'
[]
[name_cladding]
type = SubdomainBoundingBoxGenerator
input = combine_fuel_cladding
bottom_left = '0.0 0.0 0.0'
top_right = '0.00343 2.254 0'
location = INSIDE
block_id = 0
block_name = clad
[]
[name_blanket]
type = SubdomainBoundingBoxGenerator
input = name_cladding
bottom_left = '0.0 0.0162 0.0'
top_right = '0.00249 1.2606 0.0'
location = INSIDE
block_id = 1
block_name = blanket
[]
[name_fuel]
type = SubdomainBoundingBoxGenerator
input = name_blanket
bottom_left = '0.0 0.1812 0.0'
top_right = '0.00249 1.0956 0.0'
location = INSIDE
block_id = 2
block_name = pellet
[]
# name boundaries
[name_centerline]
type = SideSetsFromNormalsGenerator
input = name_fuel
normals = '-1 0 0'
new_boundary = centerline
replace = true
[]
[name_slug_outer_surface]
type = SideSetsFromNormalsGenerator
input = name_centerline
normals = '1 0 0'
new_boundary = pellet_outer_radial_surface
replace = true
[]
[name_slug_ends]
type = SideSetsFromPointsGenerator
input = name_slug_outer_surface
points = '0.50e-3 0.0162 0.0
0.50e-3 1.2606 0.0'
new_boundary = 'bottom_of_bottom_pellet top_of_top_pellet'
replace = true
[]
[name_cladding_inside]
type = SideSetsFromPointsGenerator
input = name_slug_ends
points = '0.50e-3 0.015 0.0
0.00287 1.0956 0.0
0.50e-3 2.239 0.0'
new_boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
replace = true
[]
[name_cladding_outer_surface]
type = SideSetsFromPointsGenerator
input = name_cladding_inside
points = '0.00343 1.0956 0.0
0.50e-3 0.0 0.0
0.50e-3 2.254 0.0'
new_boundary = 'clad_outside_right clad_outside_bottom clad_outside_top'
replace = true
[]
[]
[Variables]
[T] # Temperature (K)
initial_condition = 298
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[fuel_clad_gap_width]
order = FIRST
family = LAGRANGE
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[fuel_volumetric_strain]
block = 'pellet blanket'
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_stress]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_elastic_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_total_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[local_power]
block = 'pellet blanket'
order = CONSTANT
family = MONOMIAL
[]
[T_coolant]
order = CONSTANT
family = MONOMIAL
[]
[pin_lhr]
block = 'pellet blanket'
order = CONSTANT
family = MONOMIAL
[]
[eutectic_thickness]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[assembly_lhr_avg_function]
# Subassembly average power as a function of time. x: time (s), y: Average
# LHGR (W/m). See [Greenquist et al., 2021].
type = PiecewiseLinear
x = '0 3600 11900880 11904480 21097440 21101040 29542320 29545920
35274240 35277840 42665040 42668640 53615520 53619120 53705520 53791920'
y = '0 38276 36089 33902 31988 33355 31988 30074
29254 27614 25153 26520 26247 26.2 26.2 26.2'
[]
[lhr_peaking_factor_function]
# Axial variation from the average LHGR. See [Porter and Tsai, 2011] and
# [Greenquist et al., 2021].
type = ParsedFunction
symbol_names = 'a0 a1 a2 a3 a4 mb bb mt bt
z_bot z_top bu_final bu_now'
symbol_values = '0.68687 2.6352 -3.20026 1.35e-5 2.69e-5 0.279 0.084 -0.301 0.416
0.1812 1.0956 0.05 burnup_max'
expression = 'bu_frac := bu_now / bu_final;
p_bot := (mb * y + bb) * bu_frac;
p_top := (mt * y + bt) * bu_frac;
z_bbot := 0.0162; p_b := if(y < z_bbot, 0, p_bot);
z_btop := 1.2606; p_t := if(y > z_btop, 0, p_top);
z1 := y - z_bot;
p_mid := a0 + a1 * z1 + a2 * z1^2 + a3 * z1^3 + a4 * z1^4;
if(y < z_bot, p_b, if(y > z_top, p_t, p_mid))'
[]
[pin_lhr_function]
type = CompositeFunction
functions = 'assembly_lhr_avg_function lhr_peaking_factor_function'
[]
[coolant_flux_function]
# Subassembly coolant mass flux. x: time (s), y: flux (kg m^-2 s^-1). See
# [Porter and Tsai, 2011].
type = PiecewiseLinear
x = '0 3600 11900880 11904480 21097440 21101040 29542320 29545920
42665040 42668640 53615520 53619120 53791920'
y = '5690 5740 5740 5900 5900 5930 5930 6040
6040 6090 6090 5690 5690'
[]
[coolant_pressure_function]
# Constant coolant inlet pressure (Pa) taken from [Cabell, 1980].
type = ConstantFunction
value = 1018327
[]
[coolant_T_in_function]
# Sodium coolant inlet temperature (K). See [Porter and Tsai, 2011] and
# [Greenquist et al., 2021].
type = PiecewiseLinear
x = '0 3600 53619120 53705520 53791920'
y = '298.0 633.15 633.15 305.0 305.0'
[]
[sodium_volume_function]
# The initial sodium height is assumed to be equal to the initial fuel
# height and sodium infiltration is ignored.
type = ParsedFunction
symbol_names = 'pellet_outer_radius cladding_gap_width blanket_top blanket_bottom'
symbol_values = '0.00249 0.00038 1.2606 0.0162'
expression = 'pi * ((pellet_outer_radius + cladding_gap_width)^2 -
pellet_outer_radius^2) * (blanket_top - blanket_bottom)'
[]
[gas_volume_function]
type = ParsedFunction
symbol_names = 'clad_internal_volume fuel_volume sodium_volume'
symbol_values = 'clad_internal_volume fuel_volume sodium_volume'
expression = 'abs(clad_internal_volume) - abs(fuel_volume) - abs(sodium_volume)'
[]
[sodium_conductivity_function]
# Thermal conductivity (W m^-1 K^-1) of the pin gap sodium according to
# [Fink and Leibowitz, 1995]
type = ParsedFunction
symbol_names = 'A B C D'
symbol_values = '124.67 -0.11381 5.5226e-5 -1.1842e-8'
expression = 'A + B * t + C * t^2 + D * t^3'
[]
[creep_timestep_min_function]
type = ParsedFunction
symbol_names = 'creep_timestep_fuel creep_timestep_blanket creep_timestep_clad'
symbol_values = 'creep_timestep_fuel creep_timestep_blanket creep_timestep_clad'
expression = 'min(min(creep_timestep_fuel, creep_timestep_blanket),
creep_timestep_clad)'
[]
[fuel_axial_elongation_max_pct_function]
type = ParsedFunction
symbol_names = 'fuel_axial_elongation_min fuel_axial_elongation_max pellet_height'
symbol_values = 'fuel_axial_elongation_min fuel_axial_elongation_max 0.9144'
expression = '(fuel_axial_elongation_max - fuel_axial_elongation_min) /
pellet_height * 100'
[]
[fuel_radial_dilation_max_pct_function]
type = ParsedFunction
symbol_names = 'fuel_radial_dilation_max pellet_outer_radius'
symbol_values = 'fuel_radial_dilation_max 0.00249'
expression = 'fuel_radial_dilation_max / pellet_outer_radius * 100'
[]
[clad_axial_elongation_max_pct_function]
type = ParsedFunction
symbol_names = 'clad_axial_elongation_max plug_height cladding_total_height'
symbol_values = 'clad_axial_elongation_max 0.015 2.254'
expression = 'clad_axial_elongation_max / (plug_height + cladding_total_height) *
100'
[]
[clad_radial_dilation_max_pct_function]
type = ParsedFunction
symbol_names = 'clad_radial_dilation_max cladding_outer_radius'
symbol_values = 'clad_radial_dilation_max 0.00343'
expression = 'clad_radial_dilation_max / cladding_outer_radius * 100'
[]
[plenum_compressibility_function]
# Accounts for nonideality in fission gas [Hobbs and Charboneau, 2020].
type = ParsedFunction
symbol_names = 'plenum_pressure A B C'
symbol_values = 'plenum_pressure 1.002 -3.4e-8 -1.9e-15'
expression = 'A + B * plenum_pressure + C * plenum_pressure^2'
[]
[compressibility_times_temperature_function]
type = ParsedFunction
symbol_names = 'plenum_temperature plenum_compressibility'
symbol_values = 'plenum_temperature plenum_compressibility'
expression = 'plenum_temperature * plenum_compressibility'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy
creep_strain_zz elastic_strain_xx elastic_strain_yy
elastic_strain_zz strain_xx strain_yy strain_zz'
[fuel_mechanics]
block = 'pellet blanket'
eigenstrain_names = 'fuel_thermal_strain fuel_gaseous_strain
fuel_solid_strain'
extra_vector_tags = ref
[]
[clad_mechanics]
block = clad
eigenstrain_names = 'clad_thermal_strain clad_gaseous_strain'
extra_vector_tags = ref
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = ref
[]
[heat_conduction_time_derivative]
type = HeatConductionTimeDerivative
variable = T
extra_vector_tags = ref
[]
[heat_conduction]
type = HeatConduction
variable = T
extra_vector_tags = ref
[]
[heat_source]
type = FissionRateHeatSource
block = 'pellet blanket'
variable = T
fission_rate = fission_rate
extra_vector_tags = ref
[]
[]
[AuxKernels]
[gap_conductance]
type = MaterialRealAux
variable = gap_conductance
property = gap_conductance
boundary = pellet_outer_radial_surface
[]
[fuel_clad_gap_width]
type = ParsedAux
variable = fuel_clad_gap_width
coupled_variables = penetration
expression = '-penetration'
[]
[failed_element]
type = MaterialRealAux
variable = element_failed
property = failed
boundary = clad_outside_right
[]
[fuel_volumetric_strain]
type = RankTwoScalarAux
block = 'pellet blanket'
variable = fuel_volumetric_strain
rank_two_tensor = total_strain
scalar_type = VolumetricStrain
[]
[clad_hoop_stress]
type = RankTwoAux
block = clad
variable = clad_hoop_stress
rank_two_tensor = stress
index_i = 2
index_j = 2
[]
[clad_hoop_creep_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_creep_strain
rank_two_tensor = creep_strain
index_i = 2
index_j = 2
[]
[clad_hoop_elastic_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_elastic_strain
rank_two_tensor = elastic_strain
index_i = 2
index_j = 2
[]
[clad_hoop_total_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_total_strain
rank_two_tensor = total_strain
index_i = 2
index_j = 2
[]
[local_power]
type = FunctionAux
block = 'pellet blanket'
variable = local_power
function = lhr_peaking_factor_function
[]
[T_coolant]
type = MaterialRealAux
variable = T_coolant
property = coolant_temperature
boundary = clad_outside_right
[]
[pin_lhr]
type = FunctionAux
block = 'pellet blanket'
variable = pin_lhr
function = pin_lhr_function
[]
[eutectic_thickness]
type = DiffusionalEutecticThicknessFCCI
block = clad
variable = eutectic_thickness
temperature = T
boundary = clad_inside_right
execute_on = TIMESTEP_END
[]
[]
[Contact]
# Assessment uses frictionless contact. See [Greenquist et al., 2021] for
# a study comparing the various contact models.
[frictionless_fuel_clad_mechanical]
primary = clad_inside_right
secondary = pellet_outer_radial_surface
model = frictionless
formulation = kinematic
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = T
primary = clad_inside_right
secondary = pellet_outer_radial_surface
gap_geometry_type = CYLINDER
gap_conductivity_function = sodium_conductivity_function
gap_conductivity_function_variable = T
quadrature = true
min_gap = 0.00038 # Set to the initial gap width.
tangential_tolerance = 1e-4
[]
[]
[BCs]
[fix_disp_x_all]
type = DirichletBC
variable = disp_x
value = 0.0
boundary = centerline
[]
[fix_disp_y_all]
type = DirichletBC
variable = disp_y
value = 0.0
boundary = 'clad_outside_bottom bottom_of_bottom_pellet'
[]
[Pressure]
[coolant_pressure]
function = coolant_pressure_function
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
[]
[]
[PlenumPressure]
[plenum_pressure]
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
startup_time = 0
initial_pressure = 101325 # 1 atm [Greenquist et al., 2021]
volume = gas_volume
material_input = fission_gas_released
R = 8.3143
temperature = plenum_temperature
output = plenum_pressure
[]
[]
[]
[PlenumTemperature]
[plenum_temperature]
temperature = T
boundary = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet clad_inside_bottom clad_inside_right
clad_inside_top'
inner_surfaces = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet'
outer_surfaces = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[CoolantChannel]
[convective_clad_surface]
variable = T
inlet_temperature = coolant_T_in_function
inlet_pressure = coolant_pressure_function
inlet_massflux = coolant_flux_function
coolant_material = sodium
rod_diameter = 0.00686 # [Dodds, 1986-2]
rod_pitch = 0.00823 # [Greenquist et al., 2021]
linear_heat_rate = assembly_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
subchannel_geometry = triangular
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
[]
[]
[Materials]
###### FUEL ######
[fuel_fission_rate]
type = UPuZrFissionRate
block = pellet
rod_linear_power = assembly_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
pellet_radius = 0.00249 # [Dodds, 1986-2]
initial_X_Zr = 0.224 # [Dodds, 1986-2]
X_Zr = 0.224
outputs = exodus
output_properties = fission_rate
[]
[fuel_burnup]
type = UPuZrBurnup
block = pellet
density = ${initial_fuel_density} # [Dodds, 1986-2]
initial_X_Pu = ${initial_X_Pu} # [Dodds, 1986-2]
initial_X_Zr = 0.224 # [Dodds, 1986-2]
outputs = exodus
output_properties = burnup
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density} # [Dodds, 1986-2]
[]
[fuel_sodium_logging]
type = UPuZrSodiumLogging
block = pellet
porosity = porosity
sodium_infiltration_fraction = ${Na_infiltration_fraction} # [Bauer and Holland, 1995]
outputs = exodus
output_properties = sodium_logged_porosity
[]
[fuel_thermal_properties]
type = UPuZrThermal
block = pellet
X_Pu = ${initial_X_Pu} # [Dodds, 1986-2]
X_Zr = 0.224 # [Dodds, 1986-2]
spheat_model = savage
thcond_model = lanl
porosity_model = logged
porosity = porosity
sodium_logged_porosity = sodium_logged_porosity
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = pellet
X_Pu = ${initial_X_Pu} # [Dodds, 1986-2]
X_Zr = 0.224 # [Dodds, 1986-2]
porosity = porosity
[]
[fuel_creep]
type = UPuZrCreepUpdate
block = pellet
porosity = porosity
max_inelastic_increment = 3e-3
effective_inelastic_strain_name = fuel_effective_creep_strain
[]
[fuel_gaseous_swelling]
type = UPuZrGaseousEigenstrain
block = pellet
fission_rate = fission_rate
anisotropic_factor = 0.5 # [Pahl et al., 1990]
bubble_number_density = 5e17 # [Casagranda et al., 2020]
interconnection_initiating_porosity = ${interconnection_init_porosity} # [Casagranda et al., 2020]
interconnection_terminating_porosity = ${interconnection_term_porosity} # [Casagranda et al., 2020]
eigenstrain_name = fuel_gaseous_strain
outputs = exodus
output_properties = 'gas_swelling porosity interconnectivity'
[]
[fuel_solid_swelling]
type = BurnupDependentEigenstrain
block = pellet
eigenstrain_name = fuel_solid_strain
swelling_name = solid_swelling
outputs = exodus
output_properties = solid_swelling
swelling_factor = 0 # Solid swelling is negligible below 10% burnup
[]
[fuel_fission_gas_release]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
porosity = porosity
critical_porosity = ${critical_porosity} # [Casagranda et al., 2020]
fractional_fgr_initial = ${fgr_init} # [Casagranda et al., 2020]
fractional_fgr_post = ${fgr_post} # [Casagranda et al., 2020]
[]
[fuel_thermal_expansion]
type = UPuZrThermalExpansionEigenstrain
block = pellet
stress_free_temperature = 298
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
block = pellet
inelastic_models = fuel_creep
[]
###### BLANKET ######
[blanket_fission_rate]
type = UPuZrFissionRate
block = blanket
rod_linear_power = assembly_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
pellet_radius = 0.00249
initial_X_Zr = 0.224 # 10 wt% [Dodds, 1986-2]
X_Zr = 0.224
outputs = exodus
output_properties = fission_rate
[]
[blanket_burnup]
type = UPuZrBurnup
block = blanket
density = 15800 # [Dodds, 1986-2]
initial_X_Pu = 0 # [Dodds, 1986-2]
initial_X_Zr = 0.224 # [Dodds, 1986-2]
outputs = exodus
output_properties = burnup
[]
[blanket_density]
type = StrainAdjustedDensity
block = blanket
strain_free_density = 15800 # [Dodds, 1986-2]
[]
[blanket_sodium_logging]
type = UPuZrSodiumLogging
block = blanket
porosity = porosity
sodium_infiltration_fraction = 0.08 # [Bauer and Holland, 1995]
outputs = exodus
output_properties = sodium_logged_porosity
[]
[blanket_thermal_properties]
type = UPuZrThermal
block = blanket
X_Pu = 0 # [Dodds, 1986-2]
X_Zr = 0.224 # [Dodds, 1986-2]
spheat_model = savage
thcond_model = lanl
porosity_model = logged
porosity = porosity
sodium_logged_porosity = sodium_logged_porosity
[]
[blanket_elasticity_tensor]
type = UPuZrElasticityTensor
block = blanket
X_Pu = 0 # [Dodds, 1986-2]
X_Zr = 0.224 # [Dodds, 1986-2]
porosity = porosity
[]
[blanket_creep]
type = UPuZrCreepUpdate
block = blanket
porosity = porosity
max_inelastic_increment = 3e-3
effective_inelastic_strain_name = blanket_effective_creep_strain
[]
[blanket_gaseous_swelling]
type = UPuZrGaseousEigenstrain
block = blanket
fission_rate = fission_rate
anisotropic_factor = 0.5 # [Pahl et al., 1990]
bubble_number_density = 5e17 # [Casagranda et al., 2020]
interconnection_initiating_porosity = 0.25 # [Casagranda et al., 2020]
interconnection_terminating_porosity = 0.27 # [Casagranda et al., 2020]
eigenstrain_name = fuel_gaseous_strain
outputs = exodus
output_properties = 'gas_swelling porosity interconnectivity'
[]
[blanket_solid_swelling]
type = BurnupDependentEigenstrain
block = blanket
eigenstrain_name = fuel_solid_strain
swelling_name = solid_swelling
outputs = exodus
output_properties = solid_swelling
swelling_factor = 0 # Solid swelling is negligible below 10% burnup
[]
[blanket_fission_gas_release]
type = UPuZrFissionGasRelease
block = blanket
fission_rate = fission_rate
porosity = porosity
critical_porosity = 0.26 # [Casagranda et al., 2020]
fractional_fgr_initial = 0.454 # [Casagranda et al., 2020]
fractional_fgr_post = 0.714 # [Casagranda et al., 2020]
[]
[blanket_thermal_expansion]
type = UPuZrThermalExpansionEigenstrain
block = blanket
stress_free_temperature = 298
eigenstrain_name = fuel_thermal_strain
[]
[blanket_elastic_stress]
type = ComputeMultipleInelasticStress
block = blanket
inelastic_models = blanket_creep
[]
###### CLADDING ######
[fast_neutron_flux]
type = UPuZrFastNeutronFlux
pellet_radius = 0.00249
axial_power_profile = lhr_peaking_factor_function
rod_linear_power = assembly_lhr_avg_function
initial_density = 15800 # [Dodds, 1986-2]
initial_X_Pu = ${initial_X_Pu} # [Dodds, 1986-2]
initial_X_Zr = 0.224 # [Dodds, 1986-2]
enrichment_U235 = ${enrichment_U235} # [Dodds, 1986-2]
enrichment_Pu240 = 0.061 # [Dodds, 1986-2]
calculate_fluence = true
outputs = exodus
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7761 # [Hofman et al., 1989]
[]
[clad_thermal_properties]
type = D9Thermal
block = clad
[]
[clad_gaseous_swelling]
type = D9VolumetricSwellingEigenstrain
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_gaseous_strain
[]
[clad_thermal_expansion]
type = D9ThermalExpansionEigenstrain
block = clad
eigenstrain_name = clad_thermal_strain
stress_free_temperature = 298
[]
[clad_elasticity_tensor]
type = D9ElasticityTensor
block = clad
[]
[clad_creep]
type = D9CreepUpdate
block = clad
max_inelastic_increment = 3e-3 # 1e-2
effective_inelastic_strain_name = clad_effective_creep_strain
[]
[clad_failure]
type = D9FailureClad
method = steady_state
hoop_stress = stress_zz
boundary = clad_outside_right
outputs = exodus
output_properties = cdf_failure
[]
[inner_clad_wastage]
type = MetallicFuelWastage
block = clad
method = flux_d9
burnup = 0 # not used but must be specified
outputs = exodus
output_properties = wastage_thickness
[]
[outer_clad_wastage]
type = MetallicFuelCoolantWastage
block = clad
clad_material = SS316 # does not have D9
use_effective_method = true
outputs = exodus
[]
[clad_wastage_fraction]
type = MetallicFuelWastageDamage
block = clad
wastage_thickness = wastage_thickness
pellet_length = 0.9144
pellet_y_start = 0.1812
cladding_thickness = 0.00056
outputs = exodus
[]
[clad_damage_fraction]
type = ScalarMaterialDamage
block = clad
damage_index = thinning_fraction
outputs = exodus
[]
[clad_elastic_stress]
type = ComputeMultipleInelasticStress
block = clad
inelastic_models = clad_creep
[]
[]
[Dampers]
[T_damper]
type = MaxIncrement
variable = T
max_increment = 25
[]
[disp_x_damper]
type = MaxIncrement
variable = disp_x
max_increment = 3.00E-04
[]
[disp_y_damper]
type = MaxIncrement
variable = disp_y
max_increment = 3.00E-04
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package
-ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist
51'
line_search = NONE
l_max_its = 30
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 5e-7
start_time = 0
end_time = 53791920
dtmin = 1e-2
dtmax = 1e6
verbose = true
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 10
iteration_window = 4
growth_factor = 1.25
cutback_factor = 0.512
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = assembly_lhr_avg_function
timestep_limiting_postprocessor = creep_timestep_min
[]
[]
[Postprocessors]
###### POWER ######
[fission_rate_density_avg]
type = ElementAverageValue
block = 'pellet blanket'
variable = fission_rate
outputs = csv
[]
[fast_neutron_fluence_avg]
type = ElementAverageValue
variable = fast_neutron_fluence
outputs = 'csv chkfile'
[]
[fast_neutron_fluence_max]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = max
outputs = 'csv chkfile'
[]
[pin_hr_tot]
type = ElementIntegralPower
block = 'pellet blanket'
variable = T # required but not actually used
use_material_fission_rate = true
fission_rate_material = fission_rate
outputs = csv
[]
[pin_lhr_avg]
type = FunctionValuePostprocessor
function = assembly_lhr_avg_function
outputs = csv
[]
###### HEAT TRANSFER ######
[radial_heat_flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = T
boundary = pellet_outer_radial_surface
diffusivity = thermal_conductivity
outputs = csv
[]
[radial_heat_flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = T
boundary = clad_outside_right
diffusivity = thermal_conductivity
outputs = csv
[]
###### FISSION GAS ###### (needed for simulation to run)
[fission_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = 'pellet blanket'
outputs = 'csv chkfile'
[]
[fission_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = 'pellet blanket'
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[fission_gas_released_pct]
type = FGRPercent
fission_gas_generated = fission_gas_produced
fission_gas_released = fission_gas_released
outputs = 'console csv chkfile'
[]
[clad_internal_volume]
type = InternalVolume
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[fuel_volume]
type = InternalVolume
boundary = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet'
scale_factor = -1 # makes the fuel volume positive
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[sodium_volume]
type = FunctionValuePostprocessor
function = sodium_volume_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[gas_volume]
type = FunctionValuePostprocessor
function = gas_volume_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[plenum_compressibility]
type = FunctionValuePostprocessor
function = plenum_compressibility_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[compressibility_times_temperature]
type = FunctionValuePostprocessor
function = compressibility_times_temperature_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
###### BURNUP ######
[burnup_max]
type = ElementExtremeValue
block = pellet
variable = burnup
value_type = max
outputs = csv
[]
[burnup_max_pct]
type = LinearCombinationPostprocessor
pp_names = burnup_max
pp_coefs = 100
outputs = 'csv chkfile'
[]
[burnup_avg]
type = ElementAverageValue
block = pellet
variable = burnup
outputs = csv
[]
[burnup_avg_pct]
type = LinearCombinationPostprocessor
pp_names = burnup_avg
pp_coefs = 100
outputs = 'console csv chkfile'
[]
###### FUEL TEMPERATURE ######
[fuel_T_max]
type = ElementExtremeValue
block = pellet
variable = T
value_type = max
outputs = csv
[]
[fuel_T_max_peak]
type = TimeExtremeValue
postprocessor = fuel_T_max
value_type = max
outputs = 'csv chkfile'
[]
[fuel_T_surface_max]
type = NodalExtremeValue
boundary = pellet_outer_radial_surface
variable = T
value_type = max
outputs = csv
[]
[fuel_T_surface_max_peak]
type = TimeExtremeValue
postprocessor = fuel_T_surface_max
value_type = max
outputs = 'csv chkfile'
[]
###### CLADDING TEMPERATURE ######
[clad_T_max]
type = ElementExtremeValue
block = clad
variable = T
value_type = max
outputs = csv
[]
[clad_T_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_max
value_type = max
outputs = csv
[]
[clad_T_inner_surface_max]
type = NodalExtremeValue
boundary = clad_inside_right
variable = T
value_type = max
outputs = csv
[]
[clad_T_inner_surface_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_inner_surface_max
value_type = max
outputs = 'csv chkfile'
[]
[clad_T_outer_surface_max]
type = NodalExtremeValue
boundary = clad_outside_right
variable = T
value_type = max
outputs = csv
[]
[clad_T_outer_surface_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_outer_surface_max
value_type = max
outputs = 'csv chkfile'
[]
###### COOLANT PARAMETERS ######
[T_coolant_in]
type = FunctionValuePostprocessor
function = coolant_T_in_function
outputs = csv
[]
[T_coolant_out]
type = ElementExtremeValue
block = clad
variable = T_coolant
value_type = max
outputs = csv
[]
[coolant_flux]
type = FunctionValuePostprocessor
function = coolant_flux_function
outputs = csv
[]
###### FUEL DEFORMATION ######
[fuel_axial_elongation_min]
type = NodalExtremeValue
block = pellet
variable = disp_y
value_type = min
outputs = csv
[]
[fuel_axial_elongation_max]
type = NodalExtremeValue
block = pellet
variable = disp_y
value_type = max
outputs = csv
[]
[fuel_axial_elongation_max_pct]
type = FunctionValuePostprocessor
function = fuel_axial_elongation_max_pct_function
outputs = 'console csv chkfile'
[]
[fuel_radial_dilation_max]
type = NodalExtremeValue
variable = disp_x
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
[fuel_radial_dilation_max_pct]
type = FunctionValuePostprocessor
function = fuel_radial_dilation_max_pct_function
outputs = csv
[]
###### CLADDING DEFORMATION ######
[clad_axial_elongation_max]
type = NodalExtremeValue
block = clad
variable = disp_y
value_type = max
outputs = csv
[]
[clad_axial_elongation_max_pct]
type = FunctionValuePostprocessor
function = clad_axial_elongation_max_pct_function
outputs = 'csv chkfile'
[]
[clad_radial_dilation_max]
type = NodalExtremeValue
variable = disp_x
boundary = clad_outside_right
value_type = max
outputs = csv
[]
[clad_radial_dilation_max_pct]
type = FunctionValuePostprocessor
function = clad_radial_dilation_max_pct_function
outputs = 'console csv chkfile'
[]
###### GAP DEFORMATION AND MECHANICS ######
[gap_width_min]
type = NodalExtremeValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
value_type = min
outputs = csv
[]
[gap_width_max]
type = NodalExtremeValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
[gap_width_avg]
type = SideAverageValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
outputs = csv
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = contact_pressure
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
###### FUEL MECHANICS ######
[fuel_hydrostatic_stress_min]
type = ElementExtremeValue
block = 'pellet blanket'
variable = hydrostatic_stress
value_type = min
outputs = csv
[]
[fuel_hydrostatic_stress_max]
type = ElementExtremeValue
block = 'pellet blanket'
variable = hydrostatic_stress
value_type = max
outputs = csv
[]
[fuel_hydrostatic_stress_avg]
type = ElementAverageValue
block = 'pellet blanket'
variable = hydrostatic_stress
outputs = csv
[]
[fuel_volumetric_strain_avg]
type = ElementAverageValue
block = 'pellet blanket'
variable = fuel_volumetric_strain
outputs = 'csv chkfile'
[]
###### CLADDING MECHANICS ######
[clad_hoop_stress_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_stress
value_type = max
outputs = csv
[]
[clad_hoop_creep_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_creep_strain
value_type = max
outputs = 'csv chkfile'
[]
[clad_hoop_elastic_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_elastic_strain
value_type = max
outputs = 'csv chkfile'
[]
[clad_hoop_total_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_total_strain
value_type = max
outputs = 'csv chkfile'
[]
[cdf_max]
type = ElementExtremeValue
variable = cdf_failure
value_type = max
outputs = 'console csv'
[]
###### PERFORMANCE ######
[creep_timestep_fuel]
type = MaterialTimeStepPostprocessor
block = pellet
outputs = csv
[]
[creep_timestep_blanket]
type = MaterialTimeStepPostprocessor
block = blanket
outputs = csv
[]
[creep_timestep_clad]
type = MaterialTimeStepPostprocessor
block = clad
outputs = csv
[]
[creep_timestep_min]
type = FunctionValuePostprocessor
function = creep_timestep_min_function
outputs = csv
[]
###### SWELLING ######
[solid_swelling_avg]
type = ElementAverageValue
block = pellet
variable = solid_swelling
outputs = 'csv chkfile'
[]
[gas_swelling_avg]
type = ElementAverageValue
block = pellet
variable = gas_swelling
outputs = 'csv chkfile'
[]
[porosity_avg]
type = ElementAverageValue
block = pellet
variable = porosity
outputs = 'csv chkfile'
[]
[sodium_logged_porosity_avg]
type = ElementAverageValue
block = pellet
variable = sodium_logged_porosity
outputs = 'csv chkfile'
[]
###### CLADDING WASTAGE ######
[wastage_max]
type = ElementExtremeValue
block = clad
variable = wastage_thickness
value_type = max
outputs = 'csv chkfile'
[]
[wastage_min]
type = ElementExtremeValue
block = clad
variable = wastage_thickness
value_type = min
outputs = csv
[]
[wastage_avg]
type = ElementAverageValue
block = clad
variable = wastage_thickness
outputs = csv
[]
[eutectic_max]
type = ElementExtremeValue
block = clad
variable = eutectic_thickness
value_type = max
outputs = csv
[]
[eutectic_min]
type = ElementExtremeValue
block = clad
variable = eutectic_thickness
value_type = min
outputs = csv
[]
[eutectic_avg]
type = ElementAverageValue
block = clad
variable = eutectic_thickness
outputs = csv
[]
[]
[VectorPostprocessors]
[fuel_centerline]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = centerline
sort_by = y
outputs = csv
[]
[fuel_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = pellet_outer_radial_surface
sort_by = y
outputs = csv
[]
[clad_inner_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = clad_inside_right
sort_by = y
outputs = csv
[]
[clad_outer_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = clad_outside_right
sort_by = y
outputs = csv
[]
[]
[PerformanceMetricOutputs]
outputs = 'csv performance'
[]
[Outputs]
color = true
perf_graph = true
file_base = '${composition}'
[console]
type = Console
output_screen = true
[]
[exodus]
type = Exodus
execute_on = 'INITIAL TIMESTEP_END FINAL'
time_step_interval = 50
file_base = '${composition}_exodus'
[]
[csv]
type = CSV
execute_postprocessors_on = 'INITIAL TIMESTEP_END'
execute_vector_postprocessors_on = FINAL
file_base = '${composition}_csv'
[]
[chkfile]
type = CSV
execute_postprocessors_on = FINAL
file_base = '${composition}_chkfile'
[]
[performance]
type = CSV
hide = 'plenum_pressure plenum_temperature'
execute_postprocessors_on = FINAL
file_base = '${composition}_performance'
[]
[]
# REFERENCES
# [Bauer and Holland, 1995]
# T.H. Bauer, J.W. Holland "In-Pile Measurement of the Thermal Conductivity
# of Irradiated Metallic Fuel" Nuclear Technology Vol 110 Issue 3, 407-421,
# (1995)
# [Cabell, 1980]
# C.P. Cabell "A Summary Description of the Fast Flux Test Facility"
# Westinghouse Hanford Company HEDL-400, Hanford, Washington (1980)
# [Casagranda et al., 2020]
# A. Casagranda, S. Novascone, L. Aagesen, W. Jiang, J.H. Ke, D. Stafford,
# C. Matthews, A. Toptan, K. Gamble, J. Hales, "Summary of BISON Milestones:
# NEAMS FY-20 Report" Idaho National Laboratory INL/EXT-20-60002-Rev000,
# 1768565, Idaho Falls, Idaho (2020)
# [Dodds, 1986-1]
# N.E. Dodds, "Test design description. Volumne 1B. IFR-1 metal fuel
# irradiation (AK-181)" Argonne National Laboratory ANL-iFR-43, Argonne,
# Illinois, (1986)
# [Dodds, 1986-2]
# N.E. Dodds, "Test design description Volume 2, Part 1. IFR-1 metal fuel
# irradiation test (AK-181) element as-built data" Argonne National
# Laboratory ANL-IFR-44, Argonne, Illinois (1986)
# [Fink and Leibowitz, 1995]
# J. K. Fink and L. Leibowitz, "Thermodynamic and transport properties of
# sodium liquid and vapor", Argonne National Laboratory ANL/RE--95/2, 94649,
# Argonne, Illinois (1995)
# [Greenquist et al., 2021]
# I. Greenquist, K.M. Cunningham, J. Hu, J.J. Powers, D.C. Crawford,
# "Development of a U-19Pu-10Zr fuel performance benchmark case based on the
# IFR-1 experiment" Journal of Nuclear Materials Vol. 553, 152997 (2021)
# [Hirschhorn and Powers, 2021]
# J. Hirschhorn, J. Powers "Assessment of the BISON Metallic Fuel
# Performance Models", Oak Ridge National Laboratory ORNLTM-2020/1824,
# 1763469, Oak Ridge, Tennessee (2021)
# [Hobbs and Charboneau, 2020]
# I.M. Hobbs, J.A. Charboneau "Compressibility of gas mixtures pertaining to
# nuclear fuel rods" Journal of Physics Comminications Vol. 4, Iss. 9,
# 095008 (2020)
# [Hofman et al., 1989]
# G. L. Hofman, M. C. Billone, J. F. Koenig, J. M. Kramer, J. D. B. Lambert,
# L. Leibowitz, Y. Orechwa, D. R. Pedersen, D. L. Porter, H. Tsai, A. E.
# Wright, "Metallic Fuels Handbook", Argonne National Laboratory ANL-NSE-3,
# Argonne, Illinois (1989)
# [Janney, 2018]
# Dawn E. Janney, "Metallic Fuels Handbook, Part 1: Alloys Based on U-Zr,
# Pu-Zr, U-Pu, or U-Pu-Zr, Including Those with Minor Actinides (Np, Am,
# Cm), Rare-earth Elements (La, Ce, Pr, Nd, Gd), and Y", Idaho National
# Laboratory INL/EXT-15-36520, Idaho Falls, Idaho (2018)
# [Pahl et al., 1990]
# R.G. Pahl, D.L. Porter, C.E. Lahm, G.L. Hofman "Experimental studies of
# U-Pu-Zr fast reactor fuel pins in the Experimental Breeder Reactor-II"
# Metallurgic Transactions A Vol 21A, 1863-1870, (1990)
# [Porter and Tsai, 2011]
# D. L. Porter and H. Tsai, "Full-Length Metallic Fast Reactor Fuel Pin Test
# in FFTF (IFR-1)"", Idaho National Laboratory INL/LTD-11-21062, Idaho
# Falls, Idaho (2011)
# [Shultis and Faw, 2008]
# J.K. Shultis, R.E. Faw "Fundamentals of Nuclear Science and Engineering
# Second Edition" CRC Press, Boca Raton, Florida (2008)
# [Tsai et al., 1986]
# H. Tsai, L.A. Neimark, M.C. Billone, R.M. Fryer, J.F. Koenig, W.K. Lehto,
# D.J. Malloy, "Test Design Description (TDD). Volume 1A. Design description
# and safety analysis for IFR-1 metal fuels irradiation test in FFTF"
# Argonne National Laboratory ANL-IFR-33, Argonne, Illinois (1986)
(examples/TRISO/failure_probability_direct_integration/ipyc_cracking.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = true
[]
[]
[XFEM]
qrule = volfrac
output_cut_plane = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[ipyc_crack]
type = LineSegmentCutUserObject
cut_data = '0.0000 0.0 0.001 0.0'
#cut_data = '0 0 0.00174 -0.00257'
time_start_cut = 0.0
time_end_cut = 0.0
block = IPyC
[]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = 'gen'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz '
'max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 5e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 2004 2005'
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-11
nl_abs_tol = 1e-11
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
# For testing, we only run 20 time steps
num_steps = 20
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
perf_graph = true
exodus = false
[]
(test/tests/triso_failure/triso_ipyc_characteristic_strength.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temp
X = 1.02
flux_conversion_factor = 0.85
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[characteristic_strength]
type = ElementExtremeMaterialProperty
mat_prop = characteristic_strength
block = IPyC
value_type = max
[]
[flence]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = IPyC
value_type = max
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
[]
(examples/3D_rodlet_3pellets/smeared/smearedTest3D.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} # initial fuel density 95.0% of theoretical (10980 kg/m3)
displacements = 'disp_x disp_y disp_z'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
patch_size = 20
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = smearedTest3.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y disp_z'
[]
[Variables]
[temp]
initial_condition = 580
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[hoop_inelastic_strain]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_strain fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 2.49e-3
a_upper = 2.621e-2
fuel_inner_radius = 0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[hoop_inelastic_strain]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = hoop_inelastic_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
tangential_tolerance = 1e-4
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_z_all]
type = DirichletBC
variable = disp_z
boundary = 13
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = interior_temp
volume = gas_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.02
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup_function = burnup
temperature = temp
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_strain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = ' lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = -200
end_time = 3.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
optimal_iterations = 15
iteration_window = 3
linear_iteration_ratio = 100
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[interior_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[pellet_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_total_power] # should be 1/4 of the rod_input_power as we are using in quarter symmetry
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.02372
[]
[average_fission_rate]
type = AverageFissionRate
rod_ave_lin_pow = power_history
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'fission_gas_released plenum_pressure interior_temp gas_volume'
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL009/BFL009.i)
################################################################################
#
# Description: Calvert Cliffs BFL009
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFL009_power.csv
# axial peaking factor file BFL009_axial_peaking.csv
# flux boundary condition file BFL009_fast_flux.csv
#
################################################################################
initial_fuel_density = 10460.45
[GlobalParams]
density = ${initial_fuel_density} #95.332 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = BFL009_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFL009_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFL009_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 167148794 167149154'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 167148794 167149154'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFL009_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0013589
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '9 13'
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10460.45
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 273
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 167149154
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_2984]
type = NodalVariableValue
nodeid = 2983
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK9/FK09.i)
# This file was created using BIF with the following inputs:
# FK06/FK06.var - md5sum: 5a60c05af67ba840a89caacf70b852e2
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10310.8809782
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.0592261881186
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 0.955 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
initial_gas_types = 'He Ar'
initial_fractions = '0.25 0.75'
gas_released = fission_gas_released
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.1e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10310.8809782
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.0592261881186
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 1.30e26
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(examples/TRISO/pebble/triso_1d.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.14029 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '18 14 12 16 16'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 773.15
[]
[conc_Cs]
initial_condition = 0.0
scaling = 1e18
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e3 4.51008e7' #change time (s) for desired EFPD
y = '0 1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 2.927e18
[]
[temp_bc_func]
type = ParsedFunction
value = temp_bc
symbol_names = temp_bc
symbol_values = temp_bc
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[mass_source_Cs]
type = SpeciesSourceRate
variable = conc_Cs
property_name = Cs_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc_func
boundary = exterior
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.109e18
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966.0
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[mass_source_Cs_property]
type = SpeciesSourceMaterial
property_name = Cs_generation
kind = Cs
block = fuel
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[Buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_conc_Cs]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = StrainAdjustedDensity
block = IPyC
strain_free_density = 1907.0
[]
[IPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_conc_Cs]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
q1 = 125e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = StrainAdjustedDensity
block = OPyC
strain_free_density = 1907.0
[]
[OPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-6
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
dt = 500000
num_steps = 10
[]
[Postprocessors]
[temp_bc]
type = Receiver
[]
[release_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[release_Cs_inc]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
execute_on = 'initial timestep_end'
[]
[released_Cs]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
execute_on = 'initial timestep_end'
[]
[total_Cs]
type = ElementIntegralMaterialProperty
mat_prop = Cs_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Cs_released]
type = FractionalRelease
released = released_Cs
total = total_Cs
[]
[retained_Cs]
type = ElementIntegralVariablePostprocessor
variable = conc_Cs
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[aver_temp_exterior]
type = SideAverageValue
variable = temperature
boundary = exterior
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(assessment/LWR/validation/Super_Ramp/analysis/Super_Ramp_Base.i)
#This is a partial input file base with information/features common to several experiments within this assessment
#NOTE: This file will NOT run on its own, it requires a PK#X.params file and a PK##.params file to run
# physical constants
R = 8.3143 # (J/K*mol) -- THIS SHOULD BE EDITED TO USE PHYSICALCONSTANTS' VALUE
# fuel isotope fractions and fission energy
energy_per_fission = 3.28451e-11 # (J/fission)
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# rod geometry
clad_bot_gap_height = 1.0e-3 # (m)
# variable and kernel initial values
initial_temperature = 293.15 # (K)
gravity_constant = -9.81 # (m/s^2)
# fuel/cladding contact
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
roughness_secondary = 1.0e-6 # (m)
roughness_primary = 2.0e-6 # (m)
roughness_coef = 3.2
jump_distance_model = LANNING
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
# plenum parameters
initial_pressure = 2.25e6 # (Pa)
startup_time = 0 # (s)
# fuel/clad material properties
fuel_cracking_stress = 1.68e8
stress_free_temperature = 293.15 # (K)
clad_density = 6550.0 # (kg/m^3)
# numerical options
l_max_its = 100
l_tol = 1e-4
nl_max_its = 30
start_time = 0.0 # s
dtmin = 1.0 # s
[GlobalParams]
density = ${fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
initial_porosity = ${initial_fuel_porosity}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temperature'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = ${number_pellets}
pellet_height = ${pellet_height}
pellet_outer_radius = ${pellet_outer_radius}
pellet_mesh_density = customize
nx_p = 11
ny_p = 84
clad_mesh_density = customize
nx_c = 4
ny_c = 84
clad_gap_width = ${clad_gap_width}
clad_thickness = ${clad_thickness}
clad_bot_gap_height = ${clad_bot_gap_height}
bottom_clad_height = ${bottom_clad_height}
top_clad_height = ${top_clad_height}
clad_top_gap_height = ${clad_top_gap_height}
ny_cu = 3
ny_cl = 3
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
[]
[axial_power_factors]
type = PiecewiseBilinear
data_file = ${axial_power_factors_data_file}
axis = 1
[]
[clad_out_temp]
type = PiecewiseLinear
data_file = ${clad_out_temp_data_file}
format = columns
[]
[axial_temp_factors]
type = PiecewiseBilinear
data_file = ${axial_temp_factors_data_file}
axis = 1
[]
[clad_temp_bc]
type = CompositeFunction
functions = 'clad_out_temp axial_temp_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = ${coolant_pressure_data_file}
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = ${fast_neutron_flux_data_file}
format = columns
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = ${initial_grain_radius}
[]
[porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
initial_condition = ${initial_fuel_porosity}
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gaseous_porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
temperature = temperature
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
temperature = temperature
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = ${gravity_constant}
block = '1 3'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temperature
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[porosity]
type = PorosityAuxUO2
block = pellet
variable = porosity
execute_on = linear
[]
[pelletid]
type = PelletIdAux
block = pellet
variable = pellet_id
fuel_pin_geometry = pin_geometry
number_pellets = ${number_pellets}
execute_on = initial
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[gaspor]
type = MaterialRealAux
variable = gaseous_porosity
property = gaseous_porosity
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = pellet
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = pellet
execute_on = nonlinear
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
num_radial = 80
num_axial = 20
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = ${friction_coefficient}
c_normal = ${c_normal}
c_tangential = ${c_tangential}
tangential_lm_scaling = ${tangential_lm_scaling}
normal_lm_scaling = ${normal_lm_scaling}
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_secondary = ${roughness_secondary}
roughness_primary = ${roughness_primary}
roughness_coef = ${roughness_coef}
plenum_pressure = plenum_pressure
jump_distance_model = ${jump_distance_model}
contact_pressure = ${contact_pressure}
thermal_lm_scaling = ${thermal_lm_scaling}
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = 5
outer_surfaces = 10
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temperature
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_pressure}
startup_time = ${startup_time}
R = ${R}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = ${fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
density = ${fuel_density}
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
burnup_function = burnup
initial_grain_radius = ${initial_grain_radius}
[]
[fuel_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = ${fuel_cracking_stress}
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
model_relocation_recovery = true
max_relocation_recovery_fraction = 0.5
relocation_scaling_factor = 1
volumetric_swelling_increment = vol_swell_increment
layered_average_contact_pressure = layered_average_contact_pressure
outputs = all
output_properties = 'relocation_strain recovered_relocation_strain'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
hydrostatic_stress = hydrostatic_stress
diff_coeff_option = TURNBULL_D1_4D2_D3
transient_option = MICROCRACKING_BURNUP
res_param_option = HETEROGENEOUS_WHITE
ig_bubble_model = NUCLEATION_RESOLUTION
ig_diff_algorithm = polypole2
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${clad_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
fuel_pin_geometry = pin_geometry
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ${petsc_options_value}
line_search = 'none'
verbose = true
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
n_startup_steps = 1
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = ${optimal_iterations}
iteration_window = ${iteration_window}
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temperature
nodeid = 3110 #Mesh dependent!
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[midplane_hoop_strain_inner_clad]
type = ElementalVariableValue
elementid = 209 # Mesh dependent
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[midplane_hoop_stress_inner_clad]
type = ElementalVariableValue
elementid = 209 # Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[midplane_contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 3141 # Mesh dependent
execute_on = 'initial timestep_end'
[]
[total_rod_integral_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[total_rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${scale_factor}
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 10
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[midplane_clad_outer_temp]
type = NodalVariableValue
nodeid = 757 # Mesh dependent
variable = temperature
[]
[midplane_clad_inner_temp]
type = NodalVariableValue
nodeid = 747 # Mesh dependent
variable = temperature
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = false
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_burnup fission_gas_released_percentage central_fuel_temp midplane_contact_pressure'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[pbz]
type = PelletBrittleZone
block = pellet
pellet_id = pellet_id
temperature = temperature
fuel_pin_geometry = pin_geometry
number_pellets = ${number_pellets}
execute_on = 'initial linear'
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 10
[]
[]
(test/tests/triso/buffer_thermal_material/buffer_thermal_specific_heat.i)
#Specific Heat Capacity of the Buffer
# The geometry is a cube (edge length = 5 cm) made of buffer material (initial density = 1.0 g/cm$^{3}$) subject to internal heat generation.
# The cube is under uniform temperature (initially 673.15 K) and has no heat sink.
# The thermal power is ramped linearly from 0 to 0.08 Watts over 10$^{4}$ seconds and then remains constant.
# Since the specific heat capacity of the buffer is constant ($C_{P}$ = 720 J/kg-K), the temperature increase $\Delta\T_{K}$ (K) in the cube during a timestep $\Delta\t$ (s) can be calculated by:
# \Delta\T_{K} = \frac{P \cdot \Delta\t}{V \cdot \rho \cdot C_{P}}
# Where $P$ (W) is the thermal power during the timestep, $V$ (1.25x10$^{-4}$ m$^{3}$) is the volume of the cube, and $\rho$ (1000 kg/m$^{3}$) is the density of the buffer.
# A sample of the BISON and analytical calculated temperatures is shown in below.
#
# |BISON $T$ (K) | Analytical $T$ (K)|
# |----------------|-------------------|
# | 677.82 | 677.82 |
# | 846.71 | 846.71 |
# | 1024.48 | 1024.48 |
# | 1202.26 | 1202.26 |
# | 1380.04 | 1380.04 |
# | 1468.93 | 1468.93 |
# | 1557.82 | 1557.82 |
# | 1735.59 | 1735.59 |
# | 1913.37 | 1913.37 |
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 3
xmin = 0.0
xmax = 0.05
ymin = 0.0
ymax = 0.05
zmin = 0.0
zmax = 0.05
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[temp]
initial_condition = 673.15
[]
[]
[AuxVariables]
[fission_rate]
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e4 1e8'
y = '0 2e13 2e13'
[]
[temp_func]
type = PiecewiseLinear
x = ' 0 5.3e6 6.3e6 1e8'
y = '673 673 673 673'
[]
[HTC_func]
type = PiecewiseLinear
x = '0 5.3e6 6.3e6 6.4e6 1e8'
y = '0 0 0 0 0'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
fission_rate_function = power_history
value = 1.0
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
execute_on = timestep_end
[]
[]
[BCs]
[heat_removal]
type = ConvectiveFluxFunction
boundary = 'back front top bottom left right'
variable = temp
T_infinity = temp_func
coefficient = HTC_func
[]
[]
[Materials]
[Buffer_thermal_conductivity]
type = BufferThermal
thermal_conductivity_scale_factor = 1.0
specific_heat_scale_factor = 1.0
initial_density = 1000
[]
[Buffer_density]
type = ParsedMaterial
block = '0'
property_name = density
expression = 1000
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-2
nl_max_its = 150
nl_rel_tol = 1e-4
nl_abs_tol = 1e-6
start_time = 0.0
end_time = 1.4e6
num_steps = 100
dtmax = 2e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
dt = 5e2
time_t = '1e4 1e5'
time_dt = '5e2 1e5'
[]
[]
[Postprocessors]
[temp]
type = ElementAverageValue
variable = temp
execute_on = 'initial timestep_end'
[]
[specific_heat]
type = ElementAverageValue
variable = specific_heat
execute_on = 'initial timestep_end'
[]
[total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
execute_on = timestep_end
[]
[volume]
type = VolumePostprocessor
use_displaced_mesh = true
[]
[]
[Outputs]
csv = true
exodus = false
[console]
type = Console
[]
[]
(assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/quad/test_2d.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type=RZ
[mesh]
type = FileMeshGenerator
file = 'coarse_rz_quad8.e'
[]
[]
[Problem]
[]
[Variables]
[temp]
[]
[]
[AuxVariables]
[fission_rate]
block = 'pellet_type_1'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
energy_per_fission = 3.28451e-11
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 'pellet_type_1'
value = 1.21783766833e19 #fissions/m3s
[]
[]
[BCs]
[side_temp]
type = DirichletBC
variable = temp
boundary = 10
value = 500
[]
[ ]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1'
thermal_conductivity = 5.2
[]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[center_temp]
type = PointValue
point = '0.0 0.003 0'
variable = temp
[]
[avg_temp]
type = ElementAverageValue
block = 'pellet_type_1'
variable = temp
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
[]
[]
[Outputs]
perf_graph = true
csv = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_B/x441_leg_B.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_Rodlets_2D_Options.i)
# This file contains all characteristics common to the 2D models of the assessment
# NOTE: It requires information contained in rod-specific input files and is therefore not designed to run
# on its own
# Mesh parameters
patch_size = 10
fuel_blockid = 3
clad_blockid = 1
# Contact
normal_smoothing_distance = 0.1 # m
# BC boundary names
clad_surface_temperature_boundary = '1 2 3'
coolantPressure_boundary = '1 2 3'
PP_temperature = plenum_temperature
PP_volume = plenum_volume
# Numerical options
damper_max_temperature_increment = 50 # K
verbose_option = true
nl_max_its = 25
TimeStepper_optimal_iterations = 12
TimeStepper_iteration_window = 2
# Postprocessor parameters
fis_gas_grain_Postpro_type = ElementIntegralFisGasGrainSifgrs
fis_gas_boundary_Postpro_type = ElementIntegralFisGasBoundarySifgrs
clad_flux_Postpro_type = SideDiffusiveFluxIntegral
fuel_flux_Postpro_type = SideDiffusiveFluxIntegral
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
patch_size = ${patch_size}
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[AuxVariables]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = ${Physics_fuel_eigenstrain_names}
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = ${Physics_clad_eigenstrain_names}
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz'
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
formulation = KINEMATIC
normal_smoothing_distance = ${normal_smoothing_distance}
[]
[]
[ThermalContact]
[thermal_contact]
normal_smoothing_distance = ${normal_smoothing_distance}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = ${damper_max_temperature_increment}
[]
[]
[Postprocessors]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temperature
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = '3'
temperature = temperature
[]
[Debug]
show_var_residual = 'disp_x disp_y temperature'
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/MK-II/analysis/MK-II_master_new_bubble_gb_lim.i)
initial_fuel_density = 10920.4
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.07
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.55
pellet_outer_radius = 0.002315
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000085
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.549
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 10
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 12970000'
y = '0 48827.8 48827.8'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 12970000'
y = '0 2.6e+19 2.6e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12970000'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 12970000'
y = '0 40000 40000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12970000'
z = '295 295 295 295 295 295 295 295 416.36 422.49 428.63 434.27 439.36 444.71 450.07 455.48'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.07
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00463
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10920.4
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6
bubble_gb_limit = 1.0e+11
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 12970000
dtmax = 5e5
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.55 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-II_sub_new_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(test/tests/upuzr_fission_rate/test_meta_ad.i)
#This test reads the FIPD pin design geometry of X447/DP11 and generates a metadata `pellet_radius`.
#The `pellet_radius` is used by `ADUPuZrFissionRate` to convert power into fission rate using AD.
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ../fipd_rodlet_mesh_generator/fipd_pin_design/DP11_design.csv
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 4
cladding_sidewall_axial_element_numbers = '2 20 20'
cladding_top_plug_radial_elements = 4
cladding_top_plug_axial_elements = 2
cladding_bottom_plug_radial_elements = 4
cladding_bottom_plug_axial_elements = 2
fuel_radial_elements = 4
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '20'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[AuxVariables]
[temp]
[]
[X_Zr_elemental]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[temp_aux]
type = FunctionAux
variable = temp
function = '100 + 10000 * x'
[]
[X_Zr_elemental_aux]
type = ParsedAux
variable = X_Zr_elemental
coupled_variables = X_Zr
expression = X_Zr
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.1715 0.3429'
y = '0.9 1.1 0.9'
[]
[pu_profile]
type = PiecewiseLinear
axis = y
x = '0 0.1715 0.3429'
y = '0.1 0.2 0.1'
[]
[]
[Variables]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = ADTimeDerivative
variable = X_Zr
[]
[diff]
type = ADMatDiffusion
variable = X_Zr
diffusivity = 1e-6
[]
[soret]
type = ThermoDiffusion
variable = X_Zr
temp = temp
mass_diffusivity = 1e-4
heat_of_transport = 1
[]
[]
[Materials]
[fission_rate]
type = ADUPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = 0.2
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = 100
coeffs = '0.9 -1.2'
use_metadata = true
mesh_generator = gen
mesh_property_name = fuel_radius
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
num_steps = 5
[]
[Postprocessors]
[X_Zr]
type = PointValue
variable = X_Zr_elemental
point = '0.00055 0.15 0'
[]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[axial_plutonium]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = pu_profile
[]
[integral_fission_rate]
type = ADElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ADElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[]
[Outputs]
csv = true
[]
(examples/TRISO/correlation_function/h_asphericity/triso_1d.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress_max]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = stress_yy
[]
[SiC_stress_min]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(examples/TRISO/correlation_function/h_ipyc_sic_debonding/triso_debonding.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.0
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
anisotropy = false
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 8 8 8'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = true
[]
[breakmesh]
input = gen
type = BreakMeshByBlockGenerator
block_pairs = '3 4'
add_interface_on_two_sides = true
split_interface = true
[]
[opyc_node]
type = ExtraNodesetGenerator
input = breakmesh
new_boundary = 'opyc_node'
nodes = '4133'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[bounds_dummy]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
add_variables = true
temperature = temperature
strain = FINITE
incremental = true
decomposition_method = TaylorExpansion
volumetric_locking_correction = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Physics/SolidMechanics/CohesiveZone]
[czm]
boundary = 'IPyC_SiC'
displacements = 'disp_x disp_y'
strain = FINITE
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = true
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[thermal_contact_ipyc_sic]
type = GapHeatTransfer
variable = temperature
primary = IPyC_SiC
secondary = SiC_IPyC
quadrature = true
tangential_tolerance = 1e-6
min_gap = 1e-7
max_gap = 50e-6
gap_conductivity = 100
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 opyc_node'
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
[]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[normal_strength]
type = GenericFunctionMaterial
prop_names = 'N'
prop_values = 'if(y>345e-6,0.5,1.0)*3e7'
outputs = all
[]
[czm]
type = BiLinearMixedModeTraction
boundary = 'IPyC_SiC'
penalty_stiffness = 4e14
lag_mode_mixity = true
GI_c = 8
GII_c = 4
normal_strength = N
shear_strength = 1e7
displacements = 'disp_x disp_y'
eta = 2
viscosity = 1
alpha = 1e-10
mixed_mode_criterion = POWER_LAW
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Bounds]
[temperature_lower_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = temperature
bound_type = lower
bound_value = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_type'
petsc_options_value = 'lu nonzero 1e-10 vinewtonrsls'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
nl_max_its = 15
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dt = 86400
dtmin = 1
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[max_radial_sic]
type = ElementExtremeValue
variable = radial_stress
block = SiC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeValue
variable = tangential_stress
block = SiC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(test/tests/triso_failure/triso_1d_ipyc_failure.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[characteristic_strength_PyC]
type = GenericConstantMaterial
prop_values = '964000'
prop_names = 'characteristic_strength'
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(test/tests/fission_rate_heat_source/power_fcn_test.i)
# This test is to verify the implementation of FissionRateHeatSource.
# The rod power, axial power, and axial plutonium profiles are given as functions.
# UPuZrFissionRate calculates the fission rate as a function of rod power vs time,
# axial power profile vs y (or z axis in 2DRZ), and a correction factor dependent
# on the zirconium and plutonium concentration. The zirconium correction is given as
# a function of the current value of zirconium at the qp, and the axial profile of
# plutonium. Zirconium is moved along the pin using a dummy Soret kernel, assuring
# that the total zirconium in the system stays constant.
#
# Power conservation is ensured by comparing ElementIntegralPower and the linear
# power profile.
#
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[Variables]
[temp]
initial_condition = 200
[]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = TimeDerivative
variable = X_Zr
[]
[zr]
type = MatAnisoDiffusion
variable = X_Zr
diffusivity = D_fick
[]
[zr_soret]
type = MatAnisoDiffusion
variable = X_Zr
v = temp
diffusivity = D_soret
[]
[temp_dt]
type = TimeDerivative
variable = temp
[]
[diffusion]
type = Diffusion
variable = temp
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = fission_rate
fission_rate_args = X_Zr
fission_rate_derivs = fission_rate_dZr
energy_per_fission = 1e4
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 40 50 30 0'
[]
[axial_profile]
type = PowerPeakingFunction
fit = EBRII_ROW_3
pellet_length = 0.8
pellet_y_start = 0.1
[]
[pu_profile]
type = ParsedFunction
expression = '(-0.325 * y * y + 0.725 * y) * t / 5'
[]
[power_exact]
type = ParsedFunction
symbol_names = 'power_profile length'
symbol_values = 'power_profile 0.8'
expression = 'power_profile * length'
[]
[]
[Materials]
[D_fick]
type = ConstantAnisotropicMobility
tensor = '1e2 .0 .0
.0 1e2 .0
.0 .0 .0'
M_name = D_fick
[]
[D_soret]
type = ConstantAnisotropicMobility
tensor = '1e-2 .0 .0
.0 .0 .0
.0 .0 .0'
M_name = D_soret
[]
[fission_rate]
type = UPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = 0.2
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = 100
coeffs = '0.9 -1.2'
pellet_radius = 0.01
outputs = all
output_properties = fission_rate
[]
[]
[BCs]
[right]
type = DirichletBC
variable = temp
value = 200
boundary = right
[]
[]
[Preconditioning]
[full]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-10
end_time = 5
[]
[Postprocessors]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[integral_power_exact]
type = FunctionValuePostprocessor
function = power_exact
[]
[Zr_top]
type = SideAverageValue
variable = X_Zr
boundary = top
[]
[Zr_bottom]
type = SideAverageValue
variable = X_Zr
boundary = bottom
[]
[Zr_max]
type = ElementExtremeValue
variable = X_Zr
[]
[Zr_min]
type = ElementExtremeValue
variable = X_Zr
value_type = min
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/HbepR1/analysis/A184/HbepR1_A184.i)
initial_fuel_density = 10490
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.95e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .0049695
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.68
ny_cl = 3
clad_top_gap_height = 0.24682
clad_gap_width = 1.005e-4
elem_type = QUAD8
[]
patch_size = 100 # 1000 lowering this and setting the strategy to auto will reduce the amount of memory required to run the job.
patch_update_strategy = iteration #auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 273 #K
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.148e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseConstant
data_file = A184-power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = A184-axial-profile.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '-100 0 166323600 166327200' #
y = '0.014429 1 1 0.014429'
[]
[temp_ramp]
type = PiecewiseBilinear
data_file = A184-axial-tempprofile.csv
scale_factor = 1
axis = 1
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz creep_strain_xx
creep_strain_xy creep_strain_yy vonmises_stress creep_strain_zz'
[]
[]
# Define kernels for the various terms in the PDE system
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate # coupling to the fission_rate aux variable
extra_vector_tags = 'ref'
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.68664e13 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.68478
fuel_inner_radius = 0.0
fuel_outer_radius = .0049695 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0233 .9767 0 0 0 0'
RPF = RPF
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 1.1e-6
roughness_secondary = 3.5e-7
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 # Pa
function = pressure_ramp
[]
[]
[coolant_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = temp_ramp
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 0.375e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
initial_porosity = 0.04
temperature = temp
burnup = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00507
clad_outer_radius = 0.005865
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 273
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 0.00939 # fuel pellet diameter in meters
diametral_gap = 100.5e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = .047 # turn off relocation
relocation_activation1 = 5000
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 273
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10490
total_densification = .0043
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[UserObjects]
[integral_burnup] # Added the computation of the average fuel rod burnup
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 166327200
dtmax = 1e6
dtmin = 0.1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
# Clad postprocessor (The rest are created with StandardLWRFuelRodOutputs)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
output_limiting_function = power_history
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE067/UFE067.i)
################################################################################
#
# Description: Calvert Cliffs UFE067
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file UFE067_power.csv
# axial peaking factor file UFE067_axial_peaking.csv
# flux boundary condition file UFE067_fast_flux.csv
#
################################################################################
initial_fuel_density = 10396.59
[GlobalParams]
density = ${initial_fuel_density} #94.75 %TD Assume TD = 10972.65 kg/m3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.30013
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = UFE067_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = UFE067_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 141158832 141159192'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 141158832 141159192'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = UFE067_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx '
'strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy '
'creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0398 .9602 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 273
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 60
l_tol = 8e-3
nl_max_its = 80
nl_rel_tol = 1e-4
nl_abs_tol = 1e-7
start_time = -100
end_time = 141159192
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage '
'maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/carbon_monoxide_production/carbon_monoxide_production_test.i)
# Tests the carbon monoxide production postprocessor
# A constant volumetric fission rate of 1e19 fissions/m^3-s is applied to a 1 cm cube.
# All sides of the cube are held at 1000K to force a constant average surface temperature.
# The problem is solved over ten time steps of 1e7 s.
#
# The total number of fissions is computed using:
# 1) the ElementIntegralPower post processor and specifying energy_per_fission = 1 to
# get the total fission rate
# 2) the TimeIntegratedPostprocessor post processor to time integrate the total fission rate
#
# The time integrated particle surface temperature is computed using:
# 1) the SideAverageValue post processor to give the time dependent average temperature
# over the particle surface
# 2) the TimeIntegratedPostprocessor post processor to give the time integrated average temperature
# over the particle surface
#
# At t=1e8 (after ten time steps)
# _total_fissions = 1e19(fissions/m^3-s)*(0.01m)**3*1e8
# = 1e21 fissions
# _time_avg_surf_temp = _time_int_surf_temp/total_time
# = 1e11/1e8
# = 1000K
#
# 1. For the Proksch model, the moles of oxygen (and thus carbon monoxide) are given by:
#
# moles CO = [_total_fissions*_t^2/((1.211e10)*10^(8500/(_time_avg_surf_temp))] / Avogadros_number
#
# moles co = (1e21*1e8^2/((1.211e10)*10^(8500/1000))) / 6.02214076e23
# = 4.336156561E-06 moles
#
# which is what the post processor gets
#
# 2. For the GA model, the moles of oxygen are given by:
#
# moles co = (1.64*exp(-3311/1000)) * 1e21 / 6.02214076e23 = 9.934452008E-05
#
[Mesh]
[mesh]
type = FileMeshGenerator
file = cube_1cm.e
[]
[]
[Variables]
[T]
order = FIRST
family = LAGRANGE
initial_condition = 1000
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[ie]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = NeutronHeatSource
variable = T
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1.0e19
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[bottom_T]
type = DirichletBC
variable = T
boundary = '1 2 3 4 5 6'
value = 1000.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 10000
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_abs_tol = 1e-10
nl_rel_tol = 1e-8
start_time = 0.0
num_steps = 10
dt = 1.0e7
[]
[Postprocessors]
[total_fission_rate]
type = ElementIntegralPower
variable = T
fission_rate = fission_rate
block = 1
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = T
boundary = '1 2 3 4 5 6'
execute_on = 'initial timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
execute_on = 'initial timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
initial_enrichment = 0.14029
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
csv = true
[]
(test/tests/triso_failure/triso_1d_pd_penetration.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[characteristic_strength_PyC]
type = GenericConstantMaterial
prop_values = '964000'
prop_names = 'characteristic_strength'
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 2
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(assessment/LWR/validation/Riso_Base.i)
# This is a partial input file base with information/features common to several assessments cases for Riso
# NOTE: This file will NOT run on its own, it requires a Riso_XX.i file to run, with XX specifying the case to be run.
# Physical constants
gravitational_acceleration_constant = -9.81 # m/s^2
ideal_gas_constant = 8.31446261815324 # J/mol-K - Consistent with PhysicalConstants.h
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temperature'
[]
[Mesh]
coord_type = RZ
patch_size = ${patch_size}
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temperature
variable = gap_conductance
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
scale_factor = ${power_history_scale_factor}
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
scale_factor = 1
axis = 1
[]
[flux]
type = PiecewiseLinear
data_file = ${flux_data_file}
format = columns
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = ${friction_coefficient}
c_normal = ${c_normal}
c_tangential = ${c_tangential}
tangential_lm_scaling = ${tangential_lm_scaling}
normal_lm_scaling = ${normal_lm_scaling}
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
roughness_secondary = ${roughness_secondary}
roughness_primary = ${roughness_primary}
roughness_coef = ${roughness_coef}
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
initial_gas_types = He
initial_fractions = 1
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = ${thermal_lm_scaling}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temperature]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temperature
function = clad_temperature_bc
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = ${gravitational_acceleration_constant}
extra_vector_tags = 'ref'
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
end_time = ${end_time}
n_startup_steps = ${n_startup_steps}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
optimal_iterations = ${TimeStepper_optimal_iterations}
iteration_window = ${TimeStepper_iteration_window}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = ${blocks_fuel}
outputs = exodus
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = ${blocks_fuel}
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = ${blocks_fuel}
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = ${blocks_fuel}
[]
[max_fuel_temperature]
type = NodalExtremeValue
block = ${blocks_fuel}
value_type = max
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = ${blocks_fuel}
temperature = temperature
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = ${chkfile_show}
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(assessment/TRISO/validation/AGR-1/AGR-1_action.i)
#COMPACT = <compact_id>
#DATA_FILE = <data_file_name>
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.19736 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.3613 # Initial Oxygen to Uranium atom ratio
C_U = 0.3253 # Initial Carbon to Uranium atom ratio
mass_source_property_OPyC = 7.06e-7 # Default = UCO fuel kernel
extra_vector_tags = 'ref'
use_displaced_mesh = false
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 175e-6
buffer_thickness = 100e-6
IPyC_thickness = 40e-6
SiC_thickness = 35e-6
OPyC_thickness = 40e-6
kernel_mesh_density = 18
buffer_mesh_density = 14
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
block_names = 'fuel buffer IPyC SiC OPyC'
include_gap = false
kernel_bias = 0.8
buffer_bias = 1.25
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Functions]
[temp_bc_file]
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
[]
[temp_bc_safety]
type = ParsedFunction
symbol_names = 'test_temperature'
symbol_values = '1873.15'
expression = 'start := 55209600+1800;
ramp1 := 120.0/3600.0;
ramp2 := 120.0/3600.0;
ramp3 := 50.0/3600.0;
ramp4 := -600.0/3600.0;
room := 303.15;
plateau1 := 673.15;
plateau2 := 1523.15;
hold1 := 7200;
hold2 := 43200;
hold3 := 1080000;
ramp_time1 := (plateau1-room)/ramp1;
ramp_time2 := (plateau2-plateau1)/ramp2;
ramp_time3 := (test_temperature-plateau2)/ramp3;
ramp_time4 := (room-test_temperature)/ramp4;
t1 := start+ramp_time1;
t2 := t1+hold1;
t3 := t2+ramp_time2;
t4 := t3+hold2;
t5 := t4+ramp_time3;
t6 := t5+hold3;
t7 := t6+ramp_time4;
if(t<start,room,
if(t<t1,room+(t-start)*ramp1,
if(t<t2,plateau1,
if(t<t3,plateau1+(t-t2)*ramp2,
if(t<t4,plateau2,
if(t<t5,plateau2+(t-t4)*ramp3,
if(t<t6,test_temperature,
if(t<t7,test_temperature+(t-t6)*ramp4,
room))))))))'
[]
[temp_bc]
type = ParsedFunction
symbol_names = 'tbcf tbcs'
symbol_values = 'temp_bc_file temp_bc_safety'
expression = 'if(t<=55209600,tbcf,tbcs)'
[]
[power_history] # W/m^3
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 2
xy_in_file_only = false
format = columns
[]
[fast_neutron_fluence]
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 3
xy_in_file_only = false
format = columns
[]
[fission_rate_from_power]
type = LinearCombinationFunction
functions = power_history
# W/m^3 / (1.602e-13 J/MeV) / (200 MeV/fission)
w = 3.1211e10
[]
[fission_rate]
type = ParsedFunction
symbol_names = 'fr'
symbol_values = 'fission_rate_from_power'
expression = 'if(t<=55209600,fr,0)'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[]
[BCs]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[]
[NuclearMaterials]
fission_operation = 'Normal'
physics = 'Thermal'
initial_temperature = 923.15
elements_tracked = 'Ag'
elements_initial_concentration = '0.0'
element_scaling = '1e14'
use_automatic_differentiation = false
[ParticleFuel]
[UCO]
fuel_type = UCO
particle_fuel_models = 'Burnup Diffusion'
diffusion_1st_coefficients = '6.7e-9'
diffusion_1st_activation_energies = '165e3'
diffusion_2nd_coefficients = '0'
diffusion_2nd_activation_energies = '0'
block = fuel
fission_rate_function = fission_rate
fast_neutron_fluence_function = fast_neutron_fluence
initial_density = 10400.0
average_grain_radius = 10e-6
triso_geometry = particle_geometry
[]
[]
[ParticleLayers]
layers_models = 'Diffusion'
fuel_type = UCO
[SiC]
[SiC_layer]
block = SiC
diffusion_1st_coefficients = '3.6e-9'
diffusion_1st_activation_energies = '215e3'
diffusion_2nd_coefficients = '0'
diffusion_2nd_activation_energies = '0'
initial_density = 3200.0
thermal_conductivity_model = miller
[]
[]
[IPyC]
[IPyC_layer]
block = IPyC
diffusion_1st_coefficients = '5.3e-9'
diffusion_1st_activation_energies = '154e3'
initial_density = 1900.0
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[]
[OPyC]
[OPyC_layer]
block = OPyC
diffusion_1st_coefficients = '5.3e-9'
diffusion_1st_activation_energies = '154e3'
initial_density = 1900.0
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[]
[Buffer]
[Buffer_layer]
block = buffer
diffusion_1st_coefficients = '1e-8'
diffusion_1st_activation_energies = '0'
initial_density = 1050.0
[]
[]
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature'
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK' # Shall we switch to 'Newton'?
# solve_type = 'Newton'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-6
nl_abs_tol = 1e-12
nl_max_its = 50
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 55209600
num_steps = 1500
dt = 86400
dtmax = 86400
dtmin = 100
[TimeStepper]
type = FunctionDT
function = 'if(t<55209600,86400,1800)'
[]
automatic_scaling = true
compute_scaling_once = false
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
### Temperature
[temp_min]
type = NodalExtremeValue
variable = temperature
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[temp_max]
type = NodalExtremeValue
variable = temperature
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[console]
type = Console
time_step_interval = 1
[]
[exodus]
type = Exodus
file_base = COMPACT
[]
[release]
type = CSV
file_base = release_COMPACT
sort_columns = true
[]
[final_release]
type = CSV
file_base = final_release_COMPACT
sort_columns = true
execute_on = 'final'
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_A/x441_grp_A.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/fuelrodlinevaluesampler/example_problem_smeared_test.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
energy_per_fission = 3.2e-11 # J/fission
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
displacements = 'disp_x disp_y'
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = SmearedTwoPelletOneType2D.e
[]
[]
[Variables]
[temp]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
extra_vector_tags = 'ref'
add_variables = true
decomposition_method = EigenSolution
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain
fuel_relocation_eigenstrain fuel_thermal_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[clad]
block = clad
strain = FINITE
incremental = true
extra_vector_tags = 'ref'
add_variables = true
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = 'pin_geometry'
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'initial timestep_end'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = -200
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
execute_on = 'initial linear'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
initial_porosity = 0.0
temperature = temp
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = pellet_type_1
stress_free_temperature = 295
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[hotpressing]
type = UO2HotPressingCreepUpdate
block = pellet_type_1
burnup_function = burnup
initial_grain_radius = 10.0e-6
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'hotpressing'
block = pellet_type_1
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
fuel_pin_geometry = 'pin_geometry'
relocation_activation1 = 5000 #TM default value
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 1.e20
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_creep_model]
type = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 300
[]
[]
[Preconditioning]
[SMP]
type = SMP
coupled_groups = 'disp_x,disp_y'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-pc_type_asm'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-5 #8e-3
nl_max_its = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-8
start_time = -200
num_steps = 2
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
optimal_iterations = 6
iteration_window = 2
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = timestep_end
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = timestep_end
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = timestep_end
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = timestep_end
[]
[gas_volume] # gas volume
type = InternalVolume
boundary = 9
component = 1
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[_dt] # time step
type = TimestepSize
execute_on = timestep_end
[]
[nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
execute_on = timestep_end
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.02372 # rod height
execute_on = 'initial timestep_end'
[]
[]
[VectorPostprocessors]
[fuel_vonmises]
type = FuelRodLineValueSampler
variable = vonmises_stress
material = 'fuel'
fraction = 0.51
num_points = 20
orientation = 'horizontal'
fuel_pin_geometry = 'pin_geometry'
outputs = chkfile
[]
[clad_vonmises]
type = FuelRodLineValueSampler
variable = vonmises_stress
material = 'clad'
fraction = 0.51
num_points = 9
orientation = 'horizontal'
fuel_pin_geometry = 'pin_geometry'
outputs = chkfile
[]
[]
[Outputs]
exodus = true
color = false
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = 'FINAL'
[]
[]
(workshop/bison_example/Smeared.i)
# This model is a higher order, discrete 10 pellet fuel stack (pellet_type_1).
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = always
patch_size = 100 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[file]
file = smeared.e
type = FileMeshGenerator
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain
fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx
stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain
clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx
stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775
RPF = RPF
# N235 = N235
# N236 = N236
# N238 = N238
# N239 = N239
# N240 = N240
# N241 = N241
# N242 = N242
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160.0e-6
diameter = 0.0082
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[fuel_centerline_temp]
type = NodalVariableValue
variable = temp
nodeid = 616
[]
[fuel_surface_temp]
type = NodalVariableValue
variable = temp
nodeid = 587
[]
[clad_surface_temp]
type = NodalVariableValue
variable = temp
nodeid = 1440
[]
[penetration_mid]
type = NodalVariableValue
variable = penetration
nodeid = 587
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[]
[VectorPostprocessors]
[clad]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'timestep_end'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_C/x441_grp_C.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/triso/buffer_thermal_material/buffer_thermal_conductivity.i)
#Thermal Conductivity of the Buffer
# The geometry is a cube (edge length = 5 cm) made of buffer material (initial density = 1.0 g/cm$^{3}$) subject to internal heat generation.
# The thermal power density is ramped linearly from 0 to 4x10$^{5}$ W/m$^{3}$ over 10$^{4}$ seconds and then held constant.
# Heat flows from the left surface (heat flux = 0) through the right surface (Dirichlet boundary condition).
# The temperature of the right surface is ramped from 673.15 to 1673.15 K.
# The specific heat capacity of the buffer was multiplied by 10$^{-6}$ to allow analytical solving of the steady-state heat equation.
# The density is varied from 1000 to 2240 kg/m$^{3}$ using a FunctionAux auxkernel.
# The maximum temperature $T_{max}$ (K) at the left surface is obtained by solving the 1D heat equation:
# T_{max} = \frac{q \cdot l^{2}}{2 \cdot k} + T_{BC}
# Where $q$ (W/m$^{3}$) is the thermal power density, $l$ (0.05 m) is the edge length of the cube, and $T_{BC}$ (K) is the boundary condition temperature of the right surface.
#
# A sample of the analytical and BISON values for thermal conductivities and calculated temperatures is shown below.
#
# |Density (kg/m$^{3}$) | Analytical k (W/m-K) | BISON k (W/m-K) | Analytical max T (K) | BISON max T (K) |
# |---------------------|----------------------|-----------------|----------------------|-----------------|
# | 1000.117 | 0.50004 | 0.50000 | 723.24 | 723.24 |
# | 1002.106 | 0.50080 | 0.50075 | 1573.42 | 1573.50 |
# | 1701.887 | 1.01713 | 1.01705 | 1730.77 | 1730.81 |
# | 2076.226 | 2.09794 | 2.09783 | 1779.40 | 1779.42 |
# | 2240.000 | 3.80376 | 3.80374 | 1804.60 | 1804.60 |
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 3
xmin = 0.0
xmax = 0.05
ymin = 0.0
ymax = 0.05
zmin = 0.0
zmax = 0.05
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[temp]
initial_condition = 673.15
[]
[]
[AuxVariables]
[fission_rate]
block = '0'
[]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e4 1e8'
y = '0 1.25e16 1.25e16'
[]
[density_multiplier]
type = PiecewiseLinear
x = '0 5.3e6'
y = '1000 2240'
[]
[temp_func]
type = PiecewiseLinear
x = ' 0 5.3e6'
y = '673.15 1673.15'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = '0'
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
fission_rate_function = power_history
block = '0'
value = 1.0
[]
[density]
type = MaterialRealAux
variable = density
property = density
block = '0'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
execute_on = timestep_end
[]
[]
[BCs]
[temp_BC]
type = FunctionDirichletBC
variable = temp
boundary = 'right'
function = temp_func
[]
[]
[Materials]
[Buffer_thermal_conductivity]
type = BufferThermal
thermal_conductivity_scale_factor = 1.0
specific_heat_scale_factor = 1.0e-6
initial_density = 1000
[]
[Buffer_density]
type = GenericFunctionMaterial
prop_names = 'density'
prop_values = density_multiplier
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-2
nl_max_its = 150
nl_rel_tol = 1e-4
nl_abs_tol = 1e-6
start_time = 0.0
end_time = 6e6
num_steps = 100
dtmax = 2e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
dt = 5e2
time_t = '1e4 1e5'
time_dt = '5e2 1e5'
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[temp]
type = ElementAverageValue
variable = temp
execute_on = 'initial timestep_end'
[]
[thermal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[density]
type = ElementAverageValue
variable = density
execute_on = 'initial timestep_end'
[]
[total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
execute_on = timestep_end
[]
[]
[Outputs]
csv = true
exodus = false
[console]
type = Console
[]
[]
(assessment/LWR/validation/HbepR1/analysis/A364/HbepR1_A364.i)
initial_fuel_density = 10490
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 8.0e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .0052195
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.68
ny_cl = 3
clad_top_gap_height = 0.2461
clad_gap_width = 1.055e-4
elem_type = QUAD8
[]
patch_size = 100 # 1000 lowering this and setting the strategy to auto will reduce the amount of memory required to run the job.
patch_update_strategy = auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 273 #K
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.148e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseConstant
data_file = A364-power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = A364-axial-profile.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '-100 0 166323600 166327200' #
y = '0.014429 1 1 0.014429'
[]
[temp_ramp]
type = PiecewiseBilinear
data_file = A364-axial-tempprofile.csv
scale_factor = 1
axis = 1
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz creep_strain_xx
creep_strain_xy creep_strain_yy vonmises_stress creep_strain_zz'
[]
[]
# Define kernels for the various terms in the PDE system
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate # coupling to the fission_rate aux variable
extra_vector_tags = 'ref'
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.68056e13 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.68478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0052195 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0308 .9692 0 0 0 0'
RPF = RPF
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 1.1e-6
roughness_secondary = 0.35e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 # Pa
function = pressure_ramp
[]
[]
[coolant_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = temp_ramp
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 0.375e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get inital fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
initial_porosity = 0.04
temperature = temp
burnup = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.005325
clad_outer_radius = 0.006125
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 273
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 0.010439 # fuel pellet diameter in meters
diametral_gap = 105.5e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = .049 # turn off relocation
relocation_activation1 = 5000
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 273
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10490
total_densification = .0043
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[UserObjects]
[integral_burnup] # Added the computation of the average fuel rod burnup
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 166327200
dtmax = 1e6
dtmin = 0.1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
# Clad postprocessor (The rest are created with StandardLWRFuelRodOutputs)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
output_limiting_function = power_history
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/metal_fuel/x441_coarse/x441_group_A_nominal.i)
initial_fuel_density = 15800
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = 0.38e-03
pellet_outer_radius = 2.195e-03
pellet_height = 343.0e-3
clad_top_gap_height = 373.0e-3
clad_gap_width = 0.345e-3
bottom_clad_height = 7.9e-3
top_clad_height = 7.9e-3
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 3
ny_p = 40
nx_c = 2
ny_c = 40
ny_cu = 2
ny_cl = 2
pellet_quantity = 1
elem_type = QUAD4
[]
# mesh options
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = ParsedFunction
expression = 0.151e6
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = 343.0e-3
pellet_y_start = 8.1e-3
[]
[engr_radial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_rad / 2.195e-03'
symbol_values = 'max_fuel_radial_disp'
symbol_names = 'fuel_disp_rad'
[]
[engr_axial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_axial / 343.0e-3'
symbol_values = 'max_fuel_elongation'
symbol_names = 'fuel_disp_axial'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain
solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_strain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_zz
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductance = 176811.6
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = 2.195e-03
X_Zr = 0.225
X_Pu_function = 0.163
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.225
initial_X_Pu = 0.163
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.225
X_Pu = 0.163
block = pellet
temperature = temp
[]
[fuel_inlastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-2
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 5e17
interconnection_initiating_porosity = 0.29
interconnection_terminating_porosity = 0.31
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = 0.225
X_Pu = 0.163
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
critical_porosity = 0.30
fractional_fgr_initial = 0.4
fractional_fgr_post = 0.8
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-5
nl_abs_tol = 1e-7
end_time = 1e7
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 6
optimal_iterations = 20
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = -1.53703e-6
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = creep_strain_zz
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_radial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_xx
[]
[max_fuel_axial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_yy
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_fuel_radial_disp]
type = NodalExtremeValue
variable = disp_x
boundary = 'all_pellet_exterior'
[]
[engr_strain_fuel_radial]
type = FunctionValuePostprocessor
function = engr_radial_strain_fuel
[]
[engr_strain_fuel_axial]
type = FunctionValuePostprocessor
function = engr_axial_strain_fuel
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
time_step_interval = 1
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_group_A_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/TSQ002.i)
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = tsq002_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[grain_radius]
block = pellet_type_1
initial_condition = 8.7945e-6 # ((11.6+11.2+11.2+11.1)/4)/2*1.56
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 141798626 141802226' # -100 @ 101326 Pa, 0 to 141798626 @ 15.517 MPa, 141802226 @ 101326 Pa
y = '.00653 1 1 .00653'
[]
[flux]
type = PiecewiseLinear
data_file = TSQ002_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = TSQ002_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
type = PiecewiseBilinear
data_file = TSQ002_clad_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = false
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
a_lower = 0.00324
a_upper = 3.81705
fuel_outer_radius = 0.0041275
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
penalty = 1e9
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10
initial_moles = initial_moles
primary = 5
gas_released = fission_gas_released
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.517e6
function = pressure_ramp
displacements = 'disp_x disp_y'
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.008255
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =0.0001778 #diameteral gap
relocation_activation1 = 5000
burnup_relocation_stop = 0.024
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
initial_porosity = 0.05
burnup = burnup
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 20.0
variable = temp
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-4
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81381 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
nodeid = 30330 #coords (0.0, 2.10133)
variable = temp
execute_on = 'initial timestep_end'
[]
[FCT_slice4]
type = NodalVariableValue
nodeid = 37085 #coords (0.0, 1.71896)
variable = temp
execute_on = 'initial timestep_end'
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = pellet_type_1
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[gap_slice6]
type = NodalVariableValue
variable = penetration
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[gap_slice4]
type = NodalVariableValue
variable = penetration
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[contact_pressure_slice6]
type = NodalVariableValue
variable = contact_pressure
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[contact_pressure_slice4]
type = NodalVariableValue
variable = contact_pressure
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet_type_1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(examples/TRISO/full_particle/2D/full_particle.i)
initial_fuel_density = 10810.0
[GlobalParams]
density = ${initial_fuel_density}
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = full_particle.e
[]
[]
[Variables]
[temperature]
initial_condition = 1346.0
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
[]
[burnup]
block = fuel
[]
[grain_radius]
initial_condition = 5.0e-6
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[buffer]
block = buffer
add_variables = true
strain = FINITE
eigenstrain_names = 'buffer_thermal_strain buffer_eigenstrain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[IPyC]
block = IPyC
add_variables = true
strain = FINITE
eigenstrain_names = 'IPyC_eigenstrain IPyC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[SiC]
block = SiC
add_variables = true
strain = FINITE
eigenstrain_names = 'SiC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[OPyC]
block = OPyC
add_variables = true
strain = FINITE
eigenstrain_names = 'OPyC_eigenstrain OPyC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[]
[Functions]
[fast_neutron_flux]
type = ParsedFunction
expression = 1.708707e18
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
penalty = 1e5
model = frictionless
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 15
secondary = 17
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = yzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[exterior_pressure_y]
type = Pressure
variable = disp_y
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = 'PyCGapBndry BufferGapBndry'
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18 # n/m^2-sec
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temperature
thermal_conductivity_model = FINK_LUCUTA
initial_porosity = 0.0
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e8
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius = grain_radius
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2.0e8
poissons_ratio = 0.345
[]
[buffer_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = buffer
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_density]
type = StrainAdjustedDensity
strain_free_density = 1000.0
block = buffer
[]
[buffer_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.5e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = buffer_thermal_strain
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[buffer_irraditation]
type = PyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = buffer_eigenstrain
[]
[IPyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[IOPyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
temperature = temperature
[]
[IOPyC_temperature]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IOPyC_density]
type = StrainAdjustedDensity
block = 'IPyC OPyC'
strain_free_density = 1880.0
[]
[IPyC_densification]
type = PyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = IPyC_eigenstrain
[]
[IPyC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.5e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = IPyC_thermal_strain
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = SiC_thermal_strain
[]
[OPyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[OPyC_densification]
type = PyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = OPyC_eigenstrain
[]
[OPyC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.5e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = OPyC_thermal_strain
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 20
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 3.10176e7
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 10
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[max_xx_IPyC]
type = ElementExtremeValue
variable = stress_xx
block = IPyC
[]
[max_yy_IPyC]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
[]
[min_zz_IPyC]
type = ElementExtremeValue
variable = stress_zz
block = IPyC
value_type = min
[]
[max_xx_SiC]
type = ElementExtremeValue
variable = stress_xx
block = SiC
[]
[max_yy_SiC]
type = ElementExtremeValue
variable = stress_yy
block = SiC
[]
[min_zz_SiC]
type = ElementExtremeValue
variable = stress_zz
block = SiC
value_type = min
[]
[max_xx_OPyC]
type = ElementExtremeValue
variable = stress_xx
block = OPyC
[]
[max_yy_OPyC]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
[]
[min_zz_OPyC]
type = ElementExtremeValue
variable = stress_zz
block = OPyC
value_type = min
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'initial linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = 'initial linear'
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial TIMESTEP_END'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial TIMESTEP_END'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
addition = -5.53e-11
execute_on = 'initial TIMESTEP_END'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial TIMESTEP_END'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temperature
execute_on = 'INITIAL TIMESTEP_END'
[]
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'INITIAL TIMESTEP_END'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'INITIAL TIMESTEP_END'
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
execute_on = 'INITIAL TIMESTEP_END'
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
execute_on = 'INITIAL TIMESTEP_END'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
execute_on = Final
show = 'max_xx_IPyC max_yy_IPyC min_zz_IPyC max_xx_SiC max_yy_SiC min_zz_SiC co_production fis_gas_released avg_surface_temperature'
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/x441_base.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress effective_creep_strain volumetric_strain'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain
solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress effective_creep_strain hoop_creep_strain
hoop_elastic_strain hoop_strain'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/TRISO/pebble/3D_pebble.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
flux_conversion_factor = 0.85
energy_per_fission = 3.204e-11 #[J/fission]
[]
[Mesh]
[file]
type = FileMeshGenerator
file = pebble.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Distributions]
[normal_kernel_r]
type = TruncatedNormal
mean = 213.35e-6
standard_deviation = 4.4e-6
lower_bound = 1.9575e-04
upper_bound = 2.3095e-04
[]
[normal_buffer_t]
type = TruncatedNormal
mean = 98.9e-6
standard_deviation = 8.4e-6
lower_bound = 6.53e-05
upper_bound = 1.325e-04
[]
[normal_ipyc_t]
type = TruncatedNormal
mean = 40.4e-6
standard_deviation = 2.5e-6
lower_bound = 3.0400e-05
upper_bound = 5.0400e-05
[]
[normal_sic_t]
type = TruncatedNormal
mean = 35.2e-6
standard_deviation = 1.2e-6
lower_bound = 3.0400e-05
upper_bound = 4.0000e-05
[]
[normal_opyc_t]
type = TruncatedNormal
mean = 43.4e-6
standard_deviation = 2.9e-6
lower_bound = 3.1800e-05
upper_bound = 5.5000e-05
[]
[]
[Samplers]
[sample]
type = MonteCarlo
num_rows = 100
distributions = 'normal_kernel_r normal_buffer_t normal_ipyc_t normal_sic_t normal_opyc_t'
execute_on = 'PRE_MULTIAPP_SETUP'
[]
[]
[MultiApps]
[sub]
type = SamplerTransientMultiApp
input_files = triso_1d.i
sampler = sample
execute_on = 'TIMESTEP_BEGIN'
mode = normal
[]
[]
[DiracKernels]
[heat_source]
type = TRISOMonteCarloPointSource
variable = temperature
point_source_values = release_heat_inc
value_name = release_heat_inc:release_heat_inc
point_source_location = point_source_location
[]
[Cs_source]
type = TRISOMonteCarloPointSource
variable = conc_Cs
point_source_values = release_Cs_inc
value_name = release_Cs_inc:release_Cs_inc
point_source_location = point_source_location
[]
[]
[UserObjects]
[point_source_location]
type = TRISOMonteCarloPointSourceLocation
min_radius = 0.0138
max_radius = 0.018
geometry = SPHERE
sampler = sample
fuel_element_blocks = 2
particle_space = 0.0002
execute_on = 'INITIAL'
[]
[]
[Transfers]
[release_heat_inc]
type = SamplerPostprocessorTransfer
from_multi_app = sub
sampler = sample
to_vector_postprocessor = release_heat_inc
from_postprocessor = release_heat_inc
[]
[release_Cs_inc]
type = SamplerPostprocessorTransfer
from_multi_app = sub
sampler = sample
to_vector_postprocessor = release_Cs_inc
from_postprocessor = release_Cs_inc
[]
[sub_temp_bc]
type = SamplerPostprocessorTransfer
from_multi_app = sub
sampler = sample
to_vector_postprocessor = temp_bc
from_postprocessor = aver_temp_exterior
[]
[temp_bc]
type = MultiAppVectorPostprocessorTransfer
to_multi_app = sub
vector_postprocessor = sample_points
postprocessor = temp_bc
vector_name = temperature
[]
[]
[Controls]
[cmdline]
type = MultiAppSamplerControl
multi_app = sub
sampler = sample
param_names = 'kernel_radius buffer_thickness IPyC_thickness SiC_thickness OPyC_thickness'
[]
[]
[VectorPostprocessors]
[sample_points]
type = TRISOMonteCarloPointValueSampler
variable = temperature
execute_on = 'INITIAL TIMESTEP_BEGIN'
point_source_location = point_source_location
[]
[release_heat_inc]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[release_Cs_inc]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[heat_source_output]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = release_heat_inc
value_name = release_heat_inc:release_heat_inc
point_source_location = point_source_location
[]
[Cs_source_output]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = release_Cs_inc
value_name = release_Cs_inc:release_Cs_inc
point_source_location = point_source_location
[]
[temp_bc]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[temp_bc_output]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = temp_bc
value_name = sub_temp_bc:aver_temp_exterior
point_source_location = point_source_location
[]
[]
[Variables]
[temperature]
initial_condition = 773.15
[]
[conc_Cs]
[]
[]
[AuxVariables]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e3 4.51008e7' #change time (s) for desired EFPD
y = '0 1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 2.927e18
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[density]
type = MaterialRealAux
variable = density
property = density
block = '1 2 3'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = '1 2 3'
execute_on = timestep_end
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
block = '1 2 3'
execute_on = timestep_end
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[]
[BCs]
[coolant_temp]
type = DirichletBC
variable = temperature
boundary = exterior
value = 773.15
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.109e18
[]
##### fuel region propereties
[fueled_region_thermal]
type = GraphiteMatrixThermal
block = 2
graphite_grade = A3_27_1800
packing_fraction = 0.22
temperature = temperature
initial_matrix_density = 1750.0
[]
[fueled_region_density]
type = ParsedMaterial
block = 2
property_name = density
expression = 1750.0
[]
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = 2
d1 = 1e-8 # m^2/s
q1 = 0.0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
##### Shell properties
[shell_region_thermal]
type = GraphiteMatrixThermal
block = 3
graphite_grade = A3_27_1800
packing_fraction = 0.0
temperature = temperature
initial_matrix_density = 1750.0
[]
[shell_region_density]
type = ParsedMaterial
block = 3
property_name = density
expression = 1750.0
[]
[shell_conc_Cs]
type = ArrheniusDiffusionCoef
block = 3
d1 = 1e-8 # m^2/s
q1 = 0.0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
##### pebble core
[core_region_thermal]
type = GraphiteMatrixThermal
block = 1
graphite_grade = A3_27_1800
packing_fraction = 0.0
temperature = temperature
initial_matrix_density = 1400.0
[]
[core_region_density]
type = ParsedMaterial
block = 1
property_name = density
expression = 1400.0
[]
[core_conc_Cs]
type = ArrheniusDiffusionCoef
block = 1
d1 = 1e-8 # m^2/s
q1 = 0.0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature'
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-9
nl_abs_tol = 1e-9
nl_max_its = 15
l_tol = 1e-5
l_max_its = 30
start_time = 0.0
dt = 500000
num_steps = 10
[]
[Postprocessors]
### irradiation conditions
[pebble_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = 2
execute_on = 'initial timestep_end'
[]
[heat_from_pebble]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = exterior
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[fast_neutron_maximum_fluence_MP]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = '1 2 3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[fast_neutron_maximum_flux_MP]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_flux
block = '1 2 3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[fission_rate_maximum]
type = ElementExtremeMaterialProperty
mat_prop = fission_rate
block = '1 2 3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### temperatures
[fuel_minimum_temperature]
type = NodalExtremeValue
variable = temperature
block = '2'
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[fuel_average_temperature]
type = AverageNodalVariableValue
variable = temperature
block = '2'
execute_on = 'initial timestep_end'
[]
[fuel_maximum_temperature]
type = NodalExtremeValue
variable = temperature
block = '2'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[shell_minimum_temperature]
type = NodalExtremeValue
variable = temperature
block = '3'
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[shell_average_temperature]
type = AverageNodalVariableValue
variable = temperature
block = '3'
execute_on = 'initial timestep_end'
[]
[shell_maximum_temperature]
type = NodalExtremeValue
variable = temperature
block = '3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[core_minimum_temperature]
type = NodalExtremeValue
variable = temperature
block = '1'
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[core_average_temperature]
type = AverageNodalVariableValue
variable = temperature
block = '1'
execute_on = 'initial timestep_end'
[]
[core_maximum_temperature]
type = NodalExtremeValue
variable = temperature
block = '1'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_H/x441_grp_H.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_1/vitanza.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.20435313e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = 27_1_mesh.e
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 7.5e-6
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '-100 0 100 1e8'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[q]
type = CompositeFunction
functions = 'power_profile axial_peaking_factors'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.01496
a_lower = 0.00226
fuel_inner_radius = 0.0
fuel_outer_radius = 0.005305
fuel_volume_ratio = 1
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = 3
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[]
[BCs]
[fuel_wall_temp]
type = DirichletBC
variable = temp
boundary = '10'
value = 673
preset = false
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.05
[]
[fuel_density]
type = ParsedMaterial
block = 3
property_name = density
expression = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
end_time = 2e8
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 6
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 3
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = 3
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_generated]
type = ElementIntegralFisGasGeneratedSifgrs
block = '3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = '3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
block = 3
execute_on = linear
burnup_function = burnup
type = ElementIntegralPower
variable = temp
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.0127
[]
[ave_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[fuel_center_temperature]
type = NodalVariableValue
nodeid = 174 # Paraview GlobalNodeID 175 at (0.0, 0.00862374)
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = false
color = false
print_linear_residuals = true
[csv]
type = CSV
execute_on = final
[]
[chkfile]
type = CSV
show = 'burnup fis_gas_percent fuel_center_temperature rod_total_power pellet_volume'
execute_on = final
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'fis_gas_percent >= 0.01'
[]
[]
(assessment/LWR/validation/Tribulation/analysis/BN3X15/BN3X15.i)
initial_fuel_density = 10414
[GlobalParams]
density = ${initial_fuel_density} # 94.843 % TD assuming TS 10980
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
initial_porosity = 0.05157
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9956
pellet_outer_radius = 0.00402
pellet_mesh_density = customize
nx_p = 11
ny_p = 243
clad_bot_gap_height = 0.001
clad_gap_width = 100.0e-6
clad_thickness = 0.00063
clad_mesh_density = customize
nx_c = 4
ny_c = 249
bottom_clad_height = 0.00224
top_clad_height = 0.00224
clad_top_gap_height = 0.0952
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = 3
initial_condition = 8.39e-6 # 2D grain radius 10.76e-6/2*1.56
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseBilinear
data_file = BN3X15_power.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 50807520 50893920 50980320 85442688 85529088 85615488 121321152 121407552'
y = '0.0073804 1 1 0.0073804 1 1 0.0073804 1 1 0.0073804'
[]
[flux]
type = PiecewiseBilinear
data_file = BN3X15_fast_flux.csv
axis = 1
[]
[clad_temp_bc]
type = PiecewiseBilinear
data_file = BN3X15_clad_temp.csv
axis = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[timestep_function]
type = PiecewiseLinear
data_file = BN3X15_time_function.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = 3
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0576 0.9424 0 0 0 0'
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 0.3e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 13.729e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 980665
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.017
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10414
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = NO_TRANSIENT
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 121407552
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 20
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = timestep_function
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[fuel_max_temp]
type = ElementExtremeValue
block = 3
variable = temp
[]
[fuel_average_temp]
type = ElementAverageValue
block = 3
variable = temp
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage fuel_average_temp'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK4/FK04.i)
# This file was created using BIF with the following inputs:
# FK04/FK04.var - md5sum: 789d603cfbdaaeb2625ea98056214f6f
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10310.8809782
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.053182
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
block = '1 3'
initial_condition = 293
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.0592261881186
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 0.955 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.5e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10310.8809782
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.0592261881186
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.20e26
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.20e26
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 1.20e26
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim_DiffCoeff4_GrainGrowth.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.2
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9144
pellet_outer_radius = 2.794e-3
pellet_inner_radius = 6.985e-4
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 101.6e-6
clad_thickness = 0.5334e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.057
elem_type = QUAD8
nx_c = 4
ny_c = 1000
nx_p = 10
ny_p = 500
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fraction_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 0.854004932 0.854004932'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 2.99513e+19 2.99513e+19'
[]
[axial_power_profile]
type = PiecewiseBilinear
x = '0.0334152 0.09468 0.1559448 0.2162952 0.27756 0.3388248 0.3991752 0.46044 0.5217048 0.5820552 0.64332 0.7045848 0.7649352 0.8262 0.8874648'
y = '0 31858942.74'
z = '5493.43832 7183.727034 29157.48031 34228.34646 37608.92388 40144.35696 41412.07349 42257.21785 41834.64567 39721.78478 37608.92388 33805.77428 28312.33596 4225.721785 2535.433071 5041.338583 6592.519685 26757.87402 31411.41732 34513.77953 36840.55118 38003.93701 38779.52756 38391.73228 36452.75591 34513.77953 31023.62205 25982.28346 3877.952756 2326.771654'
scale_factor = 1
axis = 1
[]
[average_power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24264.05646 24264.05646'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.2
axial_power_profile = axial_power_profile
rod_ave_lin_pow = fraction_history
pellet_diameter = 0.005588
execute_on = timestep_begin
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 0.151e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 0.151e6
inlet_massflux = 1687.43
rod_diameter = 6.858e-3
rod_pitch = 1.7e-2
linear_heat_rate = fraction_history
axial_power_profile = axial_power_profile
coolant_material = sodium
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = 0.2
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
bubble_gb_limit = 1.0e+11
diff_coeff_option = TURNBULL_D1_4D2_4D3
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fast_neutron_flux]
type = GenericFunctionMaterial
block = clad
prop_names = fast_neutron_flux
prop_values = fast_neutron_flux_function
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = fraction_history
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.9144 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = fftf_fo2_L09_new_DiffCoeff4_GrainGrowth_chkfile
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/HBEP/analysis/BK363/HBEP_BK363_action.i)
[GlobalParams]
density = 10233 #93.2% of TD (TD assumed to be 10980)
initial_porosity = 0.068
initial_grain_radius = 10.53e-6
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
temperature = temperature
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = HBEP.e
[]
[]
[AuxVariables]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = BK363_linear_power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BK363_power_peaking_factors.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 137115360 137118960'
y = '0.007382 1 1 0.007382'
[]
[flux]
type = PiecewiseLinear
data_file = BK363_fast_flux.csv
format = columns
[]
[clad_wall_temperature]
type = PiecewiseLinear
data_file = BK363_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
type = PiecewiseBilinear
data_file = BK363_clad_temp_peaking_factors.csv
axis = 1
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temperature axial_clad_peaking'
[]
[]
[AuxKernels]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10
initial_moles = initial_moles
primary = 5
gas_released = fission_gas_released
variable = temperature
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = .955e-6
roughness_primary = 1.5e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 13.73e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.40e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[NuclearMaterials]
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
fission_operation = HighBurnup
physics = 'Mechanics Thermal'
initial_temperature = 300
stress_free_temperature = 300
strain = FINITE
[UO2]
[fuel]
block = pellet_type_1
uo2_models = 'Burnup Elastic Relocation Swelling ThermalExpansion'
isotopes = 'U238 U235'
isotope_fractions = '0.9293 0.0707'
burnup_relocation_stop = 0.035
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
additional_generate_output = hydrostatic_stress
fuel_volume_ratio = 1.0
# The mesh is not a right cyclinder due to
# chamfering and dishing, following the
# established HBEP_BK363.i results, this
# is kept as fuel_volume_ratio=1 to match
# test results
extra_vector_tags = 'ref'
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
cladding_models = 'Elastic Creep IrradiationGrowth ThermalExpansion'
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_xy hoop_creep_strain'
flux_function = flux
extra_vector_tags = 'ref'
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temperature
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 50
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 137118960
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 2e6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block =pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.017
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = 4784
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10
value_type = min
variable = penetration
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/Tribulation/analysis/BN1X4/BN1X4.i)
initial_fuel_density = 10373
[GlobalParams]
density = ${initial_fuel_density} # 94.747 % TD assuming TS 10980
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
initial_porosity = 0.05526
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9976
pellet_outer_radius = 0.00402
pellet_mesh_density = customize
nx_p = 11
ny_p = 243
clad_bot_gap_height = 0.001
clad_gap_width = 100.0e-6
clad_thickness = 0.00063
clad_mesh_density = customize
nx_c = 4
ny_c = 249
bottom_clad_height = 0.00224
top_clad_height = 0.00224
clad_top_gap_height = 0.0934
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = 3
initial_condition = 8.58e-6 # 2D grain radius 11e-6/2*1.56
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseBilinear
data_file = BN1X4_power.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 34462368 34548768 34635168 90055584 90141984'
y = '0.0073804 1 1 0.0073804 1 1 0.0073804'
[]
[flux]
type = PiecewiseBilinear
data_file = BN1X4_fast_flux.csv
axis = 1
[]
[clad_temp_bc]
type = PiecewiseBilinear
data_file = BN1X4_clad_temp.csv
axis = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[timestep_function]
type = PiecewiseLinear
data_file = BN1X4_time_function.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = 3
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0825 0.9175 0 0 0 0'
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 0.3e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 13.729e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.96133e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.025
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10373
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = NO_TRANSIENT
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 90141984
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 20
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = timestep_function
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[fuel_max_temp]
type = ElementExtremeValue
block = 3
variable = temp
[]
[fuel_average_temp]
type = ElementAverageValue
block = 3
variable = temp
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage fuel_average_temp'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
(examples/TRISO/parfume/parfume_un.i)
# UN TRISO particle using several PARFUME models
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.1955 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 923.15 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.5 # Initial Oxygen to Uranium atom ratio
C_U = 0.4 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.125e-4 3.125e-4 3.125e-4 3.525e-4 3.875e-4 4.275e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
[]
[]
[Variables]
[temperature]
initial_condition = 923.15
[]
[conc]
initial_condition = 0.0
scaling = 1e18
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[gap_condSlave]
order = CONSTANT
family = MONOMIAL
[]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[swelling]
order = CONSTANT
family = MONOMIAL
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_IIDC_strain]
order = CONSTANT
family = MONOMIAL
[]
[radial_IIDC_strain]
order = CONSTANT
family = MONOMIAL
[]
[tangential_IIDC_strain]
order = CONSTANT
family = MONOMIAL
[]
[BAF]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[gap_HTC]
order = CONSTANT
family = MONOMIAL
[]
[gap_distance]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 3.89e19
[]
[temp_bc]
type = PiecewiseLinear
# A final temperature ramp is not possible with the UNThermal model since
# its range of applicability ends at 1800 K
# To use the model beyond its limit but get a warning, add
# value_range_behavior = WARN in the GlobalParams block.
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'UN_swelling_eigenstrain UN_thermal_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'buffer_IIDC_strain buffer_thermal_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'IPyC_IIDC_strain IPyC_thermal_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'OPyC_IIDC_strain OPyC_thermal_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = TimeDerivative
variable = conc
extra_vector_tags = 'ref'
[]
[mass]
type = ArrheniusDiffusion
variable = conc
extra_vector_tags = 'ref'
[]
[mass_source]
type = BodyForce
variable = conc
function = power_history
value = 1.22e-5 # units of mol/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[conductanceSlave]
type = MaterialRealAux
property = gap_conductance
variable = gap_condSlave
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
[]
[density]
type = MaterialRealAux
variable = density
property = density
block = 'fuel buffer IPyC SiC OPyC'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[swelling]
type = MaterialRealAux
variable = swelling
property = swelling
block = fuel
execute_on = linear
[]
[volumetric_IIDC_strain]
type = MaterialRealAux
variable = volumetric_IIDC_strain
property = volumetric_IIDC_strain
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[radial_IIDC_strain]
type = MaterialRealAux
variable = radial_IIDC_strain
property = radial_IIDC_strain
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[tangential_IIDC_strain]
type = MaterialRealAux
variable = tangential_IIDC_strain
property = tangential_IIDC_strain
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[BAF]
type = MaterialRealAux
variable = BAF
property = BAF
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[fis_gas_produced]
type = MaterialRealAux
variable = fis_gas_produced
property = fis_gas_produced
block = fuel
execute_on = linear
[]
[fis_gas_released]
type = MaterialRealAux
variable = fis_gas_released
property = fis_gas_released
block = fuel
execute_on = linear
[]
[gap_HTC]
type = MaterialRealAux
property = gap_conductance
variable = gap_HTC
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
[]
[gap_distance]
type = PenetrationAux
variable = gap_distance
boundary = buffer_outer_boundary
paired_boundary = IPyC_inner_boundary
quantity = distance
tangential_tolerance = 1e-6
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
initial_gas_types = 'Kr Xe'
initial_fractions = '0.185 0.815'
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[cesium_contact]
type = GapHeatTransfer
variable = conc
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC
variable = conc
boundary = exterior
value = 0.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 100.0
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 5e17
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
### UN properties
[UN_burnup]
type = TRISOBurnup
initial_density = 13760.0
kernel_type = UN
[]
[UN_thermal]
type = MNThermal
block = fuel
temperature = temperature
formulation = COLLIN_BAUER
[]
[UN_elasticity_tensor]
type = UNElasticityTensor
block = fuel
temperature = temperature
[]
[UN_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UN_VolumetricSwellingEigenstrain]
type = BurnupDependentEigenstrain
block = fuel
swelling_name = swelling
eigenstrain_name = UN_swelling_eigenstrain
swelling_factor = 0.8
[]
[UN_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6 # check this value for UN
eigenstrain_name = UN_thermal_strain
temperature = temperature
[]
[UN_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 13760.0
[]
[fission_gas_release]
type = UNFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
[fuel_conc]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
temperature = temperature
[]
### Buffer Properties
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_thermal_strain]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = buffer_thermal_strain
temperature = temperature
[]
[buffer_IIDC_strain]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = buffer_IIDC_strain
temperature = temperature
[]
[buffer_conc]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
### IPyC properties
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
initial_BAF = 1.045
poissons_ratio = 0.23
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1900.0
[]
[IPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.045
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.045
block = OPyC
[]
[IPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_thermal_strain
temperature = temperature
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
### SiC properties
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = GenericConstantMaterial
block = SiC
prop_names = 'density'
prop_values = 3200.0
[]
[SiC_thermal_strain]
type = MonolithicSiCThermalExpansionEigenstrain
block = SiC
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[SiC_conc]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fast_neutron_fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
temperature = temperature
[]
### OPyC properties
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.045
poissons_ratio = 0.23
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900.0
[]
[OPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
[]
[OPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_thermal_strain
temperature = temperature
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-6
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'disp_x temperature conc'
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-7
nl_max_its = 15
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 84.641e6 #85.3682e6
num_steps = 1000
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
growth_factor = 1.5
optimal_iterations = 8 #6
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
[cs_release]
type = SideIntegralMassFlux
variable = conc
boundary = exterior
[]
[int_cs_release]
type = TimeIntegratedPostprocessor
value = cs_release
[]
[cs_release_fuel]
type = SideIntegralMassFlux
variable = conc
boundary = fuel_outer_boundary
[]
[int_cs_release_fuel]
type = TimeIntegratedPostprocessor
value = cs_release_fuel
[]
[cs_release_PyCGapBndry]
type = SideIntegralMassFlux
variable = conc
boundary = IPyC_inner_boundary
[]
[int_cs_release_PyCGapBndry]
type = TimeIntegratedPostprocessor
value = cs_release_PyCGapBndry
[]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[ave_gap_temp]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = 14330
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
scale_factor = -1
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
execute_on = 'initial timestep_end'
scale_factor = -1
[]
[volumeGas]
type = InternalVolume
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
scale_factor = -1
addition = 4.67e-11
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_outer_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[gap_HTC]
type = ElementExtremeValue
variable = gap_HTC
block = buffer
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
outputs = exodus
execute_on = 'initial timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
outputs = exodus
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### II strain
[OPyC_radial_IIDC_strain]
type = ElementExtremeValue
variable = radial_IIDC_strain
block = OPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[OPyC_tangential_IIDC_strain]
type = ElementExtremeValue
variable = tangential_IIDC_strain
block = OPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[IPyC_radial_IIDC_strain]
type = ElementExtremeValue
variable = radial_IIDC_strain
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[IPyC_tangential_IIDC_strain]
type = ElementExtremeValue
variable = tangential_IIDC_strain
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### temperatures
[max_T_kernel]
type = NodalExtremeValue
variable = temperature
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_T_buffer]
type = NodalExtremeValue
variable = temperature
block = buffer
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[min_T_buffer]
type = NodalExtremeValue
variable = temperature
block = buffer
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[max_T_IPyC]
type = NodalExtremeValue
variable = temperature
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_T_SiC]
type = NodalExtremeValue
variable = temperature
block = SiC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### displacement BCs
[max_disp_kernel]
type = NodalExtremeValue
variable = disp_x
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[min_disp_buffer]
type = NodalExtremeValue
variable = disp_x
block = buffer
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[max_disp_IPyC]
type = NodalExtremeValue
variable = disp_x
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### hoop stresses
[hoop_opyc_max]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
execute_on = 'initial timestep_end'
[]
[hoop_sic_max]
type = ElementExtremeValue
variable = stress_yy
block = SiC
execute_on = 'initial timestep_end'
[]
[hoop_ipyc_max]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
execute_on = 'initial timestep_end'
[]
[hoop_buffer_max]
type = ElementExtremeValue
variable = stress_yy
block = buffer
execute_on = 'initial timestep_end'
[]
[hoop_opyc_min]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
value_type = min
execute_on = 'initial timestep_end'
[]
[hoop_sic_min]
type = ElementExtremeValue
variable = stress_yy
block = SiC
value_type = min
execute_on = 'initial timestep_end'
[]
[hoop_ipyc_min]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
value_type = min
execute_on = 'initial timestep_end'
[]
[hoop_buffer_min]
type = ElementExtremeValue
variable = stress_yy
block = buffer
value_type = min
execute_on = 'initial timestep_end'
[]
### Check warning for Density
[oPyC_density]
type = ElementExtremeValue
variable = density
block = OPyC
execute_on = 'initial timestep_end'
[]
[sic_density]
type = ElementExtremeValue
variable = density
block = SiC
execute_on = 'initial timestep_end'
[]
[IPyC_density]
type = ElementExtremeValue
variable = density
block = IPyC
execute_on = 'initial timestep_end'
[]
[buffer_density]
type = ElementExtremeValue
variable = density
block = buffer
execute_on = 'initial timestep_end'
[]
[kernel_density]
type = ElementExtremeValue
variable = density
block = fuel
execute_on = 'initial timestep_end'
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(examples/NuclearMaterialActions/LWR/Normal/2D_discrete_finiteStrain_nuc_mat_action_integrated/2D_discrete_finiteStrain_nuc_mat_action_integrated.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
[GlobalParams]
# Set initial fuel density, other global parameters
density = 10431.0
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
temperature = temperature
grain_radius = grain_radius
order = FIRST #Mesh element dictate this
family = LAGRANGE
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = '../../../../2D-RZ_rodlet_10pellets/fine10_rz.e'
[]
[]
[AuxVariables]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = '../../../../2D-RZ_rodlet_10pellets/powerhistory.csv'
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = '../../../../2D-RZ_rodlet_10pellets/peakingfactors.csv'
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[]
[AuxKernels]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temperature_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[NuclearMaterials]
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
fission_operation = Normal
physics = 'Mechanics Thermal'
initial_temperature = 580.0
strain = FINITE
[UO2]
[fuel]
block = pellet_type_1
uo2_models = 'Burnup Elastic Relocation Swelling ThermalExpansion'
stress_free_temperature = 295.0
fuel_volume_ratio = 0.987787
burnup_relocation_stop = 0.03
isotopes = 'U235 U238'
isotope_fractions = '0.05 0.95'
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
extra_vector_tags = 'ref'
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
cladding_models = 'Elastic Creep IrradiationGrowth ThermalExpansion'
stress_free_temperature = 295.0
extra_vector_tags = 'ref'
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = THIRD
side_order = FIFTH
[]
[]
[Postprocessors]
[ave_temperature_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temperature]
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temperature]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[mid_penetration]
type = NodalVariableValue
nodeid = 3781 #!!Mesh dependent!!
variable = penetration
[]
[central_fuel_temperature]
type = NodalVariableValue
variable = temperature
nodeid = 3781 # !! Mesh dependent
[]
[max_fuel_temperature]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_old_bubble_gb_lim.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.2
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9144
pellet_outer_radius = 2.794e-3
pellet_inner_radius = 6.985e-4
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 101.6e-6
clad_thickness = 0.5334e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.057
elem_type = QUAD8
nx_c = 4
ny_c = 1000
nx_p = 10
ny_p = 500
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fraction_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 0.854004932 0.854004932'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 2.99513e+19 2.99513e+19'
[]
[axial_power_profile]
type = PiecewiseBilinear
x = '0.0334152 0.09468 0.1559448 0.2162952 0.27756 0.3388248 0.3991752 0.46044 0.5217048 0.5820552 0.64332 0.7045848 0.7649352 0.8262 0.8874648'
y = '0 31858942.74'
z = '5493.43832 7183.727034 29157.48031 34228.34646 37608.92388 40144.35696 41412.07349 42257.21785 41834.64567 39721.78478 37608.92388 33805.77428 28312.33596 4225.721785 2535.433071 5041.338583 6592.519685 26757.87402 31411.41732 34513.77953 36840.55118 38003.93701 38779.52756 38391.73228 36452.75591 34513.77953 31023.62205 25982.28346 3877.952756 2326.771654'
scale_factor = 1
axis = 1
[]
[average_power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24264.05646 24264.05646'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.2
axial_power_profile = axial_power_profile
rod_ave_lin_pow = fraction_history
pellet_diameter = 0.005588
execute_on = timestep_begin
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 0.151e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 0.151e6
inlet_massflux = 1687.43
rod_diameter = 6.858e-3
rod_pitch = 1.7e-2
linear_heat_rate = fraction_history
axial_power_profile = axial_power_profile
coolant_material = sodium
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = 0.2
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fast_neutron_flux]
type = GenericFunctionMaterial
block = clad
prop_names = fast_neutron_flux
prop_values = fast_neutron_flux_function
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = fraction_history
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.9144 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = fftf_fo2_L09_old_chkfile
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_191_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.021861442
pellet_height = 0.265388558
pellet_quantity = 1
clad_bot_gap_height = 0.01275
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
# [terminator]
# type = Terminator
# expression = 'burst > 0'
# []
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
rod_ave_lin_pow = power_history
temperature = temperature
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
# n_startup_steps = 1
end_time = 166843509.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_10/case_10_1D.i)
#
# This case is taken from Advances in high temperature gas cooled reactor fuel
# technology. Technical Report IAEA-TECDOC-1674, International Atomic Energy
# Agency, 2012.
#
# See also Hales, et al., Multidimensional multiphysics simulation of TRISO
# particle fuel, JNM, 443, 2013. https://doi.org/10.1016/j.jnucmat.2013.07.070
#
# The correctness of the results computed by this case must be checked against
# results from the IAEA benchmark. The best way to do this is to compare
# results with information in the JNM article.
#
[GlobalParams]
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[IPyC_OPyC]
block = 'IPyC OPyC'
strain = finite
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[rest]
block = 'fuel buffer SiC'
strain = finite
eigenstrain_names = thermal_strain
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
density = 10810.0
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18 # n/m^2-sec
[]
[fission_gas_release] # Sifgr fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000 #kg/m^3
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temperature]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0 # kg/m^3
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0 # kg/m^3
block = SiC
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-7
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 3.10176e7
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_2DRZ_t.i)
initial_fuel_density = 10964.6
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.002675
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000105
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.143
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.99
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10964.6
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 10e-06
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm010_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/IFA_636/analysis/IFA_636_solid_swell/IFA_636_solid_swell.i)
initial_fuel_density = 10551.78
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_mesh_density = customize
clad_mesh_density = customize
pellet_quantity = 1
pellet_height = 0.392
pellet_outer_radius = 4.097e-3
ny_p = 40
nx_p = 11
clad_gap_width = 78e-6
clad_bot_gap_height = 1e-3
plenum_fuel_ratio = 0.21628
clad_thickness = 0.5715e-3
nx_c = 4
ny_c = 80
ny_cl = 3
ny_cu = 3
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 5e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[deltav_v0_swe]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = IFA_636_power_history.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = IFA_636_axial_peaking.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 213162351 213260400'
y = '0.0307 1 1 0.0307'
[]
[clad_temp_bc]
type = PiecewiseLinear
data_file = IFA_636_clad_bc.csv
format = columns
scale_factor = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_swelling_eigenstrain
fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[clad]
block = clad
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
creep_strain_xx creep_strain_xy creep_strain_yy creep_strain_zz'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.6e12
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[dvv0swe]
type = MaterialRealAux
variable = deltav_v0_swe
property = volumetric_swelling_strain
execute_on = timestep_end
block = pellet
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00324000
a_upper = 0.39524
fuel_volume_ratio = 1
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0040975
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0425 0.9575 0 0 0 0'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.33e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.0e6
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet
initial_fuel_density = 10551.78
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_swelling_eigenstrain
[]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.039
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
temperature = temp
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 293.0
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
diameter = 0.008194
diametral_gap =156.0e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.029
relocation_activation1 = 5000
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
initial_porosity = 0.039
gbs_model = true
transient_option = MICROCRACKING
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
inelastic_models = 'clad_creep'
tangent_operator = 'elastic'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
zircaloy_material_type = stress_relief_annealed
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradition_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200
min_value = 200
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 213260400
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
burnup_function = burnup
variable = temp
[]
[fuel_disp_y_average]
type = AverageNodalVariableValue
boundary = top_of_top_pellet
variable = disp_y
[]
[volumetric_strain]
type = ElementAverageValue
block = pellet
variable = deltav_v0_swe
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet
cladding_blocks = clad
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released fuel_disp_y_average rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK7/FK07.i)
# This file was created using BIF with the following inputs:
# FK06/FK06.var - md5sum: 5a60c05af67ba840a89caacf70b852e2
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
# Other changes were added after that process.
initial_fuel_density = 10310.8809782
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.0592261881186
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 0.955 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
initial_gas_types = 'He Ar'
initial_fractions = '0.25 0.75'
gas_released = fission_gas_released
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.1e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10310.8809782
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.0592261881186
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 1.30e26
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/LWR/validation/HBEP/analysis/BK370/HBEP_BK370.i)
initial_fuel_density = 10233
[GlobalParams]
density = ${initial_fuel_density} #93.2% of TD (TD assumed to be 10980)
initial_porosity = 0.068
displacements = 'disp_x disp_y'
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 5 # 20 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = HBEP.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 10.53e-6 # = 13.5e-6 experimental dia * 1.56 /2
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
# reads and interpolates an input file containing rod average linear power vs time
type = PiecewiseLinear
data_file = BK370_linear_power.csv
format = columns
[]
[axial_peaking_factors]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = BK370_power_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
#Ambient for initial build @ 0.101353 MPa, PWR @ 13.73 MPa and PIE @ 0.101353 MPa
x = '-100 0 108313920 108317520'
y = '0.007382 1 1 0.007382'
[]
[flux]
type = PiecewiseLinear
data_file = BK370_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear #PiecewiseConstant
data_file = BK370_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = BK370_clad_temp_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz
vonmises_stress'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_xx
creep_strain_yy creep_strain_xy'
[]
[]
[Kernels]
[heat]
# gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
a_lower = 0.00324
a_upper = 1.02024
fuel_outer_radius = 4.095e-3
fuel_inner_radius = 1.24e-3
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0707 0.9293 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = 3
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_hoop]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = clad
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10 # fuel
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
primary = 5 # clad
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = .955e-6
roughness_primary = 1.5e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 13.73e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.88e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10233
[]
[fuel_thermal]
type = UO2Thermal
block = 3
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 300
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = .00819
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =1.7e-4 #diameteral gap
relocation_activation1 = 5000 # initial relocation activation power set to 5kW/m
burnup_relocation_stop = .04
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models ='clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 300
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 50
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 108317520
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 2e6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block =3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.017 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = 3
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 4784
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
value_type = min
variable = penetration
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/metallic_fuel/EBRII/X447/analysis/legacy/x447_base.i)
[GlobalParams]
density = ${fuel_density}
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y' # RZ-2D
X_Pu = ${fuel_pu}
X_Zr = ${fuel_zr}
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_radial_elements = 10
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[func_val1] # Just for visualization
[]
[func_val2] # Just for visualization
[]
# AuxVariables used for thermal expansion correction
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[Functions]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[pwr_axial_peaking_factors] # Power peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[pwr_axial_peaking_factors_elongate] # Power peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[flow_rate_history] # Time-dependent flow mass flux from FIPD database; no longer needed if FIPD temperature is used as BC.
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /flow_history_ ${pin_id} .csv'}
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 ${time_last}'
y = '0.151e6 0.151e6'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[ci_temp] # vpp_function used to track cladding ID temperature.
type = PiecewiseLinearFromVectorPostprocessor
argument_column = y
component = y
value_column = temp
vectorpostprocessor_name = clad_inn_temp
[]
[na_vol] # Get sodium volume from mesh generator
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[]
[Physics/SolidMechanics/QuasiStatic]
temperature = temp
add_variables = true
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz volumetric_strain'
extra_vector_tags = 'ref'
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz hoop_stress hoop_creep_strain hoop_elastic_strain'
extra_vector_tags = 'ref'
block = cladding
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie_f]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = fuel
[]
[heat_ie_c]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = cladding
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = fission_rate
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = fuel_outer_radial_surface
[]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
block = cladding
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = cladding
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = cladding
[]
# AuxKernels used to correct thermal expansion
[fuel_thermal_strain_xx]
type = RankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
[clad_thermal_eigenstrain_xx]
type = RankTwoAux
rank_two_tensor = clad_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
penalty = 1e12
model = frictionless
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
quadrature = true
gap_conductivity = 61.0
min_gap = 0.5e-03 # Adjustable
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = fuel_bottom
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = cladding_outside_bottom
value = 0.0
[]
[fuel_top_temp] # Artificially set fuel top temperature; this could also be a Robin BC. Helps to avoid superhigh fuel top temperature in some extreme cases
type = FunctionDirichletBC
boundary = fuel_top
variable = temp
function = ci_temp
[]
[surf] # Setting temperature BC base on FIPD data
type = FunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'fuel_outside_all cladding_inside_all'
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
block = fuel
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors
use_metadata = true
mesh_generator = gen
outputs = all
[]
[fission_rate_elongate]
type = UPuZrFissionRate
block = cladding
fission_rate_name = fission_rate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors_elongate
use_metadata = true
mesh_generator = gen
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
outputs = all
block = fuel
[]
[burnup_elongate]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
outputs = all
block = cladding
burnup_name = burnup
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors_elongate
block = cladding
factor = 1.0
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = fuel
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
outputs = all
[]
[fuel_volumetric_swelling] # Use LIFE-METAL Empirical model
type = UPuZrVolumetricSwellingEigenstrainLM
block = fuel
use_preset_bubble_size = true
anisotropic_factor = 1.26
temperature = temp
fission_rate = fission_rate
burnup = burnup
fis_gas_ret = fis_gas_ret
hydrostatic_stress = hydrostatic_stress
eigenstrain_name = fuel_volumetric_strain
gas_swelling_scale_factor = 1.0
outputs = all
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
displacements = 'disp_x disp_y'
block = fuel
strain_free_density = ${fuel_density}
[]
[fission_gas_behavior]
type = FgrUPuZrLM
block = fuel
temperature = temp
fission_rate = fission_rate
epsilon_c = 0.36
[]
[clad_elasticity_tensor]
type = HT9ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = cladding
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = cladding
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = cladding
temperature = temp
fast_neutron_flux = fast_neutron_flux
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = cladding
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
outputs = all
[]
[clad_thermal]
type = HT9Thermal
block = cladding
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
block = cladding
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = MetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = MetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50
variable = temp
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 101' #51
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
end_time = ${time_last}
dtmin = 1
dtmax = ${max_dt}
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = power_history
max_function_change = 300
timestep_limiting_postprocessor = creep_timestep
dt = 100
time_t = '0 9300'
time_dt = '100 100'
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = cladding_inside_top
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = centerline
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = fuel_outer_radial_surface
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = cladding_inside_right
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = cladding
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = cladding
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_inner_vol]
type = InternalVolume
boundary = cladding_inside_all
[]
[pellet_volume]
type = InternalVolume
boundary = fuel_outside_all
[]
[gas_volume]
type = InternalVolume
boundary = 'fuel_outside_all cladding_inside_all'
execute_on = 'initial timestep_end'
addition = na_vol
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = fuel_outer_radial_surface
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = fuel_outer_radial_surface
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = cladding_inside_right
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = fuel_outer_radial_surface
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = fuel
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = fuel
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = cladding
variable = hoop_creep_strain
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = cladding
variable = creep_strain_mag
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = cladding
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'cladding_outside_top cladding_outside_right'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
outputs = 'console'
[]
[avg_fuel_temp]
type = ElementAverageValue
variable = temp
block = fuel
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = centerline
sort_by = y
outputs = none
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = fuel_outer_radial_surface
sort_by = y
outputs = none
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_inside_right
sort_by = y
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = cladding_outside_right
sort_by = y
csv_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /X447A_ ${pin_id} _PR.csv'}
variable = disp_x
thermal_strain_variable = clad_thm_exp
involved_component = cladding
mesh_generator = gen
series_type_to_read = 'Cladding O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Outputs]
perf_graph = true
checkpoint = false
color = true
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
sync_times = ${time_spots}
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
[]
[exodus]
type = Exodus
time_step_interval = 20
sync_times = ${time_spots}
enable = false
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM073/BFM073.i)
################################################################################
#
# Description: Calvert Cliffs BFM073
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM073_power.csv
# axial peaking factor file BFM073_axial_peaking.csv
# flux boundary condition file BFM073_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31914
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM073_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM073_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179191453 179191813'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179191453 179191813'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM073_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179191813
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/FUMEXII_Regate/analysis/Regate_smeared.i)
initial_fuel_density = 10360
[GlobalParams]
density = ${initial_fuel_density}
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = regate_mesh_smeared.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.675e-6
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = regate_linear_power.csv
scale_factor = 1
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = regate_axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 98406792 98407164 98407291 98407445 99578736 99580326'
y = '0.00654 1 1 0.00654 0.00654 0.839 0.839 0.00654'
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = regate_cladding_temperature.csv
scale_factor = 1
format = columns
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
data_file = regate_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_zz
creep_strain_xx elastic_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
factor = 1
function = fast_neutron_flux_function
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_lower = 0.00324
a_upper = 0.4444
fuel_inner_radius = 0
fuel_outer_radius = 0.004096
fuel_volume_ratio = 1
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_wall_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.5e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10360
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
initial_porosity = 0.05246
block = 3
temperature = temp
burnup_function = burnup
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 293.0
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.008192
diametral_gap =1.68e-5
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.015
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='clad_creep_stress plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[plasticity]
type = IsotropicPlasticityStressUpdate
block = 1
yield_stress = 500e6
hardening_constant = 2.5e9
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-4
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 99580326
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
optimal_iterations = 12
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
sync_times = '98407291'
[console]
type = Console
max_rows = 30
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(tools/inputwizard/tests/HBEP_BK363_action.i)
[GlobalParams]
density = 10233 #93.2% of TD (TD assumed to be 10980)
initial_porosity = 0.068
initial_grain_radius = 10.53e-6
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
temperature = temperature
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ./BK363/HBEP.e
[]
[]
[AuxVariables]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ./BK363/BK363_linear_power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ./BK363/BK363_power_peaking_factors.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 137115360'
y = '0.007382 1 0.007382'
[]
[flux]
type = PiecewiseLinear
data_file = ./BK363/BK363_fast_flux.csv
format = columns
[]
[clad_wall_temperature]
type = PiecewiseLinear
data_file = ./BK363/BK363_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
type = PiecewiseBilinear
data_file = ./BK363/BK363_clad_temp_peaking_factors.csv
axis = 1
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temperature axial_clad_peaking'
[]
[]
[AuxKernels]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10
initial_moles = initial_moles
primary = 5
gas_released = fission_gas_released
variable = temperature
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = .955e-6
roughness_primary = 1.5e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 13.73e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.40e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[NuclearMaterials]
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
fission_operation = HighBurnup
physics = 'Mechanics Thermal'
initial_temperature = 300
stress_free_temperature = 300
strain = FINITE
[UO2]
[fuel]
block = pellet_type_1
uo2_models = 'Burnup Elastic Relocation Swelling ThermalExpansion'
isotopes = 'U238 U235'
isotope_fractions = '0.9293 0.0707'
burnup_relocation_stop = 0.035
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
additional_generate_output = hydrostatic_stress
fuel_volume_ratio = 1.0
# The mesh is not a right cyclinder due to
# chamfering and dishing, following the
# established HBEP_BK363.i results, this
# is kept as fuel_volume_ratio=1 to match
# test results
extra_vector_tags = 'ref'
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
cladding_models = 'Elastic Creep IrradiationGrowth ThermalExpansion'
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_xy hoop_creep_strain'
flux_function = flux
extra_vector_tags = 'ref'
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temperature
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 50
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 137115360
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 2e6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block =pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.017
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = 4784
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10
value_type = min
variable = penetration
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(test/tests/triso_failure/triso_1d_failure_error.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[high_fidelity_strength_asphericity]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_asphericity]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_change_correlation_asphericity]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
factor = 1.708707e18 # n/m^2-sec
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
# apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temperature_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
flux = fast_neutron_flux
temperature = temperature
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
fluence = fast_neutron_fluence
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_thermal]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength]
type = GenericConstantMaterial
prop_values = '9640000 9640000 9640000'
prop_names = 'characteristic_strength_SiC characteristic_strength_IPyC characteristic_strength_OPyC'
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temperature_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength_SiC
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
characteristic_strength = characteristic_strength_IPyC
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_type = scalar_quantity
scalar_type = MaxPrincipal
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
characteristic_strength = characteristic_strength_OPyC
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_type = scalar_quantity
scalar_type = MaxPrincipal
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_type = scalar_quantity
scalar_type = MaxPrincipal
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_type = scalar_quantity
scalar_type = MaxPrincipal
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(test/tests/example_problem_test/example_problem_test.i)
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y'
energy_per_fission = 3.2e-11 # J/fission
temperature = temp
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 2_pellet_discrete.e
[]
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
extra_vector_tags = 'ref'
add_variables = true
decomposition_method = EigenSolution
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain
fuel_relocation_eigenstrain fuel_thermal_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[clad]
block = clad
strain = FINITE
incremental = true
extra_vector_tags = 'ref'
add_variables = true
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = 'pin_geometry'
fuel_volume_ratio = 0.987775
order = CONSTANT
family = MONOMIAL
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'initial timestep_end'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = -200
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
execute_on = 'initial linear'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
initial_porosity = 0.0
temperature = temp
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = pellet_type_1
stress_free_temperature = 295
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[hotpressing]
type = UO2HotPressingCreepUpdate
block = pellet_type_1
burnup_function = burnup
initial_grain_radius = 10.0e-6
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = ' hotpressing'
block = pellet_type_1
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
fuel_pin_geometry = 'pin_geometry'
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000 #TM default value
burnup_relocation_stop = 1.e20
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_creep_model]
type = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = 10431.0
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 300
[]
[]
[Preconditioning]
[SMP]
type = SMP
coupled_groups = 'disp_x,disp_y'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-pc_type_asm'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-5 #8e-3
nl_max_its = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-8
start_time = -200
num_steps = 2
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
optimal_iterations = 6
iteration_window = 2
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = timestep_end
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = timestep_end
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = timestep_end
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = timestep_end
[]
[gas_volume] # gas volume
type = InternalVolume
boundary = 9
component = 1
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[_dt] # time step
type = TimestepSize
execute_on = timestep_end
[]
[nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
execute_on = timestep_end
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.02372 # rod height
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
color = false
[console]
type = Console
output_linear = true
max_rows = 25
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK2/FK02.i)
# This file was created using BIF with the following inputs:
# FK02.var - md5sum: 123016ae8f3283a45bae816a366f93b1
# ../pulse_rev1.tpl - md5sum: 8d6b8b4bce1dd830dea2d8522009e514
initial_fuel_density = 10020.6066633
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.03481
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[gap_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.085711070864
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 0.0473684210526 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseBilinear
data_file = RadialPowerProfile.csv
axis = 0
[]
[radial_burnup_profile]
type = PiecewiseBilinear
data_file = RadialBurnupProfile.csv
axis = 0
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.039 0.961 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
friction_coefficient = 2.5
normal_smoothing_distance = 0.1
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
tangential_tolerance = 1.0e-6
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.3e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10020.6066633
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.085711070864
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 8.40e25
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = 0.01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[contactslip]
type = ContactSlipDamper
primary = 5
secondary = 8
min_damping_factor = 0.05
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/LWR/validation/Riso_GE7_ZX115/analysis/Riso_GE7_smeared.i)
id = Riso_GE7_smeared
# Rod geometry
patch_size = 20
nodeid_1 = 14796 #coords (0.005205, 0.340342)
nodeid_2 = 14796 #coords (0.005205, 0.340342)
nodeid_3 = 14825 #coords (0.0, 0.340252)
blocks_fuel = pellet_type_1
blocks_all = 'pellet_type_1 clad'
fuel_volume_ratio = 1.0
num_radial_burnup = 80
bias_radial_burnup = 1
num_axial_burnup = 11
# these ones below should not be needed since we use pin_geometry
a_upper = 0.76446
a_lower = 0.01494
number_pellets = 72 # based on existing discrete mesh
fuel_inner_radius = 0 # m
fuel_outer_radius = 0.005205 # m
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
fuel_diameter = 0.01041 # m
diametral_gap = 220.0e-6 # m
# Fuel material properties
initial_fuel_density = 10431.0 # kg/m^3 (TD assumed: 10960 kg/m^3)
initial_grain_radius = 9.4e-6 # from Riso GE7 report, Table 2-1, R = 1.56*l/2, l is 2D average size, Mendelson, J.Am.Cerm.Soc.(1969) eqn 13
initial_fuel_porosity = 0.05 # (-)
fuel_thermal_expansion_coeff = 10.0e-06 # K^-1
# Cladding material properties
cladding_density = 6551.0 # kg/m^3
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
startup_time = 0 # s
# end_time_base_irradiation = 161756676 # s End of base irradiation
end_time = 161814651 # Whole power history, rounded to dtmin
# Numerical options
damper_max_temperature_increment = 100.0 # K
l_max_its = 40
l_tol = 1e-4
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100 # s
dtmax = 1e6 # s
dtmin = 1 # s
TimeStepper_dt = 100 # s
TimeStepper_optimal_iterations = 200
TimeStepper_iteration_window = 2
TimeStepper_linear_iteration_ratio = 100
n_startup_steps = 0
# Temperature conditions
initial_temperature = 293 # K
stress_free_temperature = 293.15 # K
initial_plenum_pressure = 0.29e6 # Pa
power_history_scale_factor = 1
# Neutronics, power, and isotope fractions
energy_per_fission = 3.28451e-11 # J/fission
fast_neutron_flux_factor = 1 # (-)
isotope_fraction_U235 = 0.0295
isotope_fraction_U238 = 0.9705
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Contact parameters
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
roughness_secondary = 1.0e-6
roughness_primary = 2.0e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
# Outputs
chkfile_show = 'average_burnup fission_gas_released_percentage FCT rod_ave_lin_pow'
sync_times = '161756676 161760846 161765136 161765976 161767595.9 161767655.9 161767716.1 161767775.9 161767839 161767896.1 161768000.3 161770475.9 161770583.9 161771136.1 161771189.8 161772036.1 161772083.5 161772936.1 161772958.2 161773056 161773093.9 161773836.1 161773889.8 161774736.1 161774758.2 161796696.1 161796702.4 161797236.1 161797283.5 161797356 161797523.4 161797716 161797788.6 161797835.9 161797876.9 161797956.1 161798019.3 161812536.1 161812595.9 161812716.1 161812836 161813270.9'
# Data file pathways
rod_mesh_file = Riso_GE7_ZX115/analysis/ge7_smeared.e
power_history_data_file = Riso_GE7_ZX115/analysis/riso_ge7_zx115_linear_power.csv
axial_peaking_data_file = Riso_GE7_ZX115/analysis/riso_ge7_zx115_peaking_factors.csv
clad_out_temperature_data_file = riso_ge7_zx115_clad_temperature.csv
flux_data_file = Riso_GE7_ZX115/analysis/riso_ge7_zx115_fast_flux.csv
!include ../../Riso_Base.i
!include ../../Riso_Base_sub.i
[Functions]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 161748936 161756676 161813271 161814651'
y = '.013995 1 1 .994475 .994475 .013995'
[]
[clad_temperature_bc]
type = PiecewiseLinear
data_file = ${clad_out_temperature_data_file}
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
[]
[clad]
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_growth_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
[]
[]
[Kernels]
[heat_source]
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
fuel_pin_geometry = pin_geometry
[]
[]
[BCs]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 7.24e6
function = pressure_ramp
[]
[]
[]
[Materials]
[fuel_thermal]
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_relocation]
fuel_pin_geometry = pin_geometry
[]
[fuel_swelling]
gas_swelling_model_type = SIFGRS
[]
[clad_irradiation_growth_eigenstrain]
zircaloy_material_type = stress_relief_annealed
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = ${damper_max_temperature_increment}
[]
[limit_dispx]
type = MaxIncrement
variable = disp_x
max_increment = 1.0e-5
[]
[]
[Executioner]
[TimeStepper]
timestep_limiting_postprocessor = material_timestep
[]
[]
[Postprocessors]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[min_fuel_temperature]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.74952 # rod height
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet_type_1
fission_rate = fission_rate
variable = temperature
[]
[max_penetration]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = penetration
execute_on = 'initial timestep_end'
[]
[min_penetration]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = penetration
execute_on = 'initial timestep_end'
[]
[max_contact_pressure]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = pellet_type_1
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
# Nodal comparisons
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = ${nodeid_1}
use_displaced_mesh = true
[]
[penetration]
type = NodalVariableValue
variable = penetration
nodeid = ${nodeid_2}
use_displaced_mesh = true
[]
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = ${nodeid_3}
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
sync_times = ${sync_times}
[]
(assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_13/case_13_1D.i)
#
# This case is taken from Advances in high temperature gas cooled reactor fuel
# technology. Technical Report IAEA-TECDOC-1674, International Atomic Energy
# Agency, 2012.
#
# The correctness of the results computed by this case must be checked against
# results from the IAEA benchmark.
#
initial_fuel_density = 10810.0
[GlobalParams]
density = ${initial_fuel_density} # kg/m^3
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 251e-6
buffer_thickness = 95e-6
IPyC_thickness = 41e-6
SiC_thickness = 35e-6
OPyC_thickness = 40e-6
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1298.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 9.30203234e19 # units of fissions/m**3/s
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[IPyC_OPyC]
block = 'IPyC OPyC'
strain = finite
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[rest]
block = 'fuel buffer SiC'
strain = finite
eigenstrain_names = thermal_strain
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1298.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.041666666667e18 # n/m^2-sec
[]
[fission_gas_release] # Sifgr fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1298.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1298.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1298.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1010 #kg/m^3
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temperature]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1870.0 # kg/m^3
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0 # kg/m^3
block = SiC
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-7
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 51840000
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
# ro = 346e-6
# ri = 251e-6
# vb = 4/3*pi*(ro^3-ri^3) = 1.07e-10
# buffer density = 1010
# PyC density = 1870
# fill ratio = 1010/1870
# vb*1010/1870 = 5.79e-11
# Must remove 5.79e-11 m^3 from the volume
addition = -5.79e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(assessment/metallic_fuel/EBRII/X447/analysis/enhancement/x447_enh_base.i)
# Enhanced X447 analysis
# Uses advanced contact and gap conductance modeling from X441 assessment case
# Uses 0.3017 for fission gas yield, which is consistent with X423 assessment case
## Sodium logging was calculated by hand here for confirmation
## The hotpressing, or the accumulation of solid FPs (~15% at ~10% BU)
## Will consume the available porosity
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# Calculations
cladding_ir = ${fparse fuel_radius + cladding_gap_width}
gas_plenum_height = ${fparse plenum_volume / pi / cladding_ir^2}
fuel_y_start = ${fparse gap_bottom_length + top_bot_cladding_height}
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = ${gap_bottom_length} # arbitrary
cladding_bottom_plug_length = ${top_bot_cladding_height} # arbitrary
cladding_top_plug_length = ${top_bot_cladding_height} # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 120
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel cladding cap stand'
[]
[disp_x]
block = 'fuel cladding cap stand'
[]
[disp_y]
block = 'fuel cladding cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1102 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[axial_peaking_factors_extended]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} '
'${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / '
'(disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress '
'hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz '
'elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy '
'strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress '
'creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx '
'elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = 'cladding'
eigenstrain_names = 'cladding_thermal_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel cladding'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel cladding cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel cladding cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = ' cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = ${fparse 1e17 * magic_factor}
c_tangential = ${fparse 1e19 * magic_factor}
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 0.151e6
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = FunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[AuxKernels]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[]
[Materials]
[longHT9_failure]
type = HT9FailureClad
block = cladding
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
initial_X_Zr=${initial_X_Zr}
X_Zr = ${initial_X_Zr}
X_Pu_function = 0
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
# initial_X_Zr=${initial_X_Zr}
X_Zr = ${initial_X_Zr}
X_Pu_function = 0
block = 'cladding'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = 0
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = 0
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = cladding
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = 0
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-1
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = 0
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017 #0.25
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = 0
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = cladding
factor = 1.0
outputs = all
[]
[cladding_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
block = 'cladding'
outputs = all
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
output_properties = 'youngs_modulus poissons_ratio'
[]
[cladding_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'cladding_creep'
block = 'cladding'
outputs = all
[]
[cladding_creep]
type = ADHT9CreepUpdate
block = 'cladding'
temperature = temp
outputs = all
primary_creep_model = MFH
secondary_creep_model = MFH
tertiary_creep_model = MFH
irradiation_creep_model = MFH
use_effective_time_for_tertiary = true
use_effective_time_for_primary = true
fast_neutron_flux = fast_neutron_flux
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = 'cladding'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[cladding_thermal]
type = ADHT9Thermal
block = 'cladding'
temperature = temp
outputs = all
[]
[cladding_density]
type = ADStrainAdjustedDensity
block = 'cladding'
strain_free_density = ${cladding_density}
outputs = all
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
block = 'cladding'
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
block = 'cladding'
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 15 #20
nl_rel_tol = 5e-6
nl_abs_tol = 5e-9
end_time = ${run_time}
dtmin = 1
dtmax = ${max_time_step}
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = time_step_limit
force_step_every_function_point = true
max_function_change = 300
timestep_limiting_function = power_history
dt = 1e2
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = 'cladding'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = 'cladding'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = 'cladding'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
# Beyond gap closure, sodium temperarture is almost the same as the cap.
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'cladding'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'cladding'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'cladding'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'cladding'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'cladding'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'cladding'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel cladding'
outputs = none
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > max_dt, max_dt, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
constant_names = 'max_dt'
constant_expressions = '${max_time_step}'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
[]
[max_wst_temp]
type=ElementExtremeValue
value_type=max
variable=temp
proxy_variable=wastage_thickness
block='cladding'
[]
[max_wst_burnup]
type=ElementExtremeValue
value_type=max
variable=burnup
proxy_variable=wastage_thickness
block='cladding'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = cladding_outside_right
sort_by = y
csv_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /X447A_ ${pin_id} _PR.csv'}
variable = disp_x
thermal_strain_variable = clad_thm_exp
involved_component = cladding
mesh_generator = gen
series_type_to_read = 'Cladding O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
print_linear_residuals = true
color = true
perf_graph = true
sync_times=${time_spots}
[checkpoint]
type = Checkpoint
sync_times = '19339200'
file_base = 'midpoint_cp'
[]
[exodus]
type = Exodus
time_step_interval = 500
sync_times = ${time_spots}
enable = false
file_base = 'x447_${pin_id}_exodus'
[]
[console]
type = Console
show = 'time_step_size max_fuel_elongation burnup_avg max_wastagethickness'
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
file_base = 'x447_${pin_id}_csv_vpp_a'
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
file_base = 'x447_${pin_id}_csv_wst_a'
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
file_base = 'x447_${pin_id}_csv_general'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/linear/test_3d.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 'coarse_3d.e'
[]
[]
[Variables]
[temp]
[]
[]
[AuxVariables]
[fission_rate]
block = 'pellet_type_1'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
energy_per_fission = 3.28451e-11
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 'pellet_type_1'
value = 1.21783766833e19 #fissions/m3s
[]
[]
[BCs]
[side_temp]
type = DirichletBC
variable = temp
boundary = 10
value = 500
[]
[ ]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1'
thermal_conductivity = 5.2
[]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[center_temp]
type = PointValue
point = '0.0 0.003 0'
variable = temp
[]
[avg_temp]
type = ElementAverageValue
block = 'pellet_type_1'
variable = temp
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
[]
[]
[Outputs]
perf_graph = true
csv = true
[]
(test/tests/triso_failure/triso_failure_diffusivity.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '18 14 0 12 16 16'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = ${IPyC_thickness}
SiC_thickness_mean = ${SiC_thickness}
OPyC_thickness_mean = ${OPyC_thickness}
[]
[]
[Variables]
[temperature]
initial_condition = 873.15
[]
[conc_Ag]
initial_condition = 0.0
scaling = 1e12
[]
[]
[AuxVariables]
[bounds_dummy]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Ag_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 7.78e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1403604095.5707'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -4.0
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1371700766.8875'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.5191967987843993
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.391516859626456
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[ag_d1]
type = ParsedFunction
symbol_values = 'sic_failure_overall'
symbol_names = 'failure'
expression = 'if(failure > 0.5,1e-6,3.6e-9)'
[]
[ag_q1]
type = ParsedFunction
symbol_values = 'sic_failure_overall'
symbol_names = 'failure'
expression = 'if(failure > 0.5,0,215e3)'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Ag_dt]
type = TimeDerivative
variable = conc_Ag
[]
[mass_Ag]
type = ArrheniusDiffusion
variable = conc_Ag
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
extra_vector_tags = 'ref'
[]
[mass_source_Ag]
type = SpeciesSourceRate
variable = conc_Ag
property_name = Ag_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Ag_diff_coef]
type = MaterialRealAux
variable = Ag_diff_coef
property = arrhenius_diffusion_coef_Ag
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = 873.15
boundary = exterior
[]
[freesurf_conc_Ag]
type = DirichletBC
variable = conc_Ag
boundary = exterior
value = 0.0
[]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Controls]
[ag_d1]
type = RealFunctionControl
parameter = 'Materials/SiC_conc_Ag/d1'
function = 'ag_d1'
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[ag_q1]
type = RealFunctionControl
parameter = 'Materials/SiC_conc_Ag/q1'
function = 'ag_q1'
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
#block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.16e18
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Ag]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 6.7e-9 # m^2/s
q1 = 165e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[mass_source_Ag_property]
type = SpeciesSourceMaterial
property_name = Ag_generation
kind = Ag
block = fuel
[]
### Buffer Properties
[buffer_conc_Ag]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
### IPyC properties
[IPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
### SiC properties
[SiC_conc_Ag]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 3.6e-9 # m^2/s
q1 = 215e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
### OPyC properties
[OPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
initial_gas_types = 'Kr Xe'
initial_fractions = '0.185 0.815'
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[conc_Ag]
type = GapHeatTransfer
variable = conc_Ag
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc_Ag
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-7
nl_abs_tol = 1e-7
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
growth_factor = 1.5
optimal_iterations = 8 #6
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[release_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[release_Ag_inc]
type = SideIntegralMassFlux
variable = conc_Ag
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
execute_on = 'initial timestep_end'
[]
[released_Ag]
type = TimeIntegratedPostprocessor # computes time integration of value
value = release_Ag_inc
execute_on = 'initial timestep_end'
[]
[total_Ag]
type = ElementIntegralMaterialProperty
mat_prop = Ag_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Ag_released]
type = FractionalRelease
released = released_Ag
total = total_Ag
[]
[retained_Ag]
type = ElementIntegralVariablePostprocessor
variable = conc_Ag
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial linear timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
failure_type = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.2
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9144
pellet_outer_radius = 2.794e-3
pellet_inner_radius = 6.985e-4
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 101.6e-6
clad_thickness = 0.5334e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.057 #1.058 - 0.001 clad_bot_gap_height
elem_type = QUAD8
nx_c = 4
ny_c = 500
nx_p = 30
ny_p = 500
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[thermal_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fraction_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 0.854004932 0.854004932'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 2.99513e+19 2.99513e+19'
[]
[axial_power_profile]
type = PiecewiseBilinear
x = '0.0334152 0.09468 0.1559448 0.2162952 0.27756 0.3388248 0.3991752 0.46044 0.5217048 0.5820552 0.64332 0.7045848 0.7649352 0.8262 0.8874648'
y = '0 31858942.74'
z = '5493.43832 7183.727034 29157.48031 34228.34646 37608.92388 40144.35696 41412.07349 42257.21785 41834.64567 39721.78478 37608.92388 33805.77428 28312.33596 4225.721785 2535.433071 5041.338583 6592.519685 26757.87402 31411.41732 34513.77953 36840.55118 38003.93701 38779.52756 38391.73228 36452.75591 34513.77953 31023.62205 25982.28346 3877.952756 2326.771654'
scale_factor = 1
axis = 1
[]
[average_power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24264.05646 24264.05646'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.2
axial_power_profile = axial_power_profile
rod_ave_lin_pow = fraction_history
pellet_diameter = 0.005588
execute_on = timestep_begin
pellet_inner_diameter = 0.001397
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[conductivity]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_cond
block = pellet
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 0.151e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 0.151e6
inlet_massflux = 1687.43
rod_diameter = 6.858e-3
rod_pitch = 1.7e-2
linear_heat_rate = fraction_history
axial_power_profile = axial_power_profile
coolant_material = sodium
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
diff_coeff_option = TURNBULL_D1_4D2_4D3
grain_radius_const = 10e-06
bubble_gb_limit = 1.0e+11
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fast_neutron_flux]
type = GenericFunctionMaterial
block = clad
prop_names = fast_neutron_flux
prop_values = fast_neutron_flux_function
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-6
fixed_point_max_its = 1
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-4
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = fraction_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.9144 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[VectorPostprocessors]
[clad_surface]
type = LineValueSampler
variable = temp
start_point = '3.4e-3 3.24e-3 0.0'
end_point = '3.4e-3 1.97 0.0'
num_points = 200
sort_by = y
outputs = line_plot
[]
[fuel_radial_temperature_SampleH_master]
type = LineValueSampler
variable = temp
start_point = '6.985e-4 0.432 0.0'
end_point = '2.794e-3 0.432 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_SampleJ_master]
type = LineValueSampler
variable = temp
start_point = '6.985e-4 0.686 0.0'
end_point = '2.794e-3 0.686 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_SampleL_master]
type = LineValueSampler
variable = temp
start_point = '6.985e-4 0.913 0.0'
end_point = '2.794e-3 0.913 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_SampleH_master]
type = LineValueSampler
variable = pore
start_point = '6.985e-4 0.432 0.0'
end_point = '2.794e-3 0.432 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_SampleJ_master]
type = LineValueSampler
variable = pore
start_point = '6.985e-4 0.686 0.0'
end_point = '2.794e-3 0.686 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_SampleL_master]
type = LineValueSampler
variable = pore
start_point = '6.985e-4 0.913 0.0'
end_point = '2.794e-3 0.913 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = TIMESTEP_END
sub_cycling = false
positions_file = positions.txt
input_files = 'fftf_fo2_L09_sub.i'
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
check_multiapp_execute_on = true
execute_on = SAME_AS_MULTIAPP
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
execute_on = SAME_AS_MULTIAPP
[]
[]
[Debug]
show_var_residual_norms = true
[]
(examples/accident_tolerant_fuel/u3si2_zircaloy/u3si2_zircaloy.i)
initial_fuel_density = 11590.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
# Import mesh file
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = u3si2_zircaloy_smeared.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_inner_wall = 5
clad_outer_wall = 2
clad_top = 3
clad_bottom = 1
pellet_exteriors = 8
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[densification]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
[]
[gaseous_swell]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e4 1e8'
y = '0 2.5e4 2.5e4'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '6.537e-3 1 1'
scale_factor = 15.5e6
[]
[mass_flux_func]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '3800 3800 3800'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet_type_1
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
RPF = RPF
fuel_type = U3Si2
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = total_hoop_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
block = clad
[]
[densfication]
type = MaterialRealAux
property = densification
variable = densification
block = pellet_type_1
[]
[solid_swell]
type = MaterialRealAux
property = solid_swelling
variable = solid_swell
block = pellet_type_1
[]
[gaseous_swell]
type = MaterialRealAux
property = gaseous_swelling
variable = gaseous_swell
block = pellet_type_1
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
normal_smoothing_distance = 0.1
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = mass_flux_func # kg/m^2-sec
rod_diameter = 9.4996e-3 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = SilicideFuelThermal
block = pellet_type_1
thermal_conductivity_model = WHITE
silicon_mole_fraction = 0.4
temperature = temp
[]
[fuel_elasticity_tensor]
type = U3Si2ElasticityTensor
block = pellet_type_1
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
tangent_operator = elastic
inelastic_models = 'fuel_creep'
[]
[fuel_creep]
type = U3Si2CreepUpdate
block = pellet_type_1
temperature = temp
[]
[fuel_thermal_expansion]
type = U3Si2ThermalExpansionEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = U3Si2VolumetricSwellingEigenstrain
block = pellet_type_1
gaseous_swelling_type = U3SI2FG
temperature = temp
burnup_function = burnup
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = ZryThermal
temperature = temp
block = clad
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_plasticity'
relative_tolerance = 1e-5
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
relative_tolerance = 1e-5
max_inelastic_increment = 1e-4
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_plasticity]
type = ZryPlasticityUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
relative_tolerance = 1e-5
cold_work_factor = 0.5
plasticity_model_type = MATPRO
zircaloy_alloy_type = 4
[]
[fission_gas_behavior]
type = U3Si2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
saturation_coverage = 0.5
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6511.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 4.1783e-3
clad_outer_radius = 4.7498e-3
normal_operating_temperature_model = epri_kwu_ce
temperature = temp
fast_neutron_flux = fast_neutron_flux
use_coolant_channel = true
oxygen_weight_fraction_initial = 0.0012
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1e8
dtmax = 1e6
dtmin = 1e-3
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 3e20
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_postprocessor = material_timestep
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[avg_fuel_surface]
type = SideAverageValue
boundary = 10
variable = temp
[]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186
[]
[average_burnup]
type = ElementAverageValue
block = pellet_type_1
variable = burnup
[]
[oxide_thickness]
type = ElementExtremeValue
block = clad
variable = oxide_thickness
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
color = false
csv = true
print_linear_residuals = true
[console]
type = Console
max_rows = 25
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_H/x441_leg_H.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_mechanics.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube_mech.e
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[pore]
initial_condition = 0.143
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251380'
y = '600 882 882 600'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = 2
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = '4'
value = 0.0
[]
[no_x_clad]
type = DirichletBC
variable = disp_x
boundary = '5'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 7
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 6
value = 0.0
[]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 2
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 10964.6
block = 1
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = 1
[]
[elastic_stress_fuel]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = 1
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2
eigenstrain_name = fuel_thermal_strain
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = 2
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = 2
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[elastic_stress_clad]
type = ComputeFiniteStrainElasticStress
block = 2
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251380
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5 # half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'disp_x disp_y temp pore'
[]
(assessment/metallic_fuel/EBRII/X441/analysis/x441_base_action.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
temperature = temperature
pellet_radius = ${pellet_outer_radius}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temperature
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[NuclearMaterials]
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress'
add_variables = true
fission_operation = 'Normal'
physics = 'Thermal Mechanics'
extra_vector_tags = 'ref'
stress_free_temperature = 295.0
initial_temperature = 298
strain = FINITE
[UPuZr]
[fuel]
block = pellet
decomposition_method = TaylorExpansion
upuzr_models = 'Elastic Burnup Creep Swelling ThermalExpansion'
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
bubble_number_density = 1e20
max_inelastic_increment = 2e-3
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'porosity gaseous_porosity'
additional_generate_output = 'volumetric_strain'
[]
[]
[HT9]
[clad]
block = clad
decomposition_method = TaylorExpansion
fast_flux_factor = 2.47e19
thermal_expansion_coeff = 1.2e-5
ht9_models = 'Elastic Creep ThermalExpansion'
additional_generate_output = 'hoop_creep_strain hoop_elastic_strain hoop_strain'
[]
[]
[]
[Materials]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temperature
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temperature
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temperature
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temperature
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temperature
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temperature
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_rel
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temperature
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temperature
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temperature
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_action_nominal
[out2]
type = CSV
file_base = x441_${group_name}_action_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_action_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_action_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_action_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_action_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_action_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_action_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_action_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_action_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_action_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temperature'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM034/BFM034.i)
################################################################################
#
# Description: Calvert Cliffs BFM034
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM034_power.csv
# axial peaking factor file BFM034_axial_peaking.csv
# flux boundary condition file BFM034_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31392
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM034_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM034_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179410295 179410655'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179410295 179410655'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM034_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179410655
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/ifba_he_production/ifba_examp_template.i)
#
# 2-D RZ One Pellet Test - Coarse mesh example of IFBA layer
#
# This is an input template for a fast running example using the IFBA
# postprocessor. All of the possible ways to specify the IFBA layer are run
# using this template in a regression test format.
#
# The expected ouputs for each test depends on the model equation being used
# to calculate the He produced. For the burnup based equation, the He moles
# released at the end of the calculation is 1.4897e-6. A hand calculation is
# reproduced in the Excel spreadsheet IFBA_He_Calc included in the test
# directory. The burnup equation result computed for the same inputs is
# 1.4902e-6.
#
# Using the FRAPCON equation calculates a rate of He production, so comparing
# the first couple of time steps of the simulation to the hand calculation is
# more straightforward. Comparing the BISON results to the hand calculation is
#
# Time(s) He Prod (BISON) He Prod (Excel)
# 1000 1.01465e-10 1.01465e-10
# 3000 7.10250e-10 7.18769e-10
#
initial_fuel_density = 10431.0 #95% TD (TD = 10980)
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
temperature = temp
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 1
nx_p = 1
nx_c = 1
ny_cu = 1
ny_c = 1
ny_cl = 1
clad_thickness = 5.6e-4
pellet_outer_radius = 0.0041
pellet_height = 0.01
pellet_quantity = 1
clad_bot_gap_height = 1e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_gap_width = 8e-5
plenum_fuel_ratio = 0.150
elem_type = QUAD8
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[fission_rate]
block = '3'
[]
[burnup]
block = '3'
[]
[grain_radius]
block = '3'
initial_condition = 5e-6
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 20e3 # 20 kW/m peak power.
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '0 10000'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
add_variables = true
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain'
[]
[clad]
block = 1
strain = FINITE
incremental = true
add_variables = true
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
eigenstrain_names = 'clad_thermal_strain'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = '3'
value = 5.3548e+14
fission_rate_function = power_history
[]
[burnup]
type = BurnupAux
variable = burnup
block = '3'
fission_rate = fission_rate
molecular_weight = 0.270
[]
[grain_radius]
type = GrainRadiusAux
block = '3'
variable = grain_radius
temperature = temp
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e+14 #1e7
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
gas_released = 'fis_gas_released he_prod'
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1003
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = 1005
value = 0.0
[]
[Clad_Temp]
type = DirichletBC
variable = temp
boundary = '2'
value = 580.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.50e6
refab_pressure = 0.50e6
startup_time = 0.0
material_input = 'fis_gas_released he_prod'
output_initial_moles = initial_moles
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = '3'
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 298
eigenstrain_name = 'fuel_thermal_strain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = '3'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[fclad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 1
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 298
eigenstrain_name = 'clad_thermal_strain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3'
strain_free_density = ${initial_fuel_density}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
dtmax = 1.0e6
dtmin = 1.0
end_time = 2.5e6
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e3
optimal_iterations = 30
iteration_window = 4
time_t = '0 1e4 1e8'
time_dt = '1e4 1e5 1e6'
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
verbose = true
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 9 # cladding interior and pellet exterior
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = '3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = '3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
[]
[dt]
type = TimestepSize
[]
[residual]
type = Residual
[]
[nl_its]
type = NumNonlinearIterations
[]
[lin_its]
type = NumLinearIterations
[]
[average_burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = '3'
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01 #BWR change: length of fuel stack in meters (5*pellet height)
[]
[he_prod]
type = IFBAHeProduction
[]
[]
[Outputs]
time_step_interval = 1
exodus = false
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup burnup he_prod interior_temp plenum_pressure'
[]
[outfile]
type = CSV
delimiter = ' '
[]
[]
(assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2c/27_2c.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11 # J/fission (200 MeV)
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = FUMEXII27_2c_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[grain_radius]
block = pellet_type_1
initial_condition = 37.5e-6
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = 27_2c_linear_power.csv # power input as thermal power (BNFL-Case-27-2c-history.txt)
scale_factor = 1.025641
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = 27_2c_axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[ave_clad_surface_temp]
type = PiecewiseLinear
data_file = 27_2c_clad_outer_temperature.csv
scale_factor = 1
format = columns
[]
[axial_clad_surface_temp_profile]
type = PiecewiseBilinear
data_file = 27_2c_axial_temperature_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 224856734 224865601'
y = '6.53288e-3 1 1 6.53288e-3'
[]
[clad_surface_temperature]
type = CompositeFunction
functions = 'ave_clad_surface_temp axial_clad_surface_temp_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellet]
block = pellet_type_1
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[clad]
block = clad
add_variables = false
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = pellet_type_1
burnup_function = burnup
fraction = 0.975 # Ratio of thermal heat to total heat for the rod
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 3.66123981
a_lower = 0.00324
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.08 0.92 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
block = clad
factor = 4.5e13 # (n/m2-s per W/m)
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[clad_surface_temp]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_surface_temperature
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.5e6 # FUMEXII_27(2c) => 25 bar (2.5 MPa) (He fill)
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diameter = 0.0082
diametral_gap =0.00016
burnup_relocation_stop = 0.026
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
initial_porosity = 0.05
gbs_model = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
end_time = 204197750
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
linear_iteration_ratio = 100
iteration_window = 2
timestep_limiting_function = power_profile
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block ='3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
outputs = exodus
[]
[int_flux_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[int_flux_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fissionrate]
type = ElementAverageValue
block = pellet_type_1
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = '3'
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet_type_1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = 1
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_total_power'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM156/BFM156.i)
################################################################################
#
# Description: Calvert Cliffs BFM156
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM156_power.csv
# axial peaking factor file BFM156_axial_peaking.csv
# flux boundary condition file BFM156_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.34015
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM156_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM156_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177406235 177406595'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177406235 177406595'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM156_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
# [Dampers]
# [limitT]
# type = MaxIncrement
# variable = temp
# max_increment = 50
# []
# []
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177406595
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/triso_failure/ad_ipyc_characteristic_strength.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
use_automatic_differentiation = true
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[heat]
type = ADHeatConduction
variable = temp
[]
[heat_source]
type = ADNeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
use_automatic_differentiation = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = ADDirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = ADPressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[max_principal_stress]
type = ADRankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = ADUO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ADComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = ADPyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = ADUO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = ADHeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = ADStrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = ADHeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = ADStrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = ADHeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = ADStrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = ADGenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = ADPyCCharacteristicStrength
temperature = temp
X = 1.02
flux_conversion_factor = 0.85
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-8
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ADElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ADElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = ADWeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = ADWeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = ADWeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[characteristic_strength]
type = ADElementExtremeMaterialProperty
mat_prop = characteristic_strength
block = IPyC
value_type = max
[]
[flence]
type = ADElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = IPyC
value_type = max
[]
[]
[Outputs]
file_base = triso_ipyc_characteristic_strength_out
print_linear_residuals = true
time_step_interval = 1
csv = true
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK8/FK08.i)
# This file was created using BIF with the following inputs:
# FK06/FK06.var - md5sum: 5a60c05af67ba840a89caacf70b852e2
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10310.8809782
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.0592261881186
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 0.955 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy '
'elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy '
'strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz '
'stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz '
'creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
initial_gas_types = 'He Ar'
initial_fractions = '0.25 0.75'
gas_released = fission_gas_released
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.1e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10310.8809782
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.0592261881186
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 1.30e26
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage '
'peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_G/x441_grp_G.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/fission_rate_LWR/fission_to_thermal_power_deprecated.i)
# Tests/demonstrates fission to thermal power conversion
#
# In some cases, the LHGR is specified as the thermal power generated within
# the fuel. To get the fission rate and burnup correct, this thermal power must be
# scaled upward to obtain the total fission power in the fuel. For Halden experiments
# the ratio of fission power to thermal power in the fuel is generally assumed to be
# 0.95.
#
# In this test, the power is specified as fuel thermal power (95 W/m) and so is scaled
# upward to 100 W/m as part of the power function definition. This total power is then
# partitioned as thermal power in the fuel (0.95) and thermal power in the clad
# (0.05) using the NeutronHeatSource kernel.
#
# Postprocessors show the fission power in the fuel and clad as 100 and 0, as
# expected. The fission power density in the fuel can be computed as:
#
# Fdot = ALHR / (Energy_per_fission * Cross_sectional_area)
# = 100 / (3.2e-11 * pi * 0.56418958^2)
# = 3.125e12 fissions/(m**3-s)
#
# Assuming a very high conductivity for the fuel and clad (1e6), both materials can be
# accurately described using a lumped-capacity thermal model. The temperature is
# then given by:
#
# dT = (q * dt) / (rho * C * V)
# = (q/l * dt) / (rho * C * A)
#
# where: T = temperature
# t = time
# q = heat rate
# rho = density
# C = specific heat
# V = volume
# l = length
# A = cross-sectional area
#
# For the fuel, at 2 s:
# dT = (95 W/m * 2 s) / (1 kg/m^3 * 1 J/kg-K * pi * 0.56418958^2 m^2)
# = 190 K
#
# For the clad, at 2 s:
# dT = (5 W/m * 2 s) / (1 kg/m^3 * 1 J/kg-K * pi * (0.8990605^2 - 0.7^2 m^2)
# = 10 K
#
# which is what is computed numerically
#
[GlobalParams]
energy_per_fission = 3.2e-11
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = fission_to_thermal_power.e
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 500.0
[]
[]
[Functions]
[rod_ave_lin_pow]
type = PiecewiseLinear
x = '0 2'
y = '95 95'
scale_factor = 1.052631579 # scale input thermal power to fission power (1/0.95)
[]
[rod_axial_profile]
type = ParsedFunction
expression = '1.0'
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source_fuel]
type = NeutronHeatSource
block = 2
variable = temp
rod_ave_lin_pow = rod_ave_lin_pow
axial_profile = rod_axial_profile
outer_diameter = 1.128379169
inner_diameter = 0
fraction = 0.95 # 95% of fission power deposited in fuel
[]
[heat_source_clad]
type = NeutronHeatSource
block = 1
variable = temp
rod_ave_lin_pow = rod_ave_lin_pow
axial_profile = rod_axial_profile
outer_diameter = 1.7981211151463525
inner_diameter = 1.4
fraction = 0.05 # 5% of fission power deposited in clad
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = LWR
variable = fission_rate
rod_ave_lin_pow = rod_ave_lin_pow
axial_power_profile = rod_axial_profile
pellet_diameter = 1.128379169
execute_on = 'initial timestep_begin'
block = 2
[]
[]
[Materials]
[goo]
type = HeatConductionMaterial
block = '1 2'
thermal_conductivity = 1.0e6
specific_heat = 1.0
[]
[density]
type = ParsedMaterial
block = '1 2'
property_name = density
expression = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-6
start_time = 0.0
num_steps = 2
dt = 1.0
[]
[Postprocessors]
[fuel_fission_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 2
execute_on = 'initial timestep_end'
[]
[clad_fission_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 1
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
[]
(test/tests/fission_rate/exact_radial.i)
# This test is to verify the implementation of FissionRate material.
pellet_radius = 0.01
energy_per_fission = 100
[Problem]
solve = false
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = ${pellet_radius}
[]
[]
[AuxVariables]
[temperature]
[]
[]
[AuxKernels]
[temperature_aux]
type = FunctionAux
variable = temperature
function = '100 + 10000 * x'
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.5 1'
y = '0.9 1.1 0.9'
[]
[radial_profile]
type = PiecewiseLinear
axis = x
x = '0 ${fparse pellet_radius / 2} ${pellet_radius}'
y = '0.5 0.6 1.1'
[]
[]
[Materials]
[fission_rate]
type = FissionRate
rod_linear_power = power_profile
axial_power_profile = axial_profile
radial_power_profile = radial_profile
energy_per_fission = ${energy_per_fission}
pellet_radius = ${pellet_radius}
pellet_inner_radius = '${fparse pellet_radius / 2}'
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
num_steps = 5
[]
[Postprocessors]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.0005 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.0005 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.0005 0.15 0'
function = axial_profile
[]
[radial_power]
type = FunctionValuePostprocessor
point = '0.0005 0.15 0'
function = radial_profile
[]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[integral_power]
type = ElementIntegralPower
variable = temperature
energy_per_fission = ${energy_per_fission}
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[fission_rate_exact]
type = ParsedPostprocessor
pp_names = 'axial_power linear_power radial_power'
expression = 'correction := 1 / (${pellet_radius}^2 - ${fparse pellet_radius / 2}^2) / ${energy_per_fission} / 3.1415926535;
correction * axial_power * linear_power * radial_power'
[]
[fission_rate_diff]
type = ParsedPostprocessor
pp_names = 'fission_rate_exact fission_rate'
expression = '(fission_rate_exact - fission_rate) / fission_rate_exact'
outputs = none
[]
[fission_rate_max_diff]
type = TimeExtremeValue
postprocessor = 'fission_rate_diff'
value_type = abs_max
[]
[]
[Outputs]
csv = true
[]
(examples/TRISO/full_particle/1D/full_particle_1D.i)
initial_fuel_density = 10810.0
[GlobalParams]
density = ${initial_fuel_density}
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[temperature]
initial_condition = 1346.0
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
[]
[burnup]
block = fuel
[]
[grain_radius]
initial_condition = 5.0e-6
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[buffer]
block = buffer
add_variables = true
strain = FINITE
eigenstrain_names = 'buffer_thermal_strain buffer_eigenstrain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[IPyC]
block = IPyC
add_variables = true
strain = FINITE
eigenstrain_names = 'IPyC_eigenstrain IPyC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[SiC]
block = SiC
add_variables = true
strain = FINITE
eigenstrain_names = 'SiC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[OPyC]
block = OPyC
add_variables = true
strain = FINITE
eigenstrain_names = 'OPyC_eigenstrain OPyC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
[]
[]
[Functions]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# couplings to post processor
output_initial_moles = initial_moles
temperature = ave_temperature_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18 # n/m^2-sec
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temperature
thermal_conductivity_model = FINK_LUCUTA
initial_porosity = 0.0
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e8
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius = grain_radius
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2.0e8
poissons_ratio = 0.345
[]
[buffer_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = buffer
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_density]
type = StrainAdjustedDensity
strain_free_density = 1000.0
block = buffer
[]
[buffer_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.5e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = buffer_thermal_strain
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[buffer_irraditation]
type = PyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = buffer_eigenstrain
[]
[IPyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[IOPyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
temperature = temperature
[]
[IOPyC_thermal]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IOPyC_density]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[IPyC_densification]
type = PyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = IPyC_eigenstrain
[]
[IPyC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.5e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = IPyC_thermal_strain
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_density]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = SiC_thermal_strain
[]
[OPyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[OPyC_densification]
type = PyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = OPyC_eigenstrain
[]
[OPyC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.5e-6
temperature = temperature
stress_free_temperature = 1346.0
eigenstrain_name = OPyC_thermal_strain
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 3.10176e7
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temperature_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[max_xx_IPyC]
type = ElementExtremeValue
variable = stress_xx
block = IPyC
[]
[max_yy_IPyC]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
[]
[min_zz_IPyC]
type = ElementExtremeValue
variable = stress_zz
block = IPyC
value_type = min
[]
[max_xx_SiC]
type = ElementExtremeValue
variable = stress_xx
block = SiC
[]
[max_yy_SiC]
type = ElementExtremeValue
variable = stress_yy
block = SiC
[]
[min_zz_SiC]
type = ElementExtremeValue
variable = stress_zz
block = SiC
value_type = min
[]
[max_xx_OPyC]
type = ElementExtremeValue
variable = stress_xx
block = OPyC
[]
[max_yy_OPyC]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
[]
[min_zz_OPyC]
type = ElementExtremeValue
variable = stress_zz
block = OPyC
value_type = min
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = false
csv = true
perf_graph = true
[chkfile]
type = CSV
execute_on = Final
show = 'max_xx_IPyC max_yy_IPyC min_zz_IPyC max_xx_SiC max_yy_SiC min_zz_SiC'
[]
[]
(assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2a/27_2a.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11 # J/fission (200 MeV)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 9.5e-4
pellet_mesh_density = customize
ny_p = 8
nx_c = 4
nx_p = 12
pellet_outer_radius = 0.005305
ny_cu = 3
ny_c = 8
clad_bot_gap_height = 1e-3
pellet_quantity = 1
pellet_height = 0.0127
ny_cl = 3
plenum_fuel_ratio = 0.45
clad_gap_width = 9.5e-5
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 7.5e-6
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 100'
y = '0 15000'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0'
y = '0.02914 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = 3
burnup_function = burnup
[]
[]
# Note: The U235 should be 13% but the model does not currently work above 12%
[Burnup]
[burnup]
block = 3
order = CONSTANT
family = MONOMIAL
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.01594
a_lower = 0.00324
fuel_inner_radius = 0.0
fuel_outer_radius = 0.005305
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.12 0.88 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = 3
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
execute_on = timestep_begin
factor = 1.6e12 # (n/m2-s per W/m) used HALDEN fast flux
block = 1
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 1
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = 1
variable = creep_strain_mag
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
roughness_coef = 3.2
roughness_primary = 2.0e-6
roughness_secondary = 1.0e-6
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_bc]
type = DirichletBC
variable = temp
boundary = '1 2 3'
value = 516.2 # Clad wall temp = 240+.4162*(LHR)^.75, where temp is C and LHR is kW/m
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.447e6 # Halden coolant pressure
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 5.0e5 # FUMEXII => 500 kPa pressure (He fill)
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 10.61e-3
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =0.19e-3
relocation_activation1 = 5000
burnup_relocation_stop = 0.044
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3'
strain_free_density = ${initial_fuel_density}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = 1
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
end_time = 4.74e8
[TimeSteppers]
[ts1]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 12
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
outputs = exodus
[]
[intg_flux_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[intg_flux_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[fuel_center_temperature]
type = NodalVariableValue
nodeid = 467 # GlobalNodeID 468
variable = temp
execute_on = 'initial timestep_end'
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = '3'
[]
[]
[VectorPostprocessors]
[True]
type = RadialProfile
quantity = 'N235 N236 N238 N239 N240 N241 N242 RPF'
height =0.00635
burnup_function = burnup
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fuel_center_temperature rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2b/27_2b.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} # 95% TD assuming TD=10980
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 9.5e-4
pellet_mesh_density = customize
ny_p = 8
nx_c = 4
nx_p = 12
pellet_outer_radius = 0.005305
ny_cu = 3
ny_c = 8
clad_bot_gap_height = 1e-3
pellet_quantity = 1
pellet_height = 0.0127
ny_cl = 3
plenum_fuel_ratio = 0.45
clad_gap_width = 9.5e-5
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[disp_x]
initial_condition = 0.0
[]
[disp_y]
initial_condition = 0.0
[]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[grain_radius]
block = pellet
initial_condition = 7.5e-6
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 43200 5e8'
y = '0 15000 15000'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellet]
block = pellet
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[clad]
block = clad
add_variables = false
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
# Note: The U235 should be 13% but the model does not currently work above 12%
[Burnup]
[burnup]
block = 3
order = CONSTANT
family = MONOMIAL
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.12 0.88 0 0 0 0'
RPF = RPF
fuel_volume_ratio = 1
fuel_pin_geometry = fuel_pin_geometry
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
execute_on = timestep_begin
factor = 1.6e12 # (n/m2-s per W/m) used HALDEN fast flux
block = clad
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = clad
variable = creep_strain_mag
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
roughness_coef = 3.2
roughness_primary = 2.0e-6
roughness_secondary = 1.0e-6
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[clad_bc]
type = DirichletBC
variable = temp
boundary = '1 2 3'
value = 516.2 # Clad wall temp = 240+.4162*(LHR)^.75, where temp is C and LHR is kW/m
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.447e6 # Halden coolant pressure
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 5.0e5 # FUMEXII => 500 kPa pressure (He fill)
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.065
relocation_activation1 = 5000
fuel_pin_geometry = fuel_pin_geometry
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
creeprate_scale_factor = 1
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
end_time = 409638200
[TimeSteppers]
[ts1]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 12
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
[]
[intg_flux_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[intg_flux_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[fuel_center_temperature]
type = NodalVariableValue
nodeid = 467 # GlobalNodeID 468
variable = temp
[]
[average_fissionrate]
type = ElementAverageValue
block = pellet
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.0127 # rod height
[]
[]
[VectorPostprocessors]
[True]
type = RadialProfile
quantity = 'N235 N236 N238 N239 N240 N241 N242 RPF'
height =0.00635
burnup_function = burnup
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_total_power'
execute_on = 'FINAL'
[]
[checkpoint]
type = Checkpoint
num_files = 2
file_base = recover_files
sync_times = '409638200'
sync_only = true
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/burnup_action/burnup_without_actions.i)
# This test is designed as a companion test to the burnup_with_action.i input
# to clarify which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
energy_per_fission = 3.20435313e-11 # J/fission (200 MeV)
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = two_separate_blocks.e
[]
[]
[Variables]
[temp]
initial_condition = 300
[]
[]
[AuxVariables]
[fission_rate_1]
block = 1
[]
[fission_rate_2]
block = 2
[]
[burnup_1]
block = 1
[]
[burnup_2]
block = 2
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 100'
y = '0 40000'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.0 0.01 0.0105 0.0205'
y = '0 100'
z = '1 1 2 2 1 1 2 2'
axis = 1
[]
[burnup1]
type = BurnupFunction
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.01
a_lower = 0.0
fuel_inner_radius = 0.0
fuel_outer_radius = 0.01
fuel_volume_ratio = 1.0
[]
[burnup2]
type = BurnupFunction
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.0205
a_lower = 0.0105
fuel_inner_radius = 0.0
fuel_outer_radius = 0.01
fuel_volume_ratio = 1.0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source_block1]
type = NeutronHeatSource
variable = temp
block = 1
burnup_function = burnup1
[]
[heat_source_block2]
type = NeutronHeatSource
variable = temp
block = 2
burnup_function = burnup2
[]
[]
[AuxKernels]
[BurnupGrid1]
type = BurnupGrid
block = 1
execute_on = 'initial linear'
burnup_function = burnup1
variable = fission_rate_1
fission_rate = fission_rate_1
[]
[BurnupGrid2]
type = BurnupGrid
block = 2
execute_on = 'initial linear'
burnup_function = burnup2
variable = fission_rate_2
fission_rate = fission_rate_2
[]
[BurnupGrid3]
type = BurnupGrid
block = 1
execute_on = 'initial linear'
burnup_function = burnup1
variable = burnup_1
burnup = burnup_1
[]
[BurnupGrid4]
type = BurnupGrid
block = 2
execute_on = 'initial linear'
burnup_function = burnup2
variable = burnup_2
burnup = burnup_2
[]
[]
[BCs]
[block1_side_bc]
type = DirichletBC
variable = temp
boundary = 1
value = 300
[]
[block2_side_bc]
type = DirichletBC
variable = temp
boundary = 2
value = 300
[]
[]
[Materials]
[fuel_thermal1]
type = UO2Thermal
block = 1
temperature = temp
burnup_function = burnup1
thermal_conductivity_model = NFIR # NFIR thermal conductivity
initial_porosity = 0.05
[]
[fuel_thermal2]
type = UO2Thermal
block = 2
temperature = temp
burnup_function = burnup2
thermal_conductivity_model = NFIR # NFIR thermal conductivity
initial_porosity = 0.05
[]
[fuel_density]
type = ParsedMaterial
block = '1 2'
property_name = density
expression = ${initial_fuel_density}
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0
dtmax = 1e4
dtmin = 100
end_time = 5e5
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 6
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[ave_temp_block1]
type = ElementAverageValue
block = 1
variable = temp
execute_on = 'initial timestep_end'
[]
[ave_temp_block2]
type = ElementAverageValue
block = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[rod_power_1]
type = ElementIntegralPower
variable = temp
block = 1
burnup_function = burnup1
execute_on = 'timestep_end'
[]
[rod_power_2]
type = ElementIntegralPower
variable = temp
block = 2
burnup_function = burnup2
execute_on = 'timestep_end'
[]
[rod_burnup_1]
type = RodAverageBurnup
burnup_function = burnup1
execute_on = 'timestep_end'
[]
[rod_burnup_2]
type = RodAverageBurnup
burnup_function = burnup2
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
exodus = false
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 1
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW_action.i)
################################################################################
#
# Description: LOCA MT-4 Test with constant power level of 1.1 kW/m
#
#
# External files:
# axial peaking factor file MT4_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
temperature = temperature
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[AuxVariables]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 110'
y = '1.1e3 1.1e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 57 110'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT4_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 110'
y = '0.28 0.28'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[AuxKernels]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.3e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temperature
inlet_temperature = 311 # K
inlet_pressure = 0.28e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = 10
htc_correlation_type = 1
flooding_time = 57.0
flooding_rate = 0.127 # m/s
initial_temperature = 1140 # K
initial_power = 1.628 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[NuclearMaterials]
fission_operation = LOCA
add_variables = true
physics = 'Mechanics Thermal'
temperature_function = 'temp_func'
stress_free_temperature = temperature
extra_vector_tags = 'ref'
strain = FINITE
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
[UO2]
[pellet]
block = pellet
incremental = true
additional_generate_output = 'hydrostatic_stress'
uo2_models = 'Burnup Elastic Swelling '
automatic_eigenstrain_names = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
isotopes = 'U235 U238'
isotope_fractions = '0.0293 0.9707'
density = 10431 #
initial_grain_radius = 7.8e-6
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
incremental = true
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_xy creep_strain_zz elastic_strain_xx elastic_strain_zz hoop_creep_strain'
automatic_eigenstrain_names = true
failure_criterion = combined_overstress_and_plastic_instability
cladding_models = 'Elastic Creep ThermalExpansion ZrPhase
ZryCladdingFailure'
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 110
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temperature
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temperature
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temperature'
show_var_residual_norms = true
[]
(examples/pore_migration/mox_porosity_demo_2D_concentric.i)
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube_2d_concentric.e
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[pore]
initial_condition = 0.15
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 37500'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel]
type = FissionRateGeneral
fission_rate_formulation = LWR
variable = fission_rate_aux_variable
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0054
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.15
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0054
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[temp_cool_side]
type = DirichletBC
variable = temp
boundary = '3'
value = 600
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
porosity_limit = 0.95
block = 1
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 10662.0
block = 1
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity thermal_conductivity_dT specific_heat'
prop_values = '15.0 0.0 470'
block = 2
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 10000
dtmax = 100
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[a_run_time] # average temperature of cladding interior
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate_aux_variable
block = 1
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.000625 # rod height
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[] # end element average burnup
[]
[VectorPostprocessors]
[pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.0 0.0'
end_point = '0.002675 0.0 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = line_plot
control_tags = a
[]
[gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.0 0.0'
end_point = '0.002675 0.0 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.0 0.0'
end_point = '0.002675 0.0 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.0 0.0'
end_point = '0.002675 0.0 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.0 0.0'
end_point = '0.002675 0.0 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[]
[Outputs]
perf_graph = true
exodus = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
file_base = concentric
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_A/x441_leg_A.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2_1p5d_fr_frd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_191_part1_1p5d_fr_frd_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.57e-3
fuel_height = 0.265388558
plenum_height = 0.034861442
elem_type = EDGE3
nx_p = 11
pellet_mesh_density = customize
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[tangential_contact_pressure_aux]
block = fuel
[]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
# Add this to accident part
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain '
'axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress '
'creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
layer_friction_user_object = 1DFriction_secondary
temperature = temperature
out_of_plane_pressure_function = fuel_axial_pressure
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress '
'creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
layer_friction_user_object = 1DFriction_primary
temperature = temperature
out_of_plane_pressure_function = clad_axial_pressure
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
# Fuel dispersal
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
# We could have two element UOs to obtain interface stress
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
# Axial relocation object is created by axial relocation action
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
##
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
gap_thickness_threshold = 0.00005
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
n_startup_steps = 1
end_time = 166843509.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
layered = true
fuel_pin_geometry = fuel_pin_geometry
fuel_pellet_blocks = 'fuel'
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(examples/2D-RZ_rodlet_10pellets/smeared_cracking/SmearedCracking.i)
# This model is a higher order, smeared 10 pellet fuel stack (pellet).
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 10
pellet_height = 0.01186
pellet_outer_radius = 4.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
clad_gap_width = 160.0e-6
clad_thickness = 0.56e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 2.6e-2
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e08'
y = '0 2.5e4 2.5e04'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
verbose = false
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1.0e8
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[]
# [VectorPostprocessors]
# [clad]
# type = NodalValueSampler
# variable = disp_x
# boundary = 2
# sort_by = y
# outputs = 'outfile_clad_radial_displacement'
# []
# [pellet]
# type = NodalValueSampler
# variable = disp_x
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_radial_displacement'
# []
# []
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
# [outfile_clad_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
# [outfile_fuel_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
[]
(examples/TRISO/failure_probability_monte_carlo/triso_1d_function.i)
initial_fuel_density = 5
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
kernel_mesh_density = ${initial_fuel_density}
buffer_mesh_density = 3
IPyC_mesh_density = 5
SiC_mesh_density = 3
OPyC_mesh_density = 4
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
execute_on = 'INITIAL TIMESTEP_END'
[]
[sic_failure_terminator]
type = Terminator
expression = 'sic_failure_overall > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1403604095.0794'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 5.95176524e3 -2.25337303e8'
polynomial_coefficients_SiC = '1 1.43220859e4 -5.17689523e7'
polynomial_coefficients_OPyC = '1 -1.25870267e4 1.81620484e8'
correlation_factor = -1.2447543093270736
[]
[high_fidelity_strength_debonding]
type = ConstantFunction
value = '1705800293.3578'
[]
[stress_correlation_debonding]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -0.14916368684964607
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1371700806.9481'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 1.00595402e3 1.43530004e7'
polynomial_coefficients_SiC = '1 3.27925856e3 -2.02308753e8'
polynomial_coefficients_OPyC = '1 2.07404580e3 -6.12612615e6'
correlation_factor = 1.5191967993808713
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -5.81891553e3 -2.81628655e7'
polynomial_coefficients_SiC = '1 1.00990700e4 -5.55290343e8'
polynomial_coefficients_OPyC = '1 -3.59151050e3 -2.65952373e7'
correlation_factor = 1.3915168526633837
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_debonding]
type = TRISODebondingFailureIndicator
boundary = IPyC_outer_boundary
bond_strength = 10e6
stress_name = radial_stress
[]
[failure_indicator_SiC_debonding]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_debonding'
stress_correlation_function = 'stress_correlation_debonding'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
SiC_failure_kernel_migration = failure_indicator_kernel_migration
failure_type = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[debonding]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
IPyC_SiC_debonding = failure_indicator_debonding
SiC_failure_debonding = failure_indicator_SiC_debonding
failure_type = IPYC_SIC_DEBONDING
[]
[fluence_at_failure]
type = TRISOFailureOccurrenceStatus
failure_evaluation = ipyc_cracking
failure_information = max_fluence
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UCO
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator
kernel_migration_distance = kernel_migration_distance
triso_geometry = particle_geometry
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
exodus = false
perf_graph = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(assessment/TRISO/validation/AGR-34/Compacts/AGR-34_base.i)
initial_fuel_density = 11100.0
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.19717 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.430 # Initial Oxygen to Uranium atom ratio
C_U = 0.361 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 178.65e-6
buffer_thickness = 109.7e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 33.5e-6
OPyC_thickness = 41.3e-6
kernel_mesh_density = 18
buffer_mesh_density = 14
IPyC_mesh_density = 12
SiC_mesh_density = 16
OPyC_mesh_density = 16
block_names = 'fuel buffer IPyC SiC OPyC'
include_gap = false
kernel_bias = 0.8
buffer_bias = 1.25
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 888.5
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
[]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 4.2602e+19
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[]
[Kernels]
[heat_dt]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = 'fuel'
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = 'fuel'
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[]
[BCs]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 4.4440e+17
[]
### UCO fuel properties
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = 'fuel'
temperature = temperature
[]
[UCO_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1100.0
[]
[Buffer_density]
type = ParsedMaterial
block = buffer
property_name = density
expression = 1100.0
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = ParsedMaterial
block = IPyC
property_name = density
expression = 1904.0
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = ParsedMaterial
block = SiC
property_name = density
expression = 3200.0
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = ParsedMaterial
block = OPyC
property_name = density
expression = 1901.0
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Debug]
show_var_residual_norms = true
#show_var_residual = 'temperature conc_Ag conc_Cs conc_Sr'
show_var_residual = 'temperature'
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
# solve_type = 'NEWTON'
# petsc_options_iname = '-pc_type -snes_type'
# petsc_options_value = 'lu vinewtonrsls'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-6
nl_abs_tol = 1e-6
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 3.189024e7
dt = 10000
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
### Temperature
[temp_min]
type = NodalExtremeValue
variable = temperature
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[temp_max]
type = NodalExtremeValue
variable = temperature
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[console]
type = Console
time_step_interval = 1
#hide = 'release_Ag_inc release_Cs_inc release_Sr_inc'
[]
[exodus]
type = Exodus
file_base = COMPACT
[]
[release]
type = CSV
file_base = release_COMPACT
sort_columns = true
#show = 'release_Ag_inc released_Ag release_Cs_inc released_Cs release_Sr_inc released_Sr total_Ag total_Cs total_Sr x_Ag_released x_Cs_released x_Sr_released'
[]
[final_release]
type = CSV
file_base = final_release_COMPACT
sort_columns = true
#show = 'retained_Ag retained_Cs retained_Sr released_Ag released_Cs released_Sr total_Ag total_Cs total_Sr x_Ag_released x_Cs_released x_Sr_released'
execute_on = 'final'
[]
[]
(examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain_mortar/2D_discrete_finiteStrain_mortar.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
family = LAGRANGE
order = FIRST
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'temperature disp_x disp_y'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = always
patch_size = 100 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[file]
file = ../fine10_rz.e
type = FileMeshGenerator
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[disp_x]
block = 'pellet_type_1 clad'
[]
[disp_y]
block = 'pellet_type_1 clad'
[]
[]
[AuxVariables]
# Define auxilary variables
[pid]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ../powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ../peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
block = 'pellet_type_1 clad'
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
[]
[]
[Contact]
[mechanical]
model = frictionless
formulation = mortar
primary = 5
secondary = 10
c_normal = 1e+11
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[pidaux]
type = ProcessorIDAux
variable = pid
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160.0e-6
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temperature
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-13'
snesmf_reuse_base = false
line_search = 'none'
l_max_its = 20
l_tol = 8e-3
nl_max_its = 60
nl_rel_tol = 1e-4
nl_abs_tol = 1e-12 # LM
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
automatic_scaling = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 50
iteration_window = 2
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[contact_evolution]
type = NodalVariableValue
variable = mechanical_normal_lm
nodeid = 4533
[]
[temp_evolution]
type = NodalVariableValue
variable = temperature
nodeid = 4533
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
#[centerline_temp]
# type = SideAverageValue
# boundary = 12
# variable = temp
# execute_on = linear
#[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temp]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[temperature_post]
type = NodalValueSampler
variable = temperature
boundary = '10'
sort_by = y
[]
[contact_post]
type = NodalValueSampler
variable = mechanical_normal_lm
boundary = '10'
sort_by = y
[]
[disp_x]
type = NodalValueSampler
variable = disp_x
boundary = '10'
sort_by = y
[]
[disp_y]
type = NodalValueSampler
variable = disp_y
boundary = '10'
sort_by = y
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.021861442
pellet_height = 0.265388558
pellet_quantity = 1
clad_bot_gap_height = 0.01275
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 166842000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(workshop/bison_example/Discrete.i)
# This model is a higher order, discrete 10 pellet fuel stack (pellet_type_1).
[GlobalParams]
density = 10431.0
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = always
patch_size = 100 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[file]
file = discrete.e
type = FileMeshGenerator
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain
fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx
stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain
clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx
stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775
RPF = RPF
# N235 = N235
# N236 = N236
# N238 = N238
# N239 = N239
# N240 = N240
# N241 = N241
# N242 = N242
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160.0e-6
diameter = 0.0082
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = 10431.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[fuel_centerline_temp]
type = NodalVariableValue
variable = temp
nodeid = 2369
[]
[fuel_surface_mid_temp]
type = NodalVariableValue
variable = temp
nodeid = 2887
[]
[fuel_surface_ridge_temp]
type = NodalVariableValue
variable = temp
nodeid = 2862
[]
[clad_surface_temp]
type = NodalVariableValue
variable = temp
nodeid = 7322
[]
[penetration_mid]
type = NodalVariableValue
variable = penetration
nodeid = 2887
[]
[penetration_ridge]
type = NodalVariableValue
variable = penetration
nodeid = 2862
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[]
[VectorPostprocessors]
[clad]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'timestep_end'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(examples/3D_rodlet_3pellets/discrete_half_symm/3d_3pellets.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} #95% TD (TD = 10980)
displacements = 'disp_x disp_y disp_z'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y disp_z'
[]
[Mesh]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = DiscreteThreePellets3D.e
[]
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fission_rate]
block = 3
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 3
initial_condition = 5e-6
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[hoop_inelastic_strain]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[pid]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 25e3 # 25 kW/m peak power.
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_strain fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 2.49e-3
a_upper = 2.621e-2
fuel_inner_radius = 0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 3
value = 5.3548e+14
fission_rate_function = power_history
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 2.34e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gas_swell]
type = MaterialRealAux
block = 3
variable = gas_swell
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[hoop_inelastic_strain]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = hoop_inelastic_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[pid]
type = ProcessorIDAux
variable = pid
[]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
penalty = 1e14
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
gas_released = fis_gas_released_model
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1004
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_z_wedge]
type = DirichletBC
variable = disp_z
boundary = 99
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0.0
material_input = fis_gas_released_model
output_initial_moles = initial_moles
R = 8.3143
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # PA
inlet_massflux = 3880 # kg/m^2-sec
rod_diameter = 0.95e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.00836
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =50.0e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.02
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
temperature = temp
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_strain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = 1
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
start_time = -200
dtmax = 1.0e6
dtmin = 1.0
end_time = 3.0e7
automatic_scaling = true
compute_scaling_once = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
optimal_iterations = 15
iteration_window = 3
growth_factor = 2.0
cutback_factor = 0.5
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
scale_factor = 2.0 # Half-Symmetry Model Correction
execute_on = 'INITIAL TIMESTEP_END'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
scale_factor = 2.0 # Half-Symmetry Model Correction
execute_on = 'INITIAL TIMESTEP_END'
[]
[gas_volume]
type = InternalVolume
boundary = 9
scale_factor = 2.0 # Half-Symmetry Model Correction
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced_model]
type = ElementIntegralFisGasGeneratedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # Scaled PostProcessor for Half-Symmetry Model
type = ScalePostprocessor
value = fis_gas_produced_model
scaling_factor = 2.0
execute_on = 'initial timestep_end'
[]
[fis_gas_released_model]
type = ElementIntegralFisGasReleasedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fission_gas_released] # Scaled PostProcessor for Half-Symmetry Model
type = ScalePostprocessor
value = fis_gas_released_model
scaling_factor = 2.0
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
execute_on = 'initial timestep_end'
[]
[flux_from_clad_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_clad] # Scaled PostProcessor for Half-Symmetry Model
type = ScalePostprocessor
value = flux_from_clad_model
scaling_factor = 2.0
execute_on = 'initial timestep_end'
[]
[flux_from_fuel_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # Scaled PostProcessor for Half-Symmetry Model
type = ScalePostprocessor
value = flux_from_fuel_model
scaling_factor = 2.0
execute_on = 'initial timestep_end'
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
execute_on = 'initial timestep_end'
[]
[rod_total_power_model]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
execute_on = 'initial timestep_end'
[]
[rod_total_power] # Scaled PostProcessor for Half-Symmetry Model
type = ScalePostprocessor
value = rod_total_power_model
scaling_factor = 2.0
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.03
execute_on = 'initial timestep_end'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'plenum_pressure interior_temp gas_volume'
[]
[]
(assessment/TRISO/validation/AGR-1/AGR-1_base.i)
#COMPACT = <compact_id>
#DATA_FILE = <data_file_name>
# Definition of the mass source due to impurities in the OPyC layer.
#value = impurities * vol_kernel / vol_opyc
#value = 1.59e-6 * 4.07e-11 / 9.16e-11 # for UCO => 7.06e-7
#value = 1.57e-6 * 6.85e-11 / 1.18e-10 # for UO2 => 9.11e-7
mass_source_property_OPyC = 7.06e-7 # Default = UCO fuel kernel
initial_fuel_density = 10400
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.19736 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.3613 # Initial Oxygen to Uranium atom ratio
C_U = 0.3253 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 175e-6
buffer_thickness = 100e-6
IPyC_thickness = 40e-6
SiC_thickness = 35e-6
OPyC_thickness = 40e-6
kernel_mesh_density = 18
buffer_mesh_density = 14
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
block_names = 'fuel buffer IPyC SiC OPyC'
include_gap = false
kernel_bias = 0.8
buffer_bias = 1.25
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 923.15
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc_file]
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
[]
[temp_bc_safety]
type = ParsedFunction
symbol_names = 'test_temperature'
symbol_values = '1873.15'
expression = 'start := 55209600+1800;
ramp1 := 120.0/3600.0;
ramp2 := 120.0/3600.0;
ramp3 := 50.0/3600.0;
ramp4 := -600.0/3600.0;
room := 303.15;
plateau1 := 673.15;
plateau2 := 1523.15;
hold1 := 7200;
hold2 := 43200;
hold3 := 1080000;
ramp_time1 := (plateau1-room)/ramp1;
ramp_time2 := (plateau2-plateau1)/ramp2;
ramp_time3 := (test_temperature-plateau2)/ramp3;
ramp_time4 := (room-test_temperature)/ramp4;
t1 := start+ramp_time1;
t2 := t1+hold1;
t3 := t2+ramp_time2;
t4 := t3+hold2;
t5 := t4+ramp_time3;
t6 := t5+hold3;
t7 := t6+ramp_time4;
if(t<start,room,
if(t<t1,room+(t-start)*ramp1,
if(t<t2,plateau1,
if(t<t3,plateau1+(t-t2)*ramp2,
if(t<t4,plateau2,
if(t<t5,plateau2+(t-t4)*ramp3,
if(t<t6,test_temperature,
if(t<t7,test_temperature+(t-t6)*ramp4,
room))))))))'
[]
[temp_bc]
type = ParsedFunction
symbol_names = 'tbcf tbcs'
symbol_values = 'temp_bc_file temp_bc_safety'
expression = 'if(t<=55209600,tbcf,tbcs)'
[]
[power_history] # W/m^3
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 2
xy_in_file_only = false
format = columns
[]
[fast_neutron_fluence]
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 3
xy_in_file_only = false
format = columns
[]
[fission_rate_from_power]
type = LinearCombinationFunction
functions = power_history
# W/m^3 / (1.602e-13 J/MeV) / (200 MeV/fission)
w = 3.1211e10
[]
[fission_rate]
type = ParsedFunction
symbol_names = 'fr'
symbol_values = 'fission_rate_from_power'
expression = 'if(t<=55209600,fr,0)'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[]
[Kernels]
[heat_dt]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[density]
type = MaterialRealAux
variable = density
property = density
block = 'fuel buffer IPyC SiC OPyC'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[]
[BCs]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_fluence]
type = GenericFunctionMaterial
prop_names = fast_neutron_fluence
prop_values = fast_neutron_fluence
[]
### UCO fuel properties
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_density]
type = ParsedMaterial
block = fuel
property_name= density
expression = ${initial_fuel_density}
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[Buffer_density]
type = ParsedMaterial
block = buffer
property_name= density
expression = 1050.0
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = ParsedMaterial
block = IPyC
property_name= density
expression = 1900.0
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = ParsedMaterial
block = SiC
property_name = density
expression = 3200.0
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = ParsedMaterial
block = OPyC
property_name= density
expression = 1900.0
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature'
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK' # Shall we switch to 'Newton'?
# solve_type = 'Newton'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-6
nl_abs_tol = 1e-12
nl_max_its = 50
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 55209600
num_steps = 1500
dt = 86400
dtmax = 86400
dtmin = 100
[TimeStepper]
type = FunctionDT
function = 'if(t<55209600,86400,1800)'
[]
automatic_scaling = true
compute_scaling_once = false
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
### Temperature
[temp_min]
type = NodalExtremeValue
variable = temperature
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[temp_max]
type = NodalExtremeValue
variable = temperature
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[console]
type = Console
time_step_interval = 1
[]
[exodus]
type = Exodus
file_base = COMPACT
[]
[release]
type = CSV
file_base = release_COMPACT
sort_columns = true
[]
[final_release]
type = CSV
file_base = final_release_COMPACT
sort_columns = true
execute_on = 'final'
[]
[]
(assessment/LWR/validation/FUMEXII_Regate/analysis/discrete/Regate_discrete.i)
initial_fuel_density = 10360
[GlobalParams]
density = ${initial_fuel_density}
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = regate_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.675e-6
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = regate_linear_power.csv
scale_factor = 1
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = regate_axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 98406792 98407164 98407291 98407445 99578736 99580326'
y = '0.00654 1 1 0.00654 0.00654 0.839 0.839 0.00654'
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = regate_cladding_temperature.csv
scale_factor = 1
format = columns
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
data_file = regate_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_zz
creep_strain_xx elastic_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
factor = 1
function = fast_neutron_flux_function
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_lower = 0.00324
a_upper = 0.4444
fuel_inner_radius = 0
fuel_outer_radius = 0.004096
fuel_volume_ratio = 1
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_wall_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.5e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10360
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
initial_porosity = 0.05246
block = 3
temperature = temp
burnup_function = burnup
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 293.0
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.008192
diametral_gap =1.68e-5
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.015
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='clad_creep_stress plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[plasticity]
type = IsotropicPlasticityStressUpdate
block = 1
yield_stress = 500e6
hardening_constant = 2.5e9
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-4
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 99580326
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
optimal_iterations = 12
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
sync_times = '98407291'
[console]
type = Console
max_rows = 30
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/triso/kernel_migration/kernel_migration_distance.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 1573 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 1573
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 1573
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-9
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmin = 1e-4
dt = 1e4
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress_max]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = stress_yy
[]
[SiC_stress_min]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UO2
[]
[]
[Outputs]
show = 'kernel_migration_distance'
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
[]
(test/tests/triso/mesh/ipyc_crack.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 2.1335e-4 3.1225e-4 3.1225e-4 3.5265e-4 3.8785e-4 4.3415e-4'
mesh_density = '3 3 0 3 4 3'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 20
aspect_ratio = 1.0
all_bottom_left = true
[]
[]
[XFEM]
qrule = volfrac
output_cut_plane = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[ipyc_crack]
type = LineSegmentCutUserObject
cut_data = '0.0000 0.0 0.001 0.0'
time_start_cut = 0.0
time_end_cut = 0.0
block = IPyC
[]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = 'gen'
[]
[]
[Variables]
[temperature]
initial_condition = 650
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
temperature = temperature
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 2004 2005'
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 650
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-10
nl_abs_tol = 5e-11
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
num_steps = 2
dtmin = 1e-4
dt = 1e4
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_2DRZ_t.i)
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.002675
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000105
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.1372
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 11057.75
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 12e-06
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm002_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(examples/accident_tolerant_fuel/uo2_coated_zircaloy/uo2_coated_zircaloy.i)
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.026
pellet_height = 0.1186
pellet_quantity = 1
clad_bot_gap_height = 0
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
coating_thickness = 40e-6
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 3
ny_c = 40
nx_p = 11
ny_p = 40
nx_coating = 2
elem_type = QUAD8
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 293.0
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_inner_wall = 5
clad_outer_wall = 2
clad_top = 3
clad_bottom = 1
pellet_exteriors = 8
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e4 1e8'
y = '0 2.5e4 2.5e4'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '6.537e-3 1 1'
scale_factor = 15.5e6
[]
[mass_flux_func]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '3800. 3800. 3800.'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[coating]
block = coating
strain = FINITE
eigenstrain_names = 'coating_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = total_hoop_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[creep_strain_hoop]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
scalar_type = HoopStress
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
normal_smoothing_distance = 0.1
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580
inlet_pressure = pressure_ramp
inlet_massflux = mass_flux_func
rod_diameter = 9.54e-3
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
# Fuel
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
burnup_function = burnup
temperature = temperature
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = 'pin_geometry'
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
# Clad
[clad_thermal]
type = ZryThermal
temperature = temperature
block = clad
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_plasticity'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 1e-4
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_plasticity]
type = ZryPlasticityUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = 0.5
plasticity_model_type = MATPRO
zircaloy_alloy_type = 4
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6511.0
[]
# Coating
[coat_thermal]
type = ChromiumThermal
block = coating
temperature = temperature
[]
[coating_elasticity_tensor]
type = ChromiumElasticityTensor
temperature = temperature
block = coating
[]
[coat_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'coat_creep coat_plasticity'
block = coating
[]
[coat_creep]
type = ChromiumCreepUpdate
temperature = temperature
block = coating
[]
[coat_plasticity]
type = ChromiumPlasticityUpdate
temperature = temperature
block = coating
fast_neutron_fluence = 0.0
hardening_constant = 2e9
[]
[coat_thermal_expansion]
type = ChromiumThermalExpansionEigenstrain
block = coating
temperature = temperature
stress_free_temperature = 293.0
eigenstrain_name = coating_thermal_eigenstrain
[]
[density_coat]
type = StrainAdjustedDensity
block = coating
strain_free_density = 7190.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200.0
min_value = 293.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 5e7
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 5e5
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2.0
timestep_limiting_postprocessor = material_timestep
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temperature
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[alhr_input]
type = FunctionValuePostprocessor
function = power_history
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[oxide_thickness]
type = ElementExtremeValue
block = clad
variable = oxide_thickness
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
csv = true
print_linear_residuals = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1_1p5d_fr_ffrd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 80e-6
plenum_height = 0.0393576
pellet_outer_radius = 3.92e-3
clad_thickness = 0.57e-3
fuel_height = 0.2606424
# nx_c = 2
# nx_p = 11
elem_type = EDGE3
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[tangential_contact_pressure_aux]
block = fuel
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = fuel_axial_pressure
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = clad_axial_pressure
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished fuels (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
# [fuel_pin_geometry]
# type = Layered1DFuelPinGeometry
# mesh_generator = layered1D_mesh
# []
[terminator]
type = Terminator
expression = 'burst > 0'
[]
# We could have two element UOs to obtain interface stress
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.24761028
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
# [uo2_pulverization]
# type = UO2Pulverization
# block = fuel
# layered_average_contact_pressure = contact_pressure
# temperature = temperature
# burnup_function = burnup
# output_properties = pulverized
# outputs = all
# []
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
# [fuel_relocation]
# type = UO2RelocationEigenstrain
# block = fuel
# burnup_function = burnup
# fuel_pin_geometry = fuel_pin_geometry
# rod_ave_lin_pow = power_history
# axial_power_profile = axial_peaking_factors
# burnup_relocation_stop = 0.024
# relocation_activation1 = 5000
# relocation_model = ESCORE_modified
# eigenstrain_name = fuel_relocation_eigenstrain
# []
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
# CHANGE
gap_thickness_threshold = 0.000050
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 95032000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
layered = true
fuel_pin_geometry = fuel_pin_geometry
fuel_pellet_blocks = 'fuel'
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_F/x441_leg_F.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ022/TSQ022.i)
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = tsq022_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[grain_radius]
block = pellet_type_1
initial_condition = 8.892e-6 # ((11.1+10.9+12.2)/3)/2*1.56
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = TSQ022_alhr.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = TSQ022_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 141789874 141793474' # -100 @ 101326 Pa, 0 to 141789874 @ 15.517 MPa, 141793474 @ 101326 Pa
y = '.00653 1 1 .00653'
[]
[flux]
type = PiecewiseLinear
data_file = TSQ022_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = TSQ022_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
type = PiecewiseBilinear
data_file = TSQ022_clad_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = false
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_yy creep_strain_xy creep_strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
a_lower = 0.00324
a_upper = 3.81705
fuel_outer_radius = 0.0041275
fuel_inner_radius = 0.0011684
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
penalty = 1e9
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10
initial_moles = initial_moles
primary = 5
gas_released = fission_gas_released
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.517e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.008255
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =0.0001778
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
initial_porosity = 0.05
burnup = burnup
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 20.0
variable = temp
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 141793474 #141789874+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81381 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
nodeid = 30330 #coords (0.0011684, 2.10133)
variable = temp
execute_on = 'initial timestep_end'
[]
[FCT_slice4]
type = NodalVariableValue
nodeid = 37085 #coords (0.0011684, 1.71896)
variable = temp
execute_on = 'initial timestep_end'
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = pellet_type_1
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[gap_slice6]
type = NodalVariableValue
variable = penetration
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[gap_slice4]
type = NodalVariableValue
variable = penetration
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[contact_pressure_slice6]
type = NodalVariableValue
variable = contact_pressure
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[contact_pressure_slice4]
type = NodalVariableValue
variable = contact_pressure
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet_type_1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1_1p5d_fr_frd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.57e-3
fuel_height = 0.265388558
plenum_height = 0.034861442
elem_type = EDGE3
nx_p = 11
pellet_mesh_density = customize
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
# Define auxilary variables
[tangential_contact_pressure_aux]
block = fuel
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
layer_friction_user_object = 1DFriction_secondary
out_of_plane_pressure_function = fuel_axial_pressure
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
layer_friction_user_object = 1DFriction_primary
out_of_plane_pressure_function = clad_axial_pressure
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
# Fuel dispersal
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
# We could have two element UOs to obtain interface stress
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
# CHANGE
gap_thickness_threshold = 0.000050
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 166842000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
layered = true
fuel_pin_geometry = fuel_pin_geometry
fuel_pellet_blocks = 'fuel'
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(test/tests/upuzr_fission_rate/exact.i)
# This test is to verify the implementation of UPuZrFissionRate.
# The rod power, axial power, and axial plutonium profiles are given as functions.
# UPuZrFissionRate calculates the fission rate as a function of rod power vs time,
# axial power profile vs y (or z axis in 2DRZ), and a correction factor dependent
# on the zirconium and plutonium concentration. The zirconium correction is given as
# a function of the current value of zirconium at the qp, and the axial profile of
# plutonium. Zirconium is moved along the pin using a dummy Soret kernel, assuring
# that the total zirconium in the system stays constant.
#
# Power conservation is ensured by comparing ElementIntegralPower and the linear
# power profile.
#
# Close agreement is found with the analytical solution, although not perfect due
# to complications with the non-linearity of zirconium and the qp vs elemental
# evaluation.
#
# +----------------+----------------+----------------+----------------+----------------+----------------+-----------------------+----------------+----------------+
# | time | X_Zr | X_Zr_avg | axial_plutonium| axial_power | fission_rate | integral_fission_rate | integral_power | linear_power |
# +----------------+----------------+----------------+----------------+----------------+----------------+-----------------------+----------------+----------------+
# | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 |
# | 1.000000e+00 | 2.043914e-01 | 2.000000e-01 | 2.028750e-02 | 9.600000e-01 | 1.519958e+03 | 5.000000e-01 | 5.000000e+01 | 5.000000e+01 |
# | 2.000000e+00 | 2.088522e-01 | 2.000000e-01 | 4.057500e-02 | 9.600000e-01 | 3.024302e+03 | 1.000000e+00 | 1.000000e+02 | 1.000000e+02 |
# | 3.000000e+00 | 2.133831e-01 | 2.000000e-01 | 6.086250e-02 | 9.600000e-01 | 2.407151e+03 | 8.000000e-01 | 8.000000e+01 | 8.000000e+01 |
# | 4.000000e+00 | 2.179849e-01 | 2.000000e-01 | 8.115000e-02 | 9.600000e-01 | 2.694454e+03 | 9.000000e-01 | 9.000000e+01 | 9.000000e+01 |
# | 5.000000e+00 | 2.226583e-01 | 2.000000e-01 | 1.014375e-01 | 9.600000e-01 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 |
# +----------------+----------------+----------------+----------------+----------------+----------------+-----------------------+----------------+----------------+
pellet_radius = 0.01
energy_per_fission = 100
initial_X_Zr = 0.2
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[AuxVariables]
[temp]
[]
[X_Zr_elemental]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[temp_aux]
type = FunctionAux
variable = temp
function = '100 + 10000 * x'
[]
[X_Zr_elemental_aux]
type = ParsedAux
variable = X_Zr_elemental
coupled_variables = X_Zr
expression = X_Zr
[]
[]
[Variables]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = TimeDerivative
variable = X_Zr
[]
[diff]
type = MatDiffusion
variable = X_Zr
diffusivity = 1e-6
[]
[soret]
type = ThermoDiffusion
variable = X_Zr
temp = temp
mass_diffusivity = 1e-4
heat_of_transport = 1
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.5 1'
y = '0.9 1.1 0.9'
[]
[pu_profile]
type = ParsedFunction
expression = '(-0.325 * y * y + 0.725 * y) * t / 5'
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = ${initial_X_Zr}
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = ${energy_per_fission}
coeffs = '0.9 -1.2'
pellet_radius = ${pellet_radius}
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
num_steps = 5
[]
[Postprocessors]
[X_Zr]
type = PointValue
variable = X_Zr_elemental
point = '0.00055 0.15 0'
[]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[axial_plutonium]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = pu_profile
[]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[fission_rate_exact]
type = ParsedPostprocessor
pp_names = 'axial_power linear_power axial_plutonium X_Zr'
expression = 'correction := 1 / ${pellet_radius}^2 / ${energy_per_fission} / 3.1415926535;
zr_fcn_dZr := 0.9 * axial_plutonium - 1.2;
correction * axial_power * linear_power * (zr_fcn_dZr * (X_Zr - ${initial_X_Zr}) + 1)'
[]
[fission_rate_diff]
type = ParsedPostprocessor
pp_names = 'fission_rate_exact fission_rate'
expression = '(fission_rate_exact - fission_rate) / fission_rate_exact'
outputs = none
[]
[fission_rate_max_diff]
type = TimeExtremeValue
postprocessor = 'fission_rate_diff'
value_type = abs_max
[]
[]
[Outputs]
csv = true
[]
(assessment/metallic_fuel/WPF/analysis/FM-1/FM_base.i)
# FM-1 Base Input File
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# calculations
cladding_ir = '${fparse fuel_radius + cladding_gap_width}'
gas_plenum_height = '${fparse plenum_volume / pi / cladding_ir^2}'
fuel_y_start = '${fparse gap_bottom_length + top_bot_cladding_height}'
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
cladding_block = 'cladding cladding_tri'
y_tc1 = '${fparse 2.55e-3+22.0*0.0254}'
y_tc2 = '${fparse y_tc1-4.5*0.0254}'
y_tc3 = '${fparse y_tc2-3.5*0.0254}'
y_tc4 = '${fparse y_tc3-2.0*0.0254}'
y_tc5 = '${fparse y_tc4-3.0*0.0254}'
y_tc6 = '${fparse y_tc1-4.0*0.0254}'
x_tc = 0.002920
p_tc1 = '${x_tc} ${y_tc1} 0.0'
p_tc2 = '${x_tc} ${y_tc2} 0.0'
p_tc3 = '${x_tc} ${y_tc3} 0.0'
p_tc4 = '${x_tc} ${y_tc4} 0.0'
p_tc5 = '${x_tc} ${y_tc5} 0.0'
p_tc6 = '${x_tc} ${y_tc6} 0.0'
# A relatively coarse radial mesh density can be used
# since localized refining is done by TRI3 elements
clad_n_rad = 10
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = ${clad_n_rad}
cladding_sidewall_axial_element_intervals = '0 0.540 0.625 1.0'
cladding_sidewall_axial_element_numbers = '150 1000 150'
use_tri_for_cladding_sidewall = '0 1 0'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 10
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '1000'
tri_element_size_factor = 0.4
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 40
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel ${cladding_block} cap stand'
[]
[disp_x]
block = 'fuel ${cladding_block} cap stand'
[]
[disp_y]
block = 'fuel ${cladding_block} cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors]
type = ConstantFunction
value = 0.0
[]
[fflux_axial_peaking_factors_elongate]
type = ConstantFunction
value = 0.0
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = ConstantFunction
value = 0.0
[]
[clad_od_temp]
type = PiecewiseBilinear
data_file = './data/temp_hist.csv'
xaxis = 1
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1012 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors_extended]
type = ConstantFunction
value = 0.0
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} ${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / (disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_pen_total
argument_column = y
wastage_type = ID
value_column = total_id_reduction
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[fuel_melt_func]
type = MetallicFuelMeltingFunction
vectorpostprocessor_name = fuel_melting
argument_column = y
value_column = fuel_melting_thickness
use_metadata = true
mesh_generator = 'gen'
transition_width = 2e-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = '${cladding_block}'
eigenstrain_names = 'cladding_thermal_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel ${cladding_block}'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = ' cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = ${cladding_block}
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = '${fparse 1e17 * magic_factor}'
c_tangential = '${fparse 1e19 * magic_factor}'
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 1378.95 # in Pa, 0.2 psia as measured by transducer
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = ADFunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[dummy_hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[func_val1]
[]
[func_val2]
[]
[func_val3]
[]
# OPTD Active during this stage
[pen_thick_aux]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[total_id_reduction]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[fast_neutron_fluence_aux]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[]
[AuxKernels]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = 'cladding cladding_tri'
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = 'cladding cladding_tri'
[]
[func_val3]
type = FunctionAux
function = fuel_melt_func
variable = func_val3
block = fuel
[]
[cdf_amount]
block = '${cladding_block}'
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[relx_aux]
type = ParsedAux
variable = relx
block = fuel
use_xyzt = true
expression = 'x / ${fuel_radius}'
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
#OPTD
[assign_pen_thick_aux]
type = ADMaterialRealAux
variable = pen_thick_aux
property = liquid_penetration
block = 'fuel ${cladding_block}'
[]
[assign_total_id_reduction]
type = ParsedAux
variable = total_id_reduction
coupled_variables = 'pen_thick_aux wastage_thickness'
expression = 'pen_thick_aux + wastage_thickness'
block = 'fuel ${cladding_block}'
[]
[]
[Materials]
[fuel_pen]
type = ADMetallicFuelLiquidCladdingPenetration
temperature = temp
mesh_generator = gen
fuel_elongation_pp = max_fuel_elongation
liquid_penetration_model = 'ANL_CONSERVATIVE'
fuel_pu = Pu_0
burnup = burnup
outputs = all
calculate_fuel_melting_thickness = true
block = 'fuel ${cladding_block}'
[]
[longHT9_failure]
type = HT9FailureClad
block = '${cladding_block}'
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = '${cladding_block}'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = ${X_Pu}
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${X_Pu}
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = '${cladding_block}'
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-1
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
fuel_melting_function = fuel_melt_func
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = '${cladding_block}'
factor = 1.0
outputs = all
[]
[cladding_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
block = '${cladding_block}'
outputs = all
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
output_properties = 'youngs_modulus poissons_ratio'
[]
[cladding_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'cladding_creep'
block = '${cladding_block}'
outputs = all
[]
[cladding_creep]
type = ADHT9CreepUpdate
block = '${cladding_block}'
temperature = temp
outputs = all
primary_creep_model = MFH
secondary_creep_model = MFH
irradiation_creep_model = MFH
fast_neutron_flux = fast_neutron_flux
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = '${cladding_block}'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[cladding_thermal]
type = ADHT9Thermal
block = '${cladding_block}'
temperature = temp
outputs = all
[]
[cladding_density]
type = ADStrainAdjustedDensity
block = '${cladding_block}'
strain_free_density = '${clad_density}'
outputs = all
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-3
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 100
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 100
nl_rel_tol = 5e-6
nl_abs_tol = 5e-9
end_time = '${fparse run_time + total_transient_time}'
dtmin = 1e-5
dtmax = 5.0
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = actual_cladding_time_step_limit
dt = 0.01
iteration_window = 4
optimal_iterations = 10
cutback_factor_at_failure = 0.9
growth_factor = 2
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[_transient_t]
type = ParsedPostprocessor
pp_names = ''
expression = 't-t0'
use_t = true
constant_names = 't0'
constant_expressions = '${run_time}'
[]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = SideAverageValue
boundary = 'gas_height cladding_inside_top'
variable = temp
execute_on = 'initial timestep_end'
[]
# Beyond gap closure, sodium temperarture is almost the same as the cap.
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = '${cladding_block}'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = '${cladding_block}'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel ${cladding_block}'
outputs = none
[]
[actual_fuel_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel'
outputs = 'console'
[]
[actual_cladding_time_step_limit]
type = MaterialTimeStepPostprocessor
block = '${cladding_block}'
outputs = 'console'
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
[]
[max_wst_temp]
type = ElementExtremeValue
value_type = max
variable = temp
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_wst_burnup]
type = ElementExtremeValue
value_type = max
variable = burnup
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
# OPTD
[temp_tc1]
type = PointValue
point = ${p_tc1}
variable = temp
[]
[temp_tc2]
type = PointValue
point = ${p_tc2}
variable = temp
[]
[temp_tc3]
type = PointValue
point = ${p_tc3}
variable = temp
[]
[temp_tc4]
type = PointValue
point = ${p_tc4}
variable = temp
[]
[temp_tc5]
type = PointValue
point = ${p_tc5}
variable = temp
[]
[temp_tc6]
type = PointValue
point = ${p_tc6}
variable = temp
[]
[max_vm]
type = ElementExtremeValue
value_type = max
block = cladding
variable = vonmises_stress
[]
[max_pen_total]
type = VectorPostprocessorReductionValue
vector_name = total_id_reduction
vectorpostprocessor = id_pen_total
value_type = max
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[id_pen_total]
type = FuelRodLineValueSampler
variable = total_id_reduction
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[fuel_melting]
type = FuelRodLineValueSampler
variable = fuel_melting_thickness
material = 'fuel'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
print_linear_residuals = true
color = true
perf_graph = true
sync_times = ${time_spots}
[checkpoint]
type = Checkpoint
time_step_interval = 1
enable = false
[]
[exodus]
type = Exodus
time_step_interval = 500
sync_times = ${time_spots}
enable = false
[]
[ext]
type = Exodus
time_step_interval = 5
enable = true
[]
[console]
type = Console
show = 'time_step_size temp_fuel_avg temp_fuel_centerline_max temp_cladding_avg temp_cladding_max stress_vonmises_fuel_max stress_hydro_fuel_max stress_hydro_fuel_min contact_pressure_max strain_axial_fuel_avg power_integral burnup_avg fission_rate_avg fg_percent porosity_fuel_avg time_step_limit anisotropic_swelling_factor plenum_ratio volume_fuel volume_plenum max_wastagethickness temp_tc1 temp_tc2 temp_tc3 temp_tc4 temp_tc5 temp_tc6 _transient_t max_vm max_pen_total actual_fuel_time_step_limit actual_cladding_time_step_limit max_cdf'
[]
[csv_general]
type = CSV
file_base = 'FM-1/FM-1_csv_general'
[]
[csv_gold]
type = CSV
show = 'temp_tc1 temp_tc2 temp_tc3 temp_tc4 temp_tc5 temp_tc6 _transient_t max_vm max_pen_total max_cdf'
sync_only = true
sync_times = '${fparse run_time+10} ${fparse run_time+20} ${fparse run_time+50} ${fparse run_time+100} ${fparse run_time+200}
${fparse run_time+500} ${fparse run_time+1000} ${fparse run_time+2000} ${fparse run_time+3000} ${fparse run_time+4000}
${fparse run_time+5000} ${fparse run_time+6000}'
file_base = 'FM-1/FM-1_gold'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/upuzr_fission_rate/exact_constant.i)
# This test is to verify the implementation of UPuZrFissionRate.
# The rod power, axial power, and axial plutonium profiles are given as functions.
# UPuZrFissionRate calculates the fission rate as a function of rod power vs time,
# axial power profile vs y (or z axis in 2DRZ), and a correction factor dependent
# on the zirconium and plutonium concentration. The zirconium correction is given as
# a function of the current value of zirconium at the qp, and the axial profile of
# plutonium. Zirconium is moved along the pin using a dummy Soret kernel, assuring
# that the total zirconium in the system stays constant.
#
# Power conservation is ensured by comparing ElementIntegralPower and the linear
# power profile.
#
# Close agreement is found with the analytical solution, although not perfect due
# to complications with the non-linearity of zirconium and the qp vs elemental
# evaluation.
#
# +----------------+----------------+----------------+----------------+----------------+----------------+-----------------------+----------------+----------------+
# | time | X_Zr | X_Zr_avg | axial_plutonium| axial_power | fission_rate | integral_fission_rate | integral_power | linear_power |
# +----------------+----------------+----------------+----------------+----------------+----------------+-----------------------+----------------+----------------+
# | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 |
# | 1.000000e+00 | 2.043914e-01 | 2.000000e-01 | 2.028750e-02 | 9.600000e-01 | 1.519958e+03 | 5.000000e-01 | 5.000000e+01 | 5.000000e+01 |
# | 2.000000e+00 | 2.088522e-01 | 2.000000e-01 | 4.057500e-02 | 9.600000e-01 | 3.024302e+03 | 1.000000e+00 | 1.000000e+02 | 1.000000e+02 |
# | 3.000000e+00 | 2.133831e-01 | 2.000000e-01 | 6.086250e-02 | 9.600000e-01 | 2.407151e+03 | 8.000000e-01 | 8.000000e+01 | 8.000000e+01 |
# | 4.000000e+00 | 2.179849e-01 | 2.000000e-01 | 8.115000e-02 | 9.600000e-01 | 2.694454e+03 | 9.000000e-01 | 9.000000e+01 | 9.000000e+01 |
# | 5.000000e+00 | 2.226583e-01 | 2.000000e-01 | 1.014375e-01 | 9.600000e-01 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 | 0.000000e+00 |
# +----------------+----------------+----------------+----------------+----------------+----------------+-----------------------+----------------+----------------+
pellet_radius = 0.01
energy_per_fission = 100
initial_X_Zr = 0.2
[Problem]
solve = false
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[AuxVariables]
[temp]
[]
[X_Zr_elemental]
family = MONOMIAL
order = CONSTANT
[]
[X_Zr]
initial_condition = 0.2
[]
[]
[AuxKernels]
[temp_aux]
type = FunctionAux
variable = temp
function = '100 + 10000 * x'
[]
[X_Zr_elemental_aux]
type = ParsedAux
variable = X_Zr_elemental
coupled_variables = X_Zr
expression = X_Zr
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.5 1'
y = '0.9 1.1 0.9'
[]
[pu_profile]
type = ParsedFunction
expression = '(-0.325 * y * y + 0.725 * y) * t / 5'
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = ${initial_X_Zr}
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = ${energy_per_fission}
coeffs = '0.9 -1.2'
pellet_radius = ${pellet_radius}
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
num_steps = 5
[]
[Postprocessors]
[X_Zr]
type = PointValue
variable = X_Zr_elemental
point = '0.00055 0.15 0'
[]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[axial_plutonium]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = pu_profile
[]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[fission_rate_exact]
type = ParsedPostprocessor
pp_names = 'axial_power linear_power axial_plutonium X_Zr'
expression = 'correction := 1 / ${pellet_radius}^2 / ${energy_per_fission} / 3.1415926535;
zr_fcn_dZr := 0.9 * axial_plutonium - 1.2;
correction * axial_power * linear_power * (zr_fcn_dZr * (X_Zr - ${initial_X_Zr}) + 1)'
[]
[fission_rate_diff]
type = ParsedPostprocessor
pp_names = 'fission_rate_exact fission_rate'
expression = '(fission_rate_exact - fission_rate) / fission_rate_exact'
outputs = none
[]
[fission_rate_max_diff]
type = TimeExtremeValue
postprocessor = 'fission_rate_diff'
value_type = abs_max
[]
[]
[Outputs]
csv = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/x441_base_legacy_swell.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_2DRZ_t.i)
initial_fuel_density = 11172.82
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.00008
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.1409
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.961
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
#outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.97
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 11172.82
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 11e-06
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
# variable = temp
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm003_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/Riso_GE7_ZX115/analysis/Riso_GE7_discrete.i)
id = Riso_GE7_discrete
# Rod geometry
patch_size = 10
nodeid_1 = 3063 #coords (0.005205, 0.340342)
nodeid_2 = 3063 #coords (0.005205, 0.340342)
nodeid_3 = 3041 #coords (0.0, 0.340252)
blocks_fuel = pellet_type_1
blocks_all = 'pellet_type_1 clad'
fuel_volume_ratio = 1.0
num_radial_burnup = 80
bias_radial_burnup = 1
num_axial_burnup = 11
a_upper = 0.76446 # m
a_lower = 0.01494 # m
number_pellets = 72 # based on existing discrete mesh
fuel_inner_radius = 0 # m
fuel_outer_radius = 0.005205 # m
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
fuel_diameter = 0.01041 # m
diametral_gap = 220.0e-6 # m
# Fuel material properties
initial_fuel_density = 10431.0 # kg/m^3 (TD assumed: 10960 kg/m^3)
initial_grain_radius = 9.4e-6 # from Riso GE7 report, Table 2-1, R = 1.56*l/2, l is 2D average size, Mendelson, J.Am.Cerm.Soc.(1969) eqn 13
initial_fuel_porosity = 0.05 # (-)
fuel_thermal_expansion_coeff = 10.0e-06 # K^-1
# Cladding material properties
cladding_density = 6551.0 # kg/m^3
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
startup_time = 0 # s
# end_time_base_irradiation = 161756676 # s End of base irradiation
end_time = 161814651 # Whole power history, rounded to dtmin
# Numerical options
damper_max_temperature_increment = 50.0 # K
l_max_its = 40
l_tol = 1e-4
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100 # s
dtmax = 1e6 # s
dtmin = 1 # s
TimeStepper_dt = 100 # s
TimeStepper_optimal_iterations = 200
TimeStepper_iteration_window = 2
TimeStepper_linear_iteration_ratio = 100
n_startup_steps = 0
# Temperature conditions
initial_temperature = 293 # K
stress_free_temperature = 293.15 # K
initial_plenum_pressure = 0.29e6 # Pa
power_history_scale_factor = 1
# Neutronics, power, and isotope fractions
energy_per_fission = 3.28451e-11 # J/fission
fast_neutron_flux_factor = 1 # (-)
isotope_fraction_U235 = 0.0295
isotope_fraction_U238 = 0.9705
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Contact parameters
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
roughness_secondary = 1.0e-6
roughness_primary = 2.0e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
# Outputs
chkfile_show = 'average_burnup fission_gas_released_percentage FCT rod_ave_lin_pow'
sync_times = '161756676 161760846 161765136 161765976 161767595.9 161767655.9 161767716.1 161767775.9 161767839 161767896.1 161768000.3 161770475.9 161770583.9 161771136.1 161771189.8 161772036.1 161772083.5 161772936.1 161772958.2 161773056 161773093.9 161773836.1 161773889.8 161774736.1 161774758.2 161796696.1 161796702.4 161797236.1 161797283.5 161797356 161797523.4 161797716 161797788.6 161797835.9 161797876.9 161797956.1 161798019.3 161812536.1 161812595.9 161812716.1 161812836 161813270.9'
# Data file pathways
rod_mesh_file = Riso_GE7_ZX115/analysis/ge7_discrete.e
power_history_data_file = Riso_GE7_ZX115/analysis/riso_ge7_zx115_linear_power.csv
axial_peaking_data_file = Riso_GE7_ZX115/analysis/riso_ge7_zx115_peaking_factors.csv
clad_out_temperature_data_file = riso_ge7_zx115_clad_temperature.csv
flux_data_file = Riso_GE7_ZX115/analysis/riso_ge7_zx115_fast_flux.csv
!include ../../Riso_Base.i
!include ../../Riso_Base_sub.i
[Functions]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 161748936 161756676 161813271 161814651'
y = '.013995 1 1 .994475 .994475 .013995'
[]
[clad_temperature_bc]
type = PiecewiseLinear
data_file = ${clad_out_temperature_data_file}
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
[]
[clad]
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_growth_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
[]
[]
[Kernels]
[heat_source]
fission_rate = fission_rate
[]
[]
[BCs]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 7.24e6
function = pressure_ramp
[]
[]
[]
[Materials]
[fuel_thermal]
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_swelling]
gas_swelling_model_type = SIFGRS
[]
[clad_irradiation_growth_eigenstrain]
zircaloy_material_type = stress_relief_annealed
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200.
min_value = 293.
variable = temperature
[]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = ${damper_max_temperature_increment}
[]
[limit_dispx]
type = MaxIncrement
variable = disp_x
max_increment = 1.0e-5
[]
[limit_dispy] # this damper is helpful for the first 1/3 of the power history
type = MaxIncrement # remove this block entirely for the remainder of the run
variable = disp_y # which coincides with about 72hrs of runtime on sawtooth
max_increment = 1.0e-5
[]
[]
[Executioner]
[TimeStepper]
timestep_limiting_postprocessor = material_timestep
[]
[]
[Postprocessors]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[min_fuel_temperature]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.74952 # rod height
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet_type_1
fission_rate = fission_rate
variable = temperature
[]
[max_penetration]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = penetration
execute_on = 'initial timestep_end'
[]
[min_penetration]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = penetration
execute_on = 'initial timestep_end'
[]
[max_contact_pressure]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = pellet_type_1
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
# Nodal comparisons
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = ${nodeid_1}
use_displaced_mesh = true
[]
[penetration]
type = NodalVariableValue
variable = penetration
nodeid = ${nodeid_2}
use_displaced_mesh = true
[]
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = ${nodeid_3}
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
sync_times = ${sync_times}
[]
(test/tests/triso_failure/triso_1d_failure.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
# apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_thermal]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_thermal]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_thermal]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[characteristic_strength_PyC]
type = GenericConstantMaterial
prop_values = '964000'
prop_names = 'characteristic_strength'
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_debonding]
type = TRISODebondingFailureIndicator
boundary = IPyC_outer_boundary
bond_strength = 1e5
stress_name = radial_stress
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
SiC_failure_debonding = failure_indicator_debonding
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(test/tests/element_integral_power/element_integral_power_rz_test.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a RZ cylinder
# having an inner radius of 0.01 m, outer radius of 0.0114818 m and height of 0.01 m.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * Pi*(0.0114818^2 - 0.01^2) * 0.01
# = 100
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = cylinder.e
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[T]
order = FIRST
family = LAGRANGE
initial_condition = 500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[ie]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = NeutronHeatSource
variable = T
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 3.125e18
fission_rate_function = unity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[bottom_T]
type = DirichletBC
variable = T
boundary = 1
value = 500.0
[]
[top_T]
type = NeumannBC
variable = T
boundary = 2
value = 0.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 10000
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 2
dt = 1.0e6
[]
[Postprocessors]
[rod_total_power]
type = ElementIntegralPower
variable = T
fission_rate = fission_rate
block = 1
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
file_base = out_rz
exodus = true
hide = fission_rate
[]
(assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_rodlet-4/RE_Ginna_rodlet_4.i)
# This file contains all characteristics specific to Rodlet 4
# It uses information from the 2D Option and Base file to create a complete input file
!include ../RE_Ginna_Rodlets_2D_Options.i
!include ../RE_Ginna_Rodlets_Base.i
id = RE_Ginna_rodlet_4
# Fuel material properties
initial_grain_radius = 10.0e-6 # m (2D grain radius 10.0e-6)
fuel_youngs_modulus = 2.0e11 # Pa
fuel_poissons_ratio = 0.345 # (-)
# Cladding material properties
cladding_thermal_expansion_coeff = 5.0e-6 # K^-1
# Rod geometry
fuel_inner_radius = 0.001407 # m
rod_power_scale_factor = 0.541782 # m (rod height)
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0 115273407.3 115273767.3'
pressure_ramp_y = '0.006533 1 1 0.006533'
# Isotope fractions
isotope_fraction_U235 = 0.037
isotope_fraction_U238 = 0.963
# Relocation
burnup_relocation_stop = 0.0204 # FIMA
# Materials block parameters
fuel_elasticity_tensor_type = ComputeIsotropicElasticityTensor
clad_stress_inelastic_models = 'clad_creep'
clad_thermal_expansion_type = ComputeThermalExpansionEigenstrain
# Eigenstrain names
Physics_fuel_eigenstrain_names = 'fuel_relocation_strain fuel_thermal_eigenstrain fuel_volumetric_strain'
Physics_clad_eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
fuel_thermal_expansion_eigenstrain_name = fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain_name = fuel_volumetric_strain
clad_thermal_expansion_eigenstrain_name = clad_thermal_eigenstrain
# Numerical options
end_time = 115273767.3 # s
# Postprocessor parameters
FCT_nodeid = 1211 # coords (0.001407, 0.300689)
gap_nodeid = 1188 #coords (0.0044515, 0.300689)
contact_pressure_nodeid = 1188 #coords (0.0044515, 0.300689)
# Data file pathways
rod_mesh_file = 'RE_Ginna_rodlet-4/rodlet4_mesh.e'
power_history_data_file = 'RE_Ginna_rodlet-4/rodlet4_power.csv'
axial_peaking_data_file = 'RE_Ginna_rodlet-4/rodlet4_axial_peaking.csv'
flux_data_file = 'RE_Ginna_rodlet-4/rodlet4_fast_flux.csv'
clad_temperature_bc_data_file = 'RE_Ginna_rodlet-4/rodlet4_clad_bc.csv'
[GlobalParams]
temperature = temperature
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
add_variables = true
[]
[clad]
add_variables = true
[]
[]
[Burnup]
[burnup]
density = ${initial_fuel_density}
[]
[]
[Materials]
[fuel_elasticity_tensor]
youngs_modulus = ${fuel_youngs_modulus}
poissons_ratio = ${fuel_poissons_ratio}
[]
[clad_thermal_expansion]
thermal_expansion_coeff = ${cladding_thermal_expansion_coeff}
[]
[]
[Postprocessors]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${rod_power_scale_factor}
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = 3
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = 1
variable = vonmises_stress
[]
## Nodal comparison values
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = ${FCT_nodeid}
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = ${gap_nodeid}
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = ${contact_pressure_nodeid}
[]
[]
[Outputs]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/OSIRIS_H09/analysis/OSIRIS_H09.i)
initial_fuel_density = 10465.04
[GlobalParams]
density = ${initial_fuel_density} # 95.31% of TD (Assumed TD to be 10980)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = H09_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 7.0668e-6 # Using centre pellet average grain size of 9.060
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = h09_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = h09_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 102133764 102134124'
y = '0.006533 1 1 0.006533'
[]
[flux]
type = PiecewiseBilinear
data_file = h09_fast_flux.csv
scale_factor = 1
axis = 1
[]
[clad_temp_bc]
type = PiecewiseBilinear
data_file = h09_clad_bc.csv
scale_factor = 1
axis = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = 3
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = flux
factor = 1
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00324
a_upper = 3.66362
fuel_inner_radius = 0.0
fuel_outer_radius = 0.004095
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.03249 .96751 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.1e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
initial_fuel_density = 10465.04
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 293
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.00819
diametral_gap =160.e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = .029
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 102134124
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 10
linear_iteration_ratio = 100
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[average_grain_radius]
type = ElementAverageValue
block = '3'
variable = grain_radius
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
(examples/TRISO/accident_simulation/triso1D_accident.i)
# This example is 1D spherical analysis of a TRISO fuel particle. Fully coupled
# heat transfer and solid mechanics, plus diffusion of the fission product
# species cesium (Cs) are simulated. The mesh includes contact surfaces
# between the buffer and IPyC layers to facilitate a gap opening between
# these layers. These surfaces are initially in mechanical contact but
# are assumed to have no strength in tension. A coarse mesh is used to
# provide a short run time.
# The calculation simulates fuel-life in three steps. The first step is an
# irradiation period, where constant power and a fixed particle surface
# temperature (1500 K) are assumed over a lifetime of 76 Ms (2.4 yrs).
# For the second step, fuel removal and storage are simulated by setting
# the reactor power and Cs source terms to zero, reducing the particle
# surface temperature to ambient (300 K), and then holding it
# for 100 days. A third and final step simulates accident
# behavior by increasing the particle surface temperature from ambient
# to 2073 K over 2 hrs, and then holding it at this elevated temperature
# for an additional 200 hrs. At the particle outer boundary, the Cs
# concentration is held at zero and the pressure at ambient during the
# entire simulation. The particle is assumed to be stress-free at an
# initial temperature of 1500 K.
#
# Details about this simulation are given in Section 4 of the following
# article: J. D. Hales, R. L. Williamson, S. R. Novascone, D. M. Perez,
# B. W. Spencer and G. Pastore, "Multidimensional multiphysics simulation
# of TRISO particle fuel", Journal of Nuclear Materials, Vol. 443, p. 531,
# 2013.
# This is a version using an interface kernel to model gap mass transfer.
# Sorption constants are given in Table 1 of the following article: A.
# Londono-Hurtado, I. Szlufarska, R. Bratton and D. Morgan, "A review of
# fission product sorption in carbon structures", Journal of Nuclear
# Materials, Vol. 426, p. 254, 2012.
initial_fuel_density = 11000
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
flux_conversion_factor = 0.85
[]
[Mesh]
coord_type = RSPHERICAL
[gen] # exclude gap to establish buffer-IPyC neighbor relationships for the sorption interface kernel
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.125e-4 3.125e-4 3.525e-4 3.875e-4 4.275e-4'
mesh_density = '10 5 2 2 2'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[break] # create gap between buffer and IPyC to model mechanical and thermal contact
type = BreakMeshByBlockGenerator
input = gen
block_pairs = 'buffer IPyC'
split_interface = true
add_interface_on_two_sides = true
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1500.0
[]
[conc]
initial_condition = 0.0
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fluence]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[creep_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_yy]
order = CONSTANT
family = MONOMIAL
[]
[creep_zz]
order = CONSTANT
family = MONOMIAL
[]
[gap_HTC]
order = CONSTANT
family = MONOMIAL
[]
[gap_distance]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[integral_flux_error]
type = ParsedFunction
symbol_names = 'buffer_integral_flux IPyC_integral_flux'
symbol_values = 'buffer_integral_flux IPyC_integral_flux'
expression = 'IPyC_integral_flux + buffer_integral_flux'
[]
[partial_pressure_error]
type = ParsedFunction
symbol_names = 'buffer_partial_pressure IPyC_partial_pressure'
symbol_values = 'buffer_partial_pressure IPyC_partial_pressure'
expression = 'IPyC_partial_pressure - buffer_partial_pressure'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx hydrostatic_stress'
strain = FINITE
incremental = true
add_variables = false
[default]
block = 'fuel buffer IPyC OPyC'
eigenstrain_names = 'thermal_strain swelling_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = 'SiC'
eigenstrain_names = 'thermal_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = TimeDerivative
variable = conc
extra_vector_tags = 'ref'
[]
[mass]
type = ArrheniusDiffusion
variable = conc
extra_vector_tags = 'ref'
[]
[mass_source]
type = BodyForce
variable = conc
function = power_history
value = 1.22e-5 # units of moles/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = fuel
fission_rate_function = power_history
value = 3.89e19
execute_on = timestep_begin
[]
[fluence]
type = MaterialRealAux
property = fast_neutron_fluence
variable = fluence
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
execute_on = timestep_begin
density = ${initial_fuel_density}
[]
[creep_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_xx
index_i = 0
index_j = 0
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_yy
index_i = 1
index_j = 1
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_zz
index_i = 2
index_j = 2
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = buffer_IPyC
execute_on = linear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_buffer
secondary = buffer_IPyC
penalty = 1e5
model = frictionless
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_buffer
secondary = buffer_IPyC
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
gap_geometry_type = SPHERE
tangential_tolerance = 1e-6
roughness_coef = 0.0
quadrature = true
[]
[]
[InterfaceKernels]
[cesium_gap]
type = SorptionIsothermGapInterface
variable = conc
neighbor_var = conc
partial_pressure_name = partial_pressure
sorption_penalty = 1e5
diffusivity = arrhenius_diffusion_coef
use_flux_penalty = true
flux_penalty = 1e3
boundary = buffer_IPyC
extra_vector_tags = 'ref'
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
extra_vector_tags = 'ref'
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temp
boundary = exterior
function = temp_bc
extra_vector_tags = 'ref'
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC
variable = conc
boundary = exterior
value = 0.0
extra_vector_tags = 'ref'
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 'buffer_IPyC IPyC_buffer'
initial_pressure = 0
startup_time = 1.0e4
R = 8.3145
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 5e17
[]
[fission_gas_release] # Sifgrs fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = fuel
temperature = temp
burnup = burnup
eigenstrain_name = 'swelling_strain'
initial_fuel_density = ${initial_fuel_density}
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel'
[]
[fuel_elasticity]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.2e11
poissons_ratio = .345
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density} # kg/m^3
[]
[fuel_conc]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[buffer_eigenstrain]
type = PyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = 'swelling_strain'
[]
[buffer_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[buffer_elasticity]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e10
poissons_ratio = .23
[]
[buffer_stress]
type = PyCCreep
block = buffer
temperature = temp
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000.0 #kg/m^3
block = buffer
[]
[buffer_conc]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[buffer_partial_pressure]
type = SorptionPartialPressure
A = 19.33
B = -47290
D = 1.518
E = 4338
d1 = 3.397
d2 = 6.15e-4
unit_scale = 1e3 # convert from mol to mmol
density = density # convert from mmol/m^3 to mmol/kg
concentration = conc
temperature = temp
block = 'buffer IPyC'
outputs = 'all'
output_properties = partial_pressure
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[IPyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[IPyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[IPyC_elasticity]
type = ComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[IPyC_disp]
type = PyCCreep
block = 'IPyC OPyC'
temperature = temp
[]
[IPyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_den]
type = StrainAdjustedDensity
block = 'IPyC OPyC'
strain_free_density = 1900.0
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8
q1 = 222.0e+3
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_elasticity]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.4e11
poissons_ratio = .13
[]
[SiC_creep]
type = MonolithicSiCCreepUpdate
block = SiC
temperature = temp
k_function = k_function
[]
[SiC_stress]
type = ComputeMultipleInelasticStress
block = SiC
tangent_operator = elastic
inelastic_models = 'SiC_creep'
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3180.0 # kg/m^3
block = SiC
[]
[SiC_conc]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[OPyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[OPyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[OPyC_elasticity]
type = ComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-4
nl_abs_tol = 1e-9
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 85.3682e6
dt = 100
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 6
growth_factor = 1.5
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Predictor]
type = SimplePredictor
scale = 1
skip_times_old = '0 76e6 76.001e6 84.641e6 84.6482e6'
[]
[]
[Outputs]
perf_graph = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[csv]
type = CSV
sync_times = '100 6308007 75696087'
sync_only = true
[]
[]
[Postprocessors]
[Cs_release]
type = SideIntegralMassFlux
variable = conc
boundary = exterior
execute_on = timestep_end
[]
[dt]
type = TimestepSize
execute_on = timestep_end
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
scale_factor = -1
execute_on = 'initial timestep_end'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
scale_factor = -1
execute_on = 'initial timestep_end'
[]
[volumeGas]
type = InternalVolume
boundary = 'buffer_IPyC IPyC_buffer'
# ro = 3.125e-4
# ri = 2.125e-4
# vb = 4/3*pi*(ro^3-ri^3) = 8.76e-11
# buffer density = 1000
# PyC density = 1900
# fill ratio = 10/19
# vb*10/19 = 4.6e-11
# Must remove 4.6e-11 m^3 from the volume
addition = -4.6e-11
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = 'buffer_IPyC IPyC_buffer'
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = 'buffer_IPyC IPyC_buffer'
variable = temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[buffer_integral_flux]
type = SideDiffusiveFluxIntegral
variable = conc
boundary = buffer_IPyC
diffusivity = arrhenius_diffusion_coef
[]
[IPyC_integral_flux]
type = SideDiffusiveFluxIntegral
variable = conc
boundary = IPyC_buffer
diffusivity = arrhenius_diffusion_coef
[]
[buffer_partial_pressure]
type = SideAverageMaterialProperty
property = partial_pressure
boundary = buffer_IPyC
[]
[IPyC_partial_pressure]
type = SideAverageMaterialProperty
property = partial_pressure
boundary = IPyC_buffer
[]
[integral_flux_error]
type = FunctionValuePostprocessor
function = integral_flux_error
[]
[partial_pressure_error]
type = FunctionValuePostprocessor
function = partial_pressure_error
[]
[integral_Cs_release]
type = TimeIntegratedPostprocessor
value = Cs_release
[]
[Cs_production]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.22e-5 # units of moles/m**3-s
[]
[time_integral_Cs_production]
type = TimeIntegratedPostprocessor
value = Cs_production
[]
[volumeFuel_initial]
type = InternalVolume
boundary = fuel_outer_boundary
scale_factor = -1
execute_on = initial
[]
[integral_Cs_production]
type = ParsedPostprocessor
pp_names = 'time_integral_Cs_production volumeFuel_initial'
expression = 'time_integral_Cs_production * volumeFuel_initial'
[]
[Cs_release_fraction]
type = ParsedPostprocessor
pp_names = 'integral_Cs_release integral_Cs_production'
expression = 'integral_Cs_release / integral_Cs_production'
[]
[]
[VectorPostprocessors]
[temperaturevpp]
type = SideValueSampler
boundary = 11
variable = temp
sort_by = x
outputs = 'csv'
use_displaced_mesh = true
[]
[]
(test/tests/triso/base_irradiation/triso1D_accident_action.i)
[GlobalParams]
density = 11000.0 # kg/m^3
order = SECOND
displacements = 'disp_x'
temperature = temperature
energy_per_fission = 3.2e-11
stress_free_temperature = '1500'
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = FileMeshGenerator
file = triso1DFineTruss3.e
[]
[]
[Problem]
type = ReferenceResidualProblem
#reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[AuxVariables]
[gap_condSlave]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 3.89e19
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[]
[AuxKernels]
[conductanceSlave]
type = MaterialRealAux
property = gap_conductance
variable = gap_condSlave
boundary = BufferGapBndry
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 15
secondary = 17
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[cesium_contact]
type = GapHeatTransfer
variable = conc_Cs
primary = 15
secondary = 17
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
boundary = exterior
function = temp_bc
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply plenum pressure on clad inner walls and pellet surfaces
[PlenumPressure]
[plenumPressure]
boundary = BufferGapVol
initial_pressure = 100
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[NuclearMaterials]
physics = 'Mechanics Thermal'
fission_operation = 'Normal'
initial_temperature = 1500
elements_tracked = 'Cs'
element_decay_constants = '7.297e-10'
elements_initial_concentration = '0.0'
element_scaling = '1e18'
use_automatic_differentiation = false
add_variables = true
flux_factor = 5e17
flux_function = 'power_history'
strain = 'FINITE'
extra_vector_tags = 'ref'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
[ParticleFuel]
[UO2]
block = fuel
fuel_type = 'UO2'
flux_factor = 5e17
flux_function = 'power_history'
fission_rate_function = fission_rate
initial_porosity = 0.0
youngs_modulus = 2.2e11
poissons_ratio = 0.345
concentration_density = 1.22e-5 # units of mol/m**3-s
gas_constant = 8.3143
particle_fuel_models = 'Burnup Diffusion Swelling Creep ThermalExpansion'
diffusion_1st_coefficients = '5.6e-8'
diffusion_2nd_coefficients = '5.2e-4'
diffusion_1st_activation_energies = '209.0e+3'
diffusion_2nd_activation_energies = '362.0e+3'
initial_density = 11000.0
average_grain_radius = 10e-6
triso_geometry = particle_geometry
thermal_conductivity_model = FINK_LUCUTA
[]
[]
[ParticleLayers]
layers_models = 'Diffusion IrradiationGrowth ThermalExpansion Creep'
fuel_type = 'UO2'
[IPyC]
[IPyC_layer]
block = IPyC
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_zz'
diffusion_1st_coefficients = '6.3e-8'
diffusion_1st_activation_energies = '222.0e+3'
initial_density = 1900.0
youngs_modulus = 4.74e10
poissons_ratio = 0.23
thermal_conductivity = 4.0
specific_heat = 720.0
thermal_expansion_coeff = 5.65e-6
[]
[]
[OPyC]
[OPyC_layer]
block = OPyC
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_zz'
diffusion_1st_coefficients = '6.3e-8'
diffusion_1st_activation_energies = '222.0e+3'
initial_density = 1900.0
thermal_conductivity = 4.0
specific_heat = 720.0
youngs_modulus = 4.74e10
poissons_ratio = 0.23
thermal_expansion_coeff = 5.65e-6
[]
[]
[SiC]
[SiC_layer]
block = SiC
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_zz'
diffusion_1st_coefficients = '5.5e-14'
diffusion_1st_activation_energies = '125.0e+3'
d1_function = d1_function
d1_function_variable = fast_neutron_fluence
diffusion_2nd_coefficients = '1.6e-2'
diffusion_2nd_activation_energies = 514.0e3
initial_density = 3180.0
thermal_conductivity = 13.9
specific_heat = 620.0
youngs_modulus = 3.4e11
poissons_ratio = 0.13
thermal_expansion_coeff = 4.9e-6
[]
[]
[Buffer]
[Buffer_layer]
block = buffer
diffusion_1st_coefficients = '1e-12'
diffusion_1st_activation_energies = '0'
initial_density = 1000.0
youngs_modulus = 2.0e10
poissons_ratio = 0.23
thermal_conductivity = 0.5
specific_heat = 720.0
thermal_expansion_coeff = 5.65e-6
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_zz'
[]
[]
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-7
nl_max_its = 15
l_tol = 1e-8
l_max_its = 50
start_time = 0.0
#end_time = 85.3682e6
end_time = 1e3
num_steps = 1000
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
growth_factor = 1.5
optimal_iterations = 8
linear_iteration_ratio = 100
[]
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
[Int_Cs_release]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
[]
[Int_Cs_release_fuel]
type = TimeIntegratedPostprocessor
value = release_fuel_Cs
[]
[Int_Cs_release_PyCGapBndry]
type = TimeIntegratedPostprocessor
value = release_PyCGapBndry_Cs
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = linear
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = linear
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial timestep_end'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
addition = -4.6e-11
execute_on = 'initial linear'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial linear'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
outputs = exodus
execute_on = 'initial timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
outputs = exodus
execute_on = 'initial timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
execute_on = 'initial nonlinear'
[]
[]
[Outputs]
print_linear_residuals = false
[console]
type = Console
max_rows = 5
outlier_variable_norms = false
[]
[exodus]
type = Exodus
file_base = triso1D_accident_action_out
[]
[]
(examples/2D_plane_strain_fretting_wear/fretting-wear-initial-dyn-exc.i)
user_start_time = 1.0e5
user_end_time = 1.000002e5
end_dynamic_excitation = 1.000002e5
time_step_dynamics = 2.0e-3
step_number = 1
initial_fuel_density = 10431.0
[GlobalParams]
temperature = temp
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = fretting-wear-initial_out_cp/LATEST
skip_partitioning = true
allow_renumbering = false
[]
patch_size = 100 # For contact algorithm
[]
[Variables]
[temp]
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y '
converge_on = 'disp_x disp_y temp'
restart_file_base = ./fretting-wear-initial_out_cp/LATEST
material_coverage_check = false
kernel_coverage_check = false
[]
[AuxVariables]
[fission_rate]
block = pellet_type_1
[]
[burnup]
block = pellet_type_1
[]
[fast_neutron_flux]
block = 'clad grid'
[]
[fast_neutron_fluence]
block = 'clad grid'
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[worn_depth]
order = FIRST
family = LAGRANGE
block = 'spacer_clad_mechanical_secondary_subdomain'
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[pressure_var] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '0 1e4'
y = '0 1'
[]
[pressure_var_variable] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = ParsedFunction
expression = 'if(t < 1e4, 1, 1 + sin((t-1e4)*pi/10.0) * (t-1e4))'
[]
[]
[Physics/SolidMechanics/Dynamic]
[pellets]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = pellet_type_1
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[clad]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = clad
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[grid]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = grid
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'grid_thermal_eigenstrain grid_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
block = 'pellet_type_1 clad grid'
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
block = 'pellet_type_1 clad'
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[spacer_clad_mechanical]
formulation = mortar
model = coulomb
primary = 101
secondary = 102
c_normal = 1e+12 # 5e13
c_tangential = 1e+18
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
normal_lm_scaling = 1.0e-6
tangential_lm_scaling = 1.0e-6
generate_mortar_mesh = false
wear_depth = worn_depth
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical_real]
formulation = mortar
model = frictionless
primary = 7
secondary = 8
c_normal = 1e+16 #
c_tangential = 1e+16
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
generate_mortar_mesh = false
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = 7
secondary_boundary = 8
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
primary_subdomain = 'pellet_clad_mechanical_real_primary_subdomain'
secondary_subdomain = 'pellet_clad_mechanical_real_secondary_subdomain'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 21
axial_axis = 2
density = ${initial_fuel_density}
a_lower = -1e-3 # mesh dependent!
a_upper = 1e-3 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
RPF = RPF
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[worn_depth]
type = MortarArchardsLawAux
variable = worn_depth
primary_boundary = 101
secondary_boundary = 102
primary_subdomain = 'spacer_clad_mechanical_primary_subdomain'
secondary_subdomain = 'spacer_clad_mechanical_secondary_subdomain'
displacements = 'disp_x disp_y'
friction_coefficient = 0.5
energy_wear_coefficient = 0.1e-9
normal_pressure = spacer_clad_mechanical_normal_lm
execute_on = 'TIMESTEP_END'
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[relocation_strain]
type = MaterialRealAux
property = relocation_strain
variable = relocation_strain
block = pellet_type_1
execute_on = timestep_end
[]
[]
[BCs]
# Define boundary conditions
[no_y_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_y
boundary = 15
value = 0.0
[]
[no_x_all] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = 16
value = 0.0
[]
# Flow-induced vibrations refined_excitation
[vibration_x] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = disp_x
boundary = '112'
expression = 'if(t < ${end_dynamic_excitation}, 10.0*1.0e-6*sin(2*3.1415926535*20* (t - ${user_start_time})) + 2.0*1.0e-6*sin(2*3.1415926535*35*(t - ${user_start_time})), 0)'
#expression = '0'
[]
[vibration_y] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = disp_y
boundary = '112'
expression = 'if(t < ${end_dynamic_excitation}, 10.0*1.0e-6*sin(2*3.1415926535*20*(t-${user_start_time})) + 2.0*1.0e-6*sin(2*3.1415926535*35*(t-${user_start_time})) + 0.9e-4, 0.9e-4)'
#expression = '5.9e-4'
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = pressure_var # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[convective_clad_surface] # apply convective boundary to clad outer surface
type = ConvectiveFluxBC
boundary = '2'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 580.0
final = 580.0
duration = 1.0e4 #duration of initial power ramp
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = pellet_type_1
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_solid_mechanics_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
temperature = temp
eigenstrain_name = 'fuel_volumetric_eigenstrain'
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
density = 10431.0
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1'
youngs_modulus = 906e6
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 1.e20
relocation_activation1 = 5000
axial_axis = 2
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 'clad'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_creep_model]
type = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'clad_irradiation_eigenstrain'
[]
[grid_thermal]
type = HeatConductionMaterial
block = 'grid'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[grid_elasticity_tensor]
type = ZryElasticityTensor
block = 'grid'
[]
[grid_creep_model]
type = ZryCreepHayesHoppeUpdate
block = 'grid'
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[grid_stress]
type = ComputeMultipleInelasticStress
block = 'grid'
tangent_operator = elastic
inelastic_models = 'grid_creep_model'
[]
[grid_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'grid'
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'grid_thermal_eigenstrain'
[]
[grid_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = grid
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'grid_irradiation_eigenstrain'
[]
[fission_gas_release] # Forsberg-Massih fission gas release mode
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = 10.0e-6
#external_pressure = 40e6
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431.0
[]
[grid]
type = StrainAdjustedDensity
block = grid
density = 6560
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-14'
snesmf_reuse_base = true
line_search = 'basic'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 35
nl_rel_tol = 1e-7
nl_abs_tol = 1e-11
[TimeIntegrator]
type = NewmarkBeta
beta = 0.25
gamma = 0.5
[]
start_time = '${user_start_time}'
end_time = '${user_end_time}'
timestep_tolerance = 1e-8
[TimeStepper]
type = IterationAdaptiveDT
dt = '${time_step_dynamics}'
time_t = '${end_dynamic_excitation}'
time_dt = '${time_step_dynamics}'
growth_factor = 1.2
cutback_factor = 0.75
[]
dtmax = 3e-2
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[average_interior_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[average_centerline_fuel_temperature] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial timestep_end'
[]
[plenum_volume] # gas volume
type = InternalVolume
boundary = 9
addition = 1.3e-5 #rough guess of plenum volume/unit length of fuel
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_generated] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = linear
[]
[fission_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = linear
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[_dt] # time step
type = TimestepSize
execute_on = timestep_end
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_generated
[]
[]
[VectorPostprocessors]
[contact_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_normal_lm
boundary = 102
[]
[frictional_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_tangential_lm
boundary = 102
[]
[worn_depth]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = worn_depth
boundary = 102
execute_on = TIMESTEP_END
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
execute_on = 'FINAL'
[console]
type = Console
max_rows = 25
[]
checkpoint = true
file_base = 'step_${step_number}'
[]
(assessment/metallic_fuel/EBRII/X423/analysis/x423_lm_base.i)
[GlobalParams]
density = ${fuel_density}
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
X_Pu = ${fuel_pu}
X_Zr = ${fuel_zr}
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} / ${pin_id} _design.csv'}
fipd_as_fabricated_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} / ${pin_id} _as_fabricated.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_radial_elements = 10
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[func_val1]
[]
[func_val2]
[]
# AuxVariables used for thermal expansion correction
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[Functions] #copied from fipd-tdep
[clad_od_temp]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[power_history]
type = PiecewiseLinear
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[pwr_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[pwr_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation
[]
[fflux_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation
[]
[flux_history]
type = PiecewiseLinear
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 56465640'
y = '0.151e6 0.151e6'
[]
[id_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[ci_temp]
type = PiecewiseLinearFromVectorPostprocessor
argument_column = y
component = y
value_column = temp
vectorpostprocessor_name = clad_inn_temp
[]
[na_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[]
[Physics/SolidMechanics/QuasiStatic]
temperature = temp
[fuel]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
[]
[clad]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = cladding
eigenstrain_names = 'clad_swelling clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie_f]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = fuel
density_name = density
[]
[heat_ie_c]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = cladding
density_name = density
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = fission_rate
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = fuel_outer_radial_surface
[]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 'cladding_outside_right'
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = cladding
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = cladding
[]
# AuxKernels used to correct thermal expansion
[fuel_thermal_strain_xx]
type = RankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = RankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
[clad_thermal_eigenstrain_xx]
type = RankTwoAux
rank_two_tensor = clad_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
penalty = 1e12
model = frictionless
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
quadrature = true
gap_conductivity = 61.0
min_gap = 0.5e-03
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = fuel_bottom
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = cladding_outside_bottom
value = 0.0
[]
[fuel_top_temp]
type = FunctionDirichletBC
boundary = fuel_top
variable = temp
function = ci_temp
[]
[surf] #copied from fipd-tdep
type = FunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'fuel_outside_all cladding_inside_all'
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
block = fuel
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors
use_metadata = true
mesh_generator = gen
outputs = all
[]
[fission_rate_elongate]
type = UPuZrFissionRate
block = cladding
fission_rate_name = fission_rate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors_elongate
use_metadata = true
mesh_generator = gen
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
density = ${fuel_density}
outputs = all
block = fuel
[]
[burnup_elongate]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
density = ${fuel_density}
outputs = all
block = cladding
burnup_name = burnup
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors_elongate
block = cladding
factor = 1.0
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = fuel
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrainLM
block = fuel
use_preset_bubble_size = true
anisotropic_factor = 1.26
temperature = temp
fission_rate = fission_rate
burnup = burnup
fis_gas_ret = fis_gas_ret
hydrostatic_stress = hydrostatic_stress
eigenstrain_name = fuel_volumetric_strain
gas_swelling_scale_factor = 1.0
outputs = all
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
displacements = 'disp_x disp_y'
block = fuel
strain_free_density = ${fuel_density}
[]
[fission_gas_behavior]
type = FgrUPuZrLM
block = fuel
temperature = temp
fission_rate = fission_rate
epsilon_c = 0.36
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = cladding
elastic_constants_model = legacy_ifr
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ss316creep'
block = cladding
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = cladding
temperature = temp
fast_neutron_flux = fast_neutron_flux
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[clad_swelling]
type = SS316VolumetricSwellingEigenstrain
eigenstrain_name = clad_swelling
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
temperature = temp
outputs = all
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = cladding
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = SS316Thermal
block = cladding
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 7874.0
[]
[longSS316_failure]
type = D9FailureClad
block = cladding
method = steady_state
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = MetallicFuelWastage
method = flux_ss316
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = MetallicFuelCoolantWastage
clad_material = SS316
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50
variable = temp
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
end_time = ${time_last}
dtmin = 1
dtmax = ${max_dt}
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = power_history
#max_function_change = 300 # Removed to decrease run time
timestep_limiting_postprocessor = creep_timestep
dt = 100
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
outputs = 'csv_general console'
[]
[num_lin_it]
type = NumLinearIterations
outputs = csv_general
[]
[num_nonlin_it]
type = NumNonlinearIterations
outputs = csv_general
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
outputs = csv_general
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
outputs = csv_general
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
outputs = csv_general
[]
[ave_temp_interior]
type = SideAverageValue
boundary = cladding_inside_top
variable = temp
execute_on = 'initial linear'
outputs = csv_general
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = centerline
variable = temp
outputs = csv_general
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
outputs = csv_general
[]
[ave_FST]
type = SideAverageValue
boundary = fuel_outer_radial_surface
variable = temp
outputs = csv_general
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
outputs = csv_general
[]
[ave_CIT]
type = SideAverageValue
boundary = cladding_inside_right
variable = temp
outputs = csv_general
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
outputs = csv_general
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = cladding
outputs = csv_general
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = cladding
outputs = csv_general
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
outputs = csv_general
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
outputs = csv_general
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
outputs = csv_general
[]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = fuel
outputs = csv_general
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
outputs = csv_general
[]
[clad_inner_vol]
type = InternalVolume
boundary = cladding_inside_all
outputs = csv_general
[]
[pellet_volume]
type = InternalVolume
boundary = fuel_outside_all
outputs = csv_general
[]
[gas_volume]
type = InternalVolume
boundary = 'fuel_outside_all cladding_inside_all'
execute_on = 'initial timestep_end'
addition = na_vol
outputs = csv_general
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = fuel_outer_radial_surface
outputs = csv_general
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = fuel_outer_radial_surface
outputs = csv_general
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = cladding_inside_right
diffusivity = thermal_conductivity
outputs = csv_general
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = fuel_outer_radial_surface
diffusivity = thermal_conductivity
outputs = csv_general
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
outputs = csv_general
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
outputs = csv_general
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
outputs = csv_general
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
outputs = csv_general
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = fuel
outputs = csv_general
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = fuel
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
outputs = 'csv_general console'
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
outputs = csv_general
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
outputs = csv_general
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
outputs = csv_general
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
outputs = csv_general
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
outputs = csv_general
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
outputs = csv_general
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
outputs = csv_general
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
outputs = csv_general
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = cladding
variable = hoop_creep_strain
outputs = csv_general
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = cladding
variable = creep_strain_mag
outputs = csv_general
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = cladding
variable = total_hoop_strain
outputs = csv_general
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_top
outputs = csv_general
[]
[avg_fuel_ax_thm_str]
type = AxisymmetricCenterlineAverageValue
variable = fuel_thermal_strain_yy
boundary = fuel_inner_radial_surface
outputs = csv_general
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'cladding_outside_top cladding_outside_right'
outputs = csv_general
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
outputs = 'console'
[]
[avg_fuel_temp]
type = ElementAverageValue
variable = temp
block = fuel
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_general
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = centerline
sort_by = y
outputs = none
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = fuel_outer_radial_surface
sort_by = y
outputs = none
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_inside_right
sort_by = y
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
# PIE Comparison VPPs
[nrad_comparison_0]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_0
enable = ${enable_0}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_0'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423A_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_a'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[nrad_comparison_b]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423B_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_b
enable = ${enable_b}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_b'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[nrad_comparison_c]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423C_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_c
enable = ${enable_c}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_c'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
sync_times = ${time_spots}
[]
[csv_vpp_0]
type = CSV
sync_only = true
sync_times = ${time_spots_0}
enable = ${enable_0}
create_latest_symlink = true
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
create_latest_symlink = true
[]
[csv_vpp_b]
type = CSV
sync_only = true
sync_times = ${time_spots_b}
enable = ${enable_b}
create_latest_symlink = true
[]
[csv_vpp_c]
type = CSV
sync_only = true
sync_times = ${time_spots_c}
enable = ${enable_c}
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_times = ${time_spots}
[]
[extra_csv]
type = CSV
sync_only = true
sync_times = ${time_spots_extra}
[]
[extra_csv_0]
type = CSV
sync_only = true
sync_times = ${time_spots_0}
enable = ${enable_0}
[]
[extra_csv_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
[]
[extra_csv_b]
type = CSV
sync_only = true
sync_times = ${time_spots_b}
enable = ${enable_b}
[]
[extra_csv_c]
type = CSV
sync_only = true
sync_times = ${time_spots_c}
enable = ${enable_c}
[]
[exodus]
type = Exodus
sync_only = true
sync_times = ${time_spots}
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_196_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.0248576
pellet_height = 0.2606424
pellet_quantity = 1
clad_bot_gap_height = 0.0145
pellet_outer_radius = 3.92e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
# [terminator]
# type = Terminator
# expression = 'burst > 0'
# []
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
rod_ave_lin_pow = power_history
temperature = temperature
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
# n_startup_steps = 1
end_time = 95033429.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(examples/TRISO/failure_probability_direct_integration/triso_1d.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '5 3 0 5 3 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1363350801.3058'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 7017 -2.368e8'
polynomial_coefficients_SiC = '1 1.492e4 -3.802e7'
polynomial_coefficients_OPyC = '1 -1.273e4 1.849e8'
correlation_factor = -1.1824630660785265
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1086690814.283'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -2070 3.458e7'
polynomial_coefficients_SiC = '1 -868.9 -1.368e7'
polynomial_coefficients_OPyC = '1 1734 -1.988e7'
correlation_factor = 1.0626986695756293
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -856 1.593e7'
polynomial_coefficients_SiC = '1 1774 -5.253e7'
polynomial_coefficients_OPyC = '1 456.4 -1.459e7'
correlation_factor = 1.0113764663823708
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
#num_steps = 1
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[]
[Outputs]
show = 'weibull_failure_probability_IPyC weibull_failure_probability_SiC weibull_failure_probability_SiC_crackedIPyC'
print_linear_residuals = false
time_step_interval = 1
csv = false
exodus = false
perf_graph = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(assessment/LWR/validation/IFA_562/analysis/IFA_562_Base.i)
# This is a partial input file that contains characteristics common to the entire asssessment
# NOTE: This file requires information specified in the rod-specific .params files and is NOT meant to be run on its own
# Reference document HWR-247
# Block 1 = cladding, Block 3 and 5 = insulators Block 4 = fuel
# Last update 11/12/2015
# Fuel material properties
initial_fuel_density = 10321.2 # kg/m^3 # initial fuel density 94% of theoretical (10980 kg/m3)
initial_grain_radius = 7.75e-6 # m (grain radius is not reported, number from IFA-515)
initial_fuel_porosity = 0.06 # (-)
fuel_thermal_expansion_coeff = 10.0e-6 # K^-1
fuel_youngs_modulus = 2.0e11 # Pa
fuel_poissons_ratio = 0.345 # (-)
# Insulator material properties
insulator_youngs_modulus = 2.0e11 # Pa
insulator_poissons_ratio = 0.345 # (-)
insulator_thermal_expansion_coeff = 10.0e-6 # K^-1
# Cladding material properties
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
cladding_density = 6551.0 # kg/m^3
# Rod geometry
a_lower = 0.01101 # m (Checked with Paraview)
a_upper = 0.45351 # m (Checked with Paraview)
fuel_inner_radius = 0.001 # m (Checked with Paraview)
fuel_outer_radius = 0.0029575 # m (Checked with Paraview)
fuel_volume_ratio = 1.0 # (-)
fuel_diameter = 0.005915 # m
diametral_gap = 1.0e-4 # m
rod_power_scale_factor = 0.4425 # m (rod height)
# Neutronics, power, and isotope fractions
energy_per_fission = 3.2e-11 # J/fission (200 MeV per fission)
isotope_fraction_U235 = 0.12
isotope_fraction_U238 = 0.88
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
burnup_function = 0 # GWd/tUO2
# Temperature conditions
initial_temperature = 300 # K
stress_free_temperature = 300 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0'
pressure_ramp_y = '0.0298 1'
pressure_ramp_factor = 3.40e6 # (-)
# Plenum parameters
initial_plenum_pressure = 1.0e6 # Pa
startup_time = 0 # s
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-K
# Contact and relocation
contact_penalty = 1e14 # (-)
roughness_secondary = 1e-6
roughness_primary = 2e-6
kennard_coefficient = 0.2173
# Relocation
relocation_activation1 = 5000 # W/m
burnup_relocation_stop = 0.02524 # FIMA
# Numerical options
damper_max_temperature_value = 3200 # K
damper_min_temperature_value = 200 # K
l_max_its = 50
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100 # s
end_time = 84612900 # s
dtmax = 1e6 # s
dtmin = 1 # s
TimeStepper_dt = 100 # s
TimeStepper_optimal_iterations = 25
TimeStepper_iteration_window = 6
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
temperature = temperature
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = ${initial_temperature} # set initial temperature to ambient
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[grain_radius]
block = '4'
initial_condition = ${initial_grain_radius}
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
[]
[axial_peaking_factors]
type = ParsedFunction # no axial power profile
expression = '1'
[]
[clad_wall_temperature]
type = PiecewiseLinear
data_file = ${coolant_temperature_data_file}
format = columns
[]
[axial_clad_peaking]
type = ParsedFunction # no axial clad temperature
expression = '1'
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temperature axial_clad_peaking'
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[flux]
type = PiecewiseLinear
data_file = ${flux_data_file}
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 4
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[insulator]
block = '3 5'
strain = FINITE
incremental = true
eigenstrain_names = 'insulator_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = 4
fission_rate = fission_rate
[]
[]
# Note: The U235 should be 13% but the model does not currently work above 12%
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 4
rod_ave_lin_pow = power_profile # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 20
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = flux
axial_power_profile = axial_peaking_factors
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '4'
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic
normalize_penalty = true
penalty = ${contact_penalty}
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact_clad]
type = GasGapHeatTransfer
variable = temperature
primary = 5 # clad
secondary = 10 # fuel & insulators
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_secondary = ${roughness_secondary}
roughness_primary = ${roughness_primary}
kennard_coefficient = ${kennard_coefficient}
gap_conductance_model = TOPTAN
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
jump_distance_model = TOPTAN
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = 5
outer_surfaces = 10
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = ${pressure_ramp_factor} # coolant pressure not reported, using the number from IFA-515
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 4
burnup = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
block = '4'
temperature = temperature
thermal_conductivity_model = NFIR
burnup = burnup
initial_porosity = ${initial_fuel_porosity}
[]
[insulator_thermal]
type = UO2Thermal
block = '3 5'
temperature = temperature
thermal_conductivity_model = NFIR
burnup_function = ${burnup_function}
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = '4'
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 4
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = '4'
youngs_modulus = ${fuel_youngs_modulus}
poissons_ratio = ${fuel_poissons_ratio}
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 4
burnup = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = ${relocation_activation1}
burnup_relocation_stop = ${burnup_relocation_stop}
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[insulator_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3 5'
[]
[insulator_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = '3 5'
youngs_modulus = ${insulator_youngs_modulus}
poissons_ratio = ${insulator_poissons_ratio}
[]
[insulator_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = '3 5'
thermal_expansion_coeff = ${insulator_thermal_expansion_coeff}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'insulator_thermal_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 4
temperature = temperature
fission_rate = fission_rate
burnup = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = ${initial_fuel_porosity}
transient_option = ${fgr_transient_option}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = ${cladding_density}
[]
[fuel_density]
type = StrainAdjustedDensity
block = '4 3 5'
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = ${damper_max_temperature_value}
min_value = ${damper_min_temperature_value}
variable = temperature
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = ${l_max_its}
l_tol = ${l_tol}
# controls for nonlinear iterations
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
# time control
start_time = ${start_time}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
# control for adaptive time steping
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
optimal_iterations = ${TimeStepper_optimal_iterations}
iteration_window = ${TimeStepper_iteration_window}
force_step_every_function_point = true
timestep_limiting_function = power_profile
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[avg_clad_temperature]
type = SideAverageValue
boundary = 7
variable = temperature
outputs = exodus
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = 4
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = ${rod_power_scale_factor}
[]
[average_fission_rate]
type = ElementAverageValue
block = 4
variable = fission_rate
[]
[FCT_ave]
type = SideAverageValue
boundary = 13
variable = temperature
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 4
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_centerline_fuel_temperature average_burnup
fission_gas_released_percentage maximum_clad_elongation
maximum_fuel_elongation rod_total_power'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(test/tests/fission_rate_LWR/fission_to_thermal_power.i)
# Tests/demonstrates fission to thermal power conversion
#
# In some cases, the LHGR is specified as the thermal power generated within
# the fuel. To get the fission rate and burnup correct, this thermal power must be
# scaled upward to obtain the total fission power in the fuel. For Halden experiments
# the ratio of fission power to thermal power in the fuel is generally assumed to be
# 0.95.
#
# In this test, the power is specified as fuel thermal power (95 W/m) and so is scaled
# upward to 100 W/m as part of the power function definition. This total power is then
# partitioned as thermal power in the fuel (0.95) and thermal power in the clad
# (0.05) using the NeutronHeatSource kernel.
#
# Postprocessors show the fission power in the fuel and clad as 100 and 0, as
# expected. The fission power density in the fuel can be computed as:
#
# Fdot = ALHR / (Energy_per_fission * Cross_sectional_area)
# = 100 / (3.2e-11 * pi * 0.56418958^2)
# = 3.125e12 fissions/(m**3-s)
#
# Assuming a very high conductivity for the fuel and clad (1e6), both materials can be
# accurately described using a lumped-capacity thermal model. The temperature is
# then given by:
#
# dT = (q * dt) / (rho * C * V)
# = (q/l * dt) / (rho * C * A)
#
# where: T = temperature
# t = time
# q = heat rate
# rho = density
# C = specific heat
# V = volume
# l = length
# A = cross-sectional area
#
# For the fuel, at 2 s:
# dT = (95 W/m * 2 s) / (1 kg/m^3 * 1 J/kg-K * pi * 0.56418958^2 m^2)
# = 190 K
#
# For the clad, at 2 s:
# dT = (5 W/m * 2 s) / (1 kg/m^3 * 1 J/kg-K * pi * (0.8990605^2 - 0.7^2 m^2)
# = 10 K
#
# which is what is computed numerically
#
[GlobalParams]
energy_per_fission = 3.2e-11
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = fission_to_thermal_power.e
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 500.0
[]
[]
[Functions]
[rod_ave_lin_pow]
type = PiecewiseLinear
x = '0 2'
y = '95 95'
scale_factor = 1.052631579 # scale input thermal power to fission power (1/0.95)
[]
[rod_axial_profile]
type = ParsedFunction
expression = '1.0'
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source_fuel]
type = NeutronHeatSource
block = 2
variable = temp
rod_ave_lin_pow = rod_ave_lin_pow
axial_profile = rod_axial_profile
outer_diameter = 1.128379169
inner_diameter = 0
fraction = 0.95 # 95% of fission power deposited in fuel
[]
[heat_source_clad]
type = NeutronHeatSource
block = 1
variable = temp
rod_ave_lin_pow = rod_ave_lin_pow
axial_profile = rod_axial_profile
outer_diameter = 1.7981211151463525
inner_diameter = 1.4
fraction = 0.05 # 5% of fission power deposited in clad
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
variable = fission_rate
fission_rate_formulation = 'LWR'
rod_ave_lin_pow = rod_ave_lin_pow
axial_power_profile = rod_axial_profile
pellet_diameter = 1.128379169
execute_on = 'initial timestep_begin'
block = 2
[]
[]
[Materials]
[goo]
type = HeatConductionMaterial
block = '1 2'
thermal_conductivity = 1.0e6
specific_heat = 1.0
[]
[density]
type = ParsedMaterial
block = '1 2'
property_name = density
expression = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-6
start_time = 0.0
num_steps = 2
dt = 1.0
[]
[Postprocessors]
[fuel_fission_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 2
execute_on = 'initial timestep_end'
[]
[clad_fission_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 1
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
[]
(test/tests/element_integral_power/element_integral_power_test.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a cube of length 1 cm.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * 1.0e-6
# = 100
[Mesh]
[mesh]
type = FileMeshGenerator
file = cube_10mm.e
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[T]
order = FIRST
family = LAGRANGE
initial_condition = 500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[ie]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = NeutronHeatSource
variable = T
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 3.125e18
fission_rate_function = unity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[bottom_T]
type = DirichletBC
variable = T
boundary = 1
value = 500.0
[]
[top_T]
type = NeumannBC
variable = T
boundary = 2
value = 0.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 10000
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 2
dt = 1.0e7
[]
[Postprocessors]
[rod_total_power]
type = ElementIntegralPower
variable = T
fission_rate = fission_rate
block = 1
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
file_base = out
exodus = true
[]
(assessment/metallic_fuel/FBTA/analysis/steady_state/AK181/181193/IFR1_181193.i)
# IFR-1 Pin 181193
# Inspired by BISON IFR-1 Assessment Case and BISON X441 Assessment Case
exp_id = AK181
pin_id = 181193
fipd_submodule_dir = '../../../../../../../fipd-bison-integration-data/'
cladding_ir = '${fparse 0.226*0.5*0.0254}'
cladding_thickness = '${fparse 0.022*0.0254}'
fuel_radius = ${fparse 0.196*0.5*0.0254}
# Fuel length is 6.5 + 36.0 + 6.5 = 49.0 inch
# Which is 0.13265 0.73470 0.13265
reflector_frac = 0.13265
active_frac = 0.73470
transition_frac = 0.001
fuel_intervals = '0 ${fparse reflector_frac-transition_frac} ${reflector_frac} ${fparse reflector_frac+active_frac} ${fparse reflector_frac+active_frac+transition_frac} 1.0'
reflector_height = '${fparse 6.5*0.0254}'
active_fuel_height = '${fparse 36.0*0.0254}'
transition_height = '${fparse reflector_height/reflector_frac*transition_frac}'
clad_plug_thick = 2.24e-3
bot_gap_thick = 0.31e-3
bottom_blanket_start = '${fparse clad_plug_thick+bot_gap_thick}'
bottom_transition_layer_start = '${fparse bottom_blanket_start+reflector_height-transition_height}'
active_fuel_start = '${fparse bottom_blanket_start+reflector_height}'
active_fuel_end = '${fparse active_fuel_start+active_fuel_height}'
top_transition_layer_end = '${fparse active_fuel_end+transition_height}'
top_blanket_end = '${fparse active_fuel_end+reflector_height}'
gas_plenum_height = '${fparse 39.0*0.0254}'
sodium_cap_height = '${fparse 1.0*0.0254}'
time_last = 53611920
max_dt = 1e5
magic_factor = 5e-1 #1.00e-01
A_U = 0.23803 # [kg/mol]
A_Pu = 0.240 # [kg/mol]
A_Zr = 0.091224 # [kg/mol]
W_Pu = 0.19
W_Zr = 0.1
W_U = '${fparse 1 - W_Pu - W_Zr}'
A_tot = '${fparse 1 / (W_U / A_U + W_Pu / A_Pu + W_Zr / A_Zr)}'
X_Pu = '${fparse W_Pu / A_Pu * A_tot}'
fuel_pu = ${X_Pu}
initial_X_Zr = '${fparse W_Zr / A_Zr * A_tot}'
fuel_density = 15.73e3
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
cladding_block = 'cladding'
[GlobalParams]
density = ${fuel_density}
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = ${bot_gap_thick}
cladding_bottom_plug_length = ${clad_plug_thick}
cladding_top_plug_length = ${clad_plug_thick}
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 400 400'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 10
fuel_axial_element_intervals = ${fuel_intervals}
fuel_axial_element_numbers = '30 1 400 1 30'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
# As RodletMeshGenerator does not support axial blankets
# We need to define them ourselves
[upper_blanket]
type = ParsedSubdomainMeshGenerator
input = gen
excluded_subdomains = 'cladding cap stand'
combinatorial_geometry = 'y>=y0'
constant_names = 'y0'
constant_expressions = '${top_transition_layer_end}'
block_id = 11
block_name = 'upper_blanket'
[]
[lower_blanket]
type = ParsedSubdomainMeshGenerator
input = upper_blanket
excluded_subdomains = 'cladding cap stand upper_blanket'
combinatorial_geometry = 'y<=y0'
constant_names = 'y0'
constant_expressions = '${bottom_transition_layer_start}'
block_id = 12
block_name = 'lower_blanket'
[]
[upper_transition]
type = ParsedSubdomainMeshGenerator
input = lower_blanket
excluded_subdomains = 'cladding cap stand upper_blanket'
combinatorial_geometry = 'y>=y0'
constant_names = 'y0'
constant_expressions = '${active_fuel_end}'
block_id = 13
block_name = 'upper_transition'
[]
[lower_transition]
type = ParsedSubdomainMeshGenerator
input = upper_transition
excluded_subdomains = 'cladding cap stand lower_blanket'
combinatorial_geometry = 'y<=y0'
constant_names = 'y0'
constant_expressions = '${active_fuel_start}'
block_id = 14
block_name = 'lower_transition'
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = lower_transition
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${top_blanket_end} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${top_blanket_end} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse top_blanket_end + sodium_cap_height + gas_plenum_height + clad_plug_thick} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 40
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel cladding cap stand upper_blanket lower_blanket upper_transition lower_transition'
[]
[disp_x]
block = 'fuel cladding cap stand upper_blanket lower_blanket upper_transition lower_transition'
[]
[disp_y]
block = 'fuel cladding cap stand upper_blanket lower_blanket upper_transition lower_transition'
[]
[]
[Functions]
# We do not have SE2P data for IFR-1
# [clad_od_temp]
# type = FIPDAxialProfileFunction
# data_file = ${raw 'fipd /clad_od_temp_history_ ${pin_id} .csv'}
# bottom_clad_height = ${clad_plug_thick}
# clad_bottom_gap_height = ${fparse bot_gap_thick+reflector_height}
# fuel_slug_length = ${active_fuel_height}
# []
[coolant_flux_function]
type = PiecewiseLinear
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / flow_history_ ${pin_id} .csv'}
[]
[coolant_pressure_function]
# Constant coolant inlet pressure (Pa) taken from [Cabell, 1980].
# From IFR-1 Assessment Case
type = ConstantFunction
value = 1018327
[]
[coolant_T_in_function]
# Sodium coolant inlet temperature (K). See [Porter and Tsai, 2011]
# We would like to always use 633.15 K
type = ConstantFunction
value = 633.15
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
expression = 'raw_sodium_vol * 954 / (1102 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history]
type = PiecewiseLinear
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / power_history_ ${pin_id} .csv'}
[]
[power_history_avg]
type = PiecewiseLinear
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / power_history_ ${pin_id} .csv'}
scale_factor = 0.811078523
[]
[pwr_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_power_relative_ ${pin_id} .csv'}
zero_ends = true
data_shift_type = peaking
bottom_clad_height = ${clad_plug_thick}
clad_bottom_gap_height = ${fparse bot_gap_thick+reflector_height}
fuel_slug_length = ${active_fuel_height}
[]
[pwr_axial_peaking_factors_cdf]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_power_cdf_relative_ ${pin_id} .csv'}
data_shift_type = peaking
bottom_clad_height = ${clad_plug_thick}
clad_bottom_gap_height = ${fparse bot_gap_thick+reflector_height}
fuel_slug_length = ${active_fuel_height}
[]
[pwr_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_power_relative_ ${pin_id} .csv'}
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation
bottom_clad_height = ${clad_plug_thick}
clad_bottom_gap_height = ${fparse bot_gap_thick+reflector_height}
fuel_slug_length = ${active_fuel_height}
[]
[fflux_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_flux_relative_ ${pin_id} .csv'}
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
bottom_clad_height = ${clad_plug_thick}
clad_bottom_gap_height = ${fparse bot_gap_thick+reflector_height}
fuel_slug_length = ${active_fuel_height}
[]
[fflux_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_flux_relative_ ${pin_id} .csv'}
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation
bottom_clad_height = ${clad_plug_thick}
clad_bottom_gap_height = ${fparse bot_gap_thick+reflector_height}
fuel_slug_length = ${active_fuel_height}
[]
[flux_history]
type = PiecewiseLinear
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / flux_history_ ${pin_id} .csv'}
[]
[id_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${active_fuel_height} ${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / fuel_radius) / (disp_y_fuel_top_surface_avg / fuel_height)'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
add_variables = false
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress '
'hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz '
'elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy '
'strain_zz'
extra_vector_tags = 'ref'
block = 'fuel upper_blanket lower_blanket'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel cladding upper_blanket lower_blanket'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel cladding cap stand upper_blanket lower_blanket upper_transition lower_transition'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel cladding cap stand upper_blanket lower_blanket upper_transition lower_transition'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = 'cap stand upper_transition lower_transition'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand upper_transition lower_transition'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand upper_transition lower_transition'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand upper_transition lower_transition'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = 'fuel upper_blanket lower_blanket'
[]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = ${fparse 1e17 * magic_factor}
c_tangential = ${fparse 1e19 * magic_factor}
tangential_lm_scaling = 1.0e-22
normal_lm_scaling = 1.0e-4
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
primary_emissivity = 0
secondary_emissivity = 0
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
thermal_lm_scaling = 1e-4
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 0.151e6
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[convection]
type = ConvectiveHeatFluxBC
variable = temp
boundary = cladding_outside_right
T_infinity = coolant_temperature
heat_transfer_coefficient = coolant_channel_htc
[]
[]
[FluidProperties]
[sodium_uo]
type = SodiumProperties
[]
[]
[AuxVariables]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = 'fuel upper_blanket lower_blanket'
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = 'fuel upper_blanket lower_blanket'
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = 'fuel upper_blanket lower_blanket'
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[func_val1]
[]
[func_val2]
[]
[fast_neutron_fluence_aux]
order = CONSTANT
family = MONOMIAL
block = 'cladding'
[]
[]
[AuxKernels]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = 'cladding'
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = 'cladding'
[]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
execute_on = timestep_end
[]
[relx_aux]
type = ParsedAux
variable = relx
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
use_xyzt = true
expression = 'x / ${fuel_radius}'
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = 'fuel upper_blanket lower_blanket'
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = 'fuel upper_blanket lower_blanket'
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = 'fuel upper_blanket lower_blanket'
[]
[]
[Materials]
[coolant]
type = SodiumCoolantChannelMaterial
boundary = cladding_outside_right
inlet_temperature_function = coolant_T_in_function
rod_linear_power = power_history_avg
inlet_massflux_function = coolant_flux_function
axial_power_profile_cdf = pwr_axial_peaking_factors_cdf
pellet_height = ${active_fuel_height}
cladding_radius = '${fparse cladding_ir + cladding_thickness}'
wire_wrap_diameter = ${fparse 0.054*0.0254}
temperature = temp
sodium_user_object = sodium_uo
htc_model = BGF
update_temperature = true
pin_location = interior
peclet_limit_behavior = error
outputs = all
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
block = 'fuel upper_blanket lower_blanket'
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${fuel_pu}
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors_elongate
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${fuel_pu}
block = 'cladding'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = ${fuel_pu}
density = ${fuel_density}
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = cladding
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel upper_blanket lower_blanket'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel upper_blanket lower_blanket'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-3 #1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel upper_blanket lower_blanket'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[porosity_transition]
type = ADGenericConstantMaterial
prop_names = 'porosity interconnectivity'
prop_values = '0.0 0.0'
block = 'upper_transition lower_transition'
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = ${fuel_pu}
youngs_model = LANL
block = 'fuel upper_blanket lower_blanket'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel upper_blanket lower_blanket'
temperature = temp
porosity = porosity
max_inelastic_increment=1e-1
use_old_porosity = true
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel upper_blanket lower_blanket'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = ${fuel_pu}
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel upper_blanket lower_blanket'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.25
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel upper_blanket lower_blanket'
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
X_Zr = ${initial_X_Zr}
X_Pu = ${fuel_pu}
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
strain_free_density = ${fuel_density}
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = 'fuel upper_blanket lower_blanket upper_transition lower_transition'
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = cladding
factor = 1.0
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 30
nl_rel_tol = 1e-4 #5e-6
nl_abs_tol = 1e-8 #5e-9
end_time = ${time_last}
dtmin = 1
dtmax = ${max_dt}
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = power_history
dt = 100
iteration_window = 4
optimal_iterations = 20
force_step_every_function_point = true
timestep_limiting_postprocessor = creep_timestep
[]
[]
[Postprocessors]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = 'fuel cladding'
[]
[_dt]
type=TimestepSize
[]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = 'cladding'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = 'cladding'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = 'cladding'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = SideAverageValue
boundary = 'gas_height cladding_inside_top'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_sodium_avg]
type = SideAverageValue
boundary = 'sodium_height fuel_bottom cladding_inside_bottom fuel_top'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'cladding'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'cladding'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'cladding'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'cladding'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'cladding'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'cladding'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${active_fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel cladding'
outputs = none
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
[]
[max_wst_temp]
type=ElementExtremeValue
value_type=max
variable=temp
proxy_variable=wastage_thickness
block='cladding'
[]
[max_wst_burnup]
type=ElementExtremeValue
value_type=max
variable=burnup
proxy_variable=wastage_thickness
block='cladding'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[]
[Outputs]
perf_graph = true
color = true
[console]
type = Console
max_rows = 25
[]
[csv_general]
type = CSV
execute_on = FINAL
[]
[exodus]
type = Exodus
enable = false
additional_execute_on = 'FAILED'
[]
[params_exodus_final]
type = Exodus
execute_on = 'FINAL'
[]
[]
!include d9_clad_base.i
(examples/3D_rodlet_3pellets/discrete_full/3d_3pellets_mortar.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} #95% TD (TD = 10980)
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
volumetric_locking_correction = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y disp_z'
converge_on = 'disp_x disp_y disp_z temp'
[]
[Mesh]
[file]
type = FileMeshGenerator
file = DiscreteThreePellets3D_full_HEX8.e
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
patch_update_strategy = auto
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fission_rate]
block = 3
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 3
initial_condition = 5e-6
[]
[frictional_status]
family = LAGRANGE
order = FIRST
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[hoop_inelastic_strain]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[pid]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 25e3 # 25 kW/m peak power.
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_strain fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[clad]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 2.49e-3
a_upper = 2.621e-2
fuel_inner_radius = 0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 3
value = 5.3548e+14
fission_rate_function = power_history
[]
[frictional_state]
type = MortarFrictionalStateAux
tangent_one = pellet_clad_mechanical_tangential_lm
tangent_two = pellet_clad_mechanical_tangential_3d_lm
boundary = 10
contact_pressure = pellet_clad_mechanical_normal_lm
variable = frictional_status
mu = 0.5
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 2.34e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gas_swell]
type = MaterialRealAux
block = 3
variable = gas_swell
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[hoop_inelastic_strain]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = hoop_inelastic_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[pid]
type = ProcessorIDAux
variable = pid
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = mortar
model = coulomb
c_normal = 1e+18
c_tangential = 1e+18
friction_coefficient = 0.5
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
gas_released = fis_gas_released_model
initial_moles = initial_moles
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1004
value = 0.0
[]
[no_z_all]
type = DirichletBC
variable = disp_z
boundary = 1004
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_x_clad_bottom]
type = DirichletBC
variable = disp_x
boundary = 1
value = 0.0
[]
[no_z_clad_bottom]
type = DirichletBC
variable = disp_z
boundary = 1
value = 0.0
[]
[no_z_fuel_bottom_point]
type = DirichletBC
variable = disp_z
boundary = 1110
value = 0.0
[]
[no_z_fuel_bottom_point_y]
type = DirichletBC
variable = disp_y
boundary = 1110
value = 0.0
[]
[no_x_fuel_bottom_point]
type = DirichletBC
variable = disp_x
boundary = 1120
value = 0.0
[]
[no_x_fuel_bottom_point_y]
type = DirichletBC
variable = disp_y
boundary = 1120
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0.0
material_input = fis_gas_released_model
output_initial_moles = initial_moles
R = 8.3143
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # PA
inlet_massflux = 3880 # kg/m^2-sec
rod_diameter = 0.95e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.00836
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =50.0e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.02
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
temperature = temp
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
# thermal_expansion_coeff = 10.0e-6 (reference)
# We are artificially increasing the fuel expansion to simulate mechanical contact within reasonable 'example' time
thermal_expansion_coeff = 50.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_strain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = 1
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-13'
line_search = 'basic'
l_max_its = 10
nl_max_its = 40
nl_rel_tol = 1e-7
nl_abs_tol = 1e-8
start_time = -200
dtmin = 1.0
end_time = 25200
nl_div_tol = 1e+40
# For a regular thermal expansion value, use following end_time
# end_time = 4.0e7
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
optimal_iterations = 15
iteration_window = 3
growth_factor = 2.0
cutback_factor = 0.5
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
scale_factor = 1.0
execute_on = 'INITIAL TIMESTEP_END'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
scale_factor = 1.0
execute_on = 'INITIAL TIMESTEP_END'
[]
[gas_volume]
type = InternalVolume
boundary = 9
scale_factor = 1.0
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced_model]
type = ElementIntegralFisGasGeneratedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ScalePostprocessor
value = fis_gas_produced_model
scaling_factor = 1.0
execute_on = 'initial timestep_end'
[]
[fis_gas_released_model]
type = ElementIntegralFisGasReleasedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fission_gas_released]
type = ScalePostprocessor
value = fis_gas_released_model
scaling_factor = 1.0
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
execute_on = 'initial timestep_end'
[]
[flux_from_clad_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_clad]
type = ScalePostprocessor
value = flux_from_clad_model
scaling_factor = 1.0
execute_on = 'initial timestep_end'
[]
[flux_from_fuel_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = ScalePostprocessor
value = flux_from_fuel_model
scaling_factor = 1.0
execute_on = 'initial timestep_end'
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
execute_on = 'initial timestep_end'
[]
[rod_total_power_model]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
execute_on = 'initial timestep_end'
[]
[rod_total_power]
type = ScalePostprocessor
value = rod_total_power_model
scaling_factor = 1.0
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.03
execute_on = 'initial timestep_end'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
[checkpoint]
type = Checkpoint
time_step_interval = 1
file_base = ckpoint_mortar_dup
num_files = 2
[]
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'fission_gas_released plenum_pressure interior_temp gas_volume'
[]
[]
(assessment/TRISO/validation/AGR-34/SharedFiles/capsule_dtf.i)
kernel_radius = 178.65e-6
PyC_thickness = 20e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+PyC_thickness}'
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.19717 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.430 # Initial oxygen to uranium atom ratio
C_U = 0.361 # Initial carbon to uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2}'
mesh_density = '18 14'
block_names = 'fuel PyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = PyC_outer_boundary
outer_SiC = PyC_outer_boundary
outer_IPyC = PyC_outer_boundary
inner_IPyC = PyC_outer_boundary
outer_buffer = PyC_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 1200
[]
[conc_Ag]
initial_condition = 0.0
scaling = 1e12 #1e18
[]
[conc_Cs]
initial_condition = 0.0
scaling = 1e12 #1e18
[]
[conc_Sr]
initial_condition = 0.0
scaling = 1e12 #1e18
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Ag_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[Sr_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
data_file='AGR-34_capsule_daily_data/Cap1Temps.csv'
[]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 4.8156e+19
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Ag_dt]
type = TimeDerivative
variable = conc_Ag
extra_vector_tags = 'ref'
[]
[mass_Ag]
type = ArrheniusDiffusion
variable = conc_Ag
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
extra_vector_tags = 'ref'
[]
[mass_source_Ag]
type = SpeciesSourceRate
variable = conc_Ag
property_name = Ag_generation
block = fuel
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
extra_vector_tags = 'ref'
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[mass_source_Cs]
type = SpeciesSourceRate
variable = conc_Cs
property_name = Cs_generation
block = fuel
extra_vector_tags = 'ref'
[]
[mass_Sr_dt]
type = TimeDerivative
variable = conc_Sr
extra_vector_tags = 'ref'
[]
[mass_Sr]
type = ArrheniusDiffusion
variable = conc_Sr
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
extra_vector_tags = 'ref'
[]
[mass_source_Sr]
type = SpeciesSourceRate
variable = conc_Sr
property_name = Sr_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Ag_diff_coef]
type = MaterialRealAux
variable = Ag_diff_coef
property = arrhenius_diffusion_coef_Ag
execute_on = timestep_end
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[Sr_diff_coef]
type = MaterialRealAux
variable = Sr_diff_coef
property = arrhenius_diffusion_coef_Sr
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
extra_vector_tags = 'ref'
[]
[freesurf_conc_Ag]
type = DirichletBC
variable = conc_Ag
boundary = exterior
value = 0.0
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[freesurf_conc_Sr]
type = DirichletBC
variable = conc_Sr
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 0.5519e+18
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 11098.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Ag]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 1.0e-6 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 1.0e-6 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[fuel_conc_Sr]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 1.0e-6 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
[mass_source_Ag_property]
type = SpeciesSourceMaterial
property_name = Ag_generation
kind = Ag
block = fuel
[]
[mass_source_Cs_property]
type = SpeciesSourceMaterial
property_name = Cs_generation
kind = Cs
block = fuel
[]
[mass_source_Sr_property]
type = SpeciesSourceMaterial
property_name = Sr_generation
kind = Sr
block = fuel
[]
### PyC properties
[PyC_thermal]
type = HeatConductionMaterial
block = PyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_density]
type = StrainAdjustedDensity
block = PyC
density = 1988.0
[]
[PyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = PyC
d1 = 1.0e-6 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[PyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = PyC
d1 = 1.0e-6 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[PyC_conc_Sr]
type = ArrheniusDiffusionCoef
block = PyC
d1 = 1.0e-6 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature conc_Ag conc_Cs conc_Sr'
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-9
nl_abs_tol = 1e-9
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 31890240
dt = 86400
[]
[Postprocessors]
[release_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[release_Ag_inc]
type = SideIntegralMassFlux
variable = conc_Ag
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
execute_on = 'initial timestep_end'
[]
[released_Ag]
type = TimeIntegratedPostprocessor # computes time integration of value
value = release_Ag_inc
execute_on = 'initial timestep_end'
[]
[total_Ag]
type = ElementIntegralMaterialProperty
mat_prop = Ag_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Ag_released]
type = FractionalRelease
released = released_Ag
total = total_Ag
[]
[retained_Ag]
type = ElementIntegralVariablePostprocessor
variable = conc_Ag
[]
[release_Cs_inc]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
execute_on = 'initial timestep_end'
[]
[released_Cs]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
execute_on = 'initial timestep_end'
[]
[total_Cs]
type = ElementIntegralMaterialProperty
mat_prop = Cs_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Cs_released]
type = FractionalRelease
released = released_Cs
total = total_Cs
[]
[retained_Cs]
type = ElementIntegralVariablePostprocessor
variable = conc_Cs
[]
[release_Sr_inc]
type = SideIntegralMassFlux
variable = conc_Sr
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
execute_on = 'initial timestep_end'
[]
[released_Sr]
type = TimeIntegratedPostprocessor
value = release_Sr_inc
execute_on = 'initial timestep_end'
[]
[total_Sr]
type = ElementIntegralMaterialProperty
mat_prop = Sr_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Sr_released]
type = FractionalRelease
released = released_Sr
total = total_Sr
[]
[retained_Sr]
type = ElementIntegralVariablePostprocessor
variable = conc_Sr
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
exodus = false
csv = true
[]
(examples/spent_fuel/full_life_cycle_coarse/discrete.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
# Modifying the base model to simulate the complete fuel life cycle from
# irradiation through dry storage
# Irradiation Time 3 years (6% burnup, ~ 60 MWd/kgU)
# Spent Fuel Pool 3 years
# Vacuum Drying 24 hours
# Dry Cask Storage (DCSS) 5 years
#
irrad_ramp = 8.64e4
irrad_end = 9.46944e7
cool_start = 9.47808e7
cool_end = 4.101408e8
dry_start = 4.101409e8
# dry_end = 4.102272e8 # 24 hour drying
dry_end = 4.101696e8 # 8 hour drying
# store_end = 5.679072e8 # 5 yrs storage
store_end = 4.732416e8 # 2 yrs storage
#
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
temperature = temp
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 20 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = coarse10_rz.e
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temp]
initial_condition = 298.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[max_fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear
x = '0 ${irrad_ramp} ${irrad_end} ${cool_start}'
y = '0 25e3 25e3 0'
[]
[axial_peaking_factors]
type = PiecewiseLinear
axis = y
x = '0.00324 0.0151 0.10998 0.12184'
y = '1.0 1.0 1.0 1.0'
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[coolant_pressure]
type = PiecewiseLinear
# ---- irrad ---- --- pool --- - storage -
x = '0 ${irrad_ramp} ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
y = '1e5 15.5e6 15.5e6 2e5 2e5 1e5 1e5 1e5'
[]
[coolant_temperature]
type = PiecewiseLinear
# ---- irrad ---- --- pool --- - storage -
x = '0 ${irrad_ramp} ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
y = '300 587 587 308 308 308 308 308'
[]
[coolant_htc]
type = PiecewiseLinear
# From CoolantChannel model, HTC falls from 37000 to 22000 as the oxide grows.
# Coolant flow is maintained until after CZP, then 1 more day. Flow is then reduced until the
# correct htc for natural convection is achieved (~400 W/m2-K).
# Drying is handled by DryCaskHeatFlux.
x = '0 ${irrad_ramp} 7e7 ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
y = '37e3 37e3 25e3 22e3 400 400 0 0 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate
decay_heat_function = decay_heat_function
max_fission_rate = max_fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[max_fission_rate]
type = MaxFissionRateAux
variable = max_fission_rate
block = pellet_type_1
fission_rate = fission_rate
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = nonlinear
[]
[creep_strain_mag]
type = MaterialRealAux
block = clad
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 1.0
function = coolant_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[convective_clad_surface] # apply convective boundary to clad outer surface
type = ConvectiveFluxFunction
boundary = '1 2 3'
variable = temp
coefficient = 'coolant_htc'
T_infinity = 'coolant_temperature'
[]
[cask_cooling]
type = DryCaskHeatFlux
variable = temp
boundary = '1 2 3'
bwr_or_pwr = 'pwr'
fill_gas = 'helium'
ambient_temperature = 298
cask_effective_htc = 3.1 # W/K from each assembly to ambient
start_time = ${cool_end}
drying_duration = 86400
[]
[]
[Controls]
[DCSS]
type = TimePeriod
disable_objects = 'BCs/convective_clad_surface'
start_time = ${cool_end}
end_time = 1e9
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 'pellet_type_1'
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = '2'
clad_inner_radius = 0.00418
clad_outer_radius = 0.00474
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
outputs = all
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
initial_fuel_density = 10431.0
gas_swelling_model_type = SIFGRS
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1'
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 0.3
relocation_activation1 = 5000
eigenstrain_name = fuel_relocation_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 'clad'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_creep_model]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 298.0
eigenstrain_name = clad_thermal_strain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_growth_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
# PETSC options:
# petsc_options
# petsc_options_iname
# petsc_options_value
#
# controls for linear iterations
# l_max_its
# l_tol
#
# controls for nonlinear iterations
# nl_max_its
# nl_rel_tol
# nl_abs_tol
#
# time control
# start_time
# dt
# optimal_iterations
# iteration_window
# linear_iteration_ratio
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 35
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -200
n_startup_steps = 1
end_time = ${store_end}
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 20
iteration_window = 6
time_t = '0 ${irrad_ramp} ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
time_dt ='1e3 1e4 1e3 100 100 100 100 100'
growth_factor = 1.5
cutback_factor = .6
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = linear
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[decay_heat_function]
type = DecayHeatFunction
time_at_shutdown = ${cool_start}
table_or_sum = sum
[]
[peak_clad_temp]
type = NodalExtremeValue
variable = temp
block = 'clad'
execute_on = 'timestep_end'
[]
[max_clad_hoop_stress]
type = ElementExtremeValue
variable = stress_zz
block = 'clad'
value_type = 'max'
execute_on = 'timestep_end'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[peak_oxide_thickness]
type = ElementExtremeValue
variable = oxide_thickness
block = 'clad'
value_type = 'max'
execute_on = 'timestep_end'
[]
[]
[VectorPostprocessors]
[clad_surf_props]
type = LineValueSampler
variable = 'oxide_thickness temp stress_zz'
start_point = '0.00467 0.0001 0'
end_point = '0.00467 0.1279 0'
num_points = 100
sort_by = y
outputs = 'outfile_1'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
show = 'peak_clad_temp peak_oxide_thickness max_clad_hoop_stress'
execute_on = final
[]
[]
(assessment/MOX/JOYO/MK-II/analysis/MK-II_master_old_bubble_gb_lim.i)
initial_fuel_density = 10920.4
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.07
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.55
pellet_outer_radius = 0.002315
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000085
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.549
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 10
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 12697021'
y = '0 48827.8 48827.8'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 12697021'
y = '0 2.6e+19 2.6e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12697021'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 12697021'
y = '0 40000 40000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12697021'
z = '295 295 295 295 295 295 295 295 416.36 422.49 428.63 434.27 439.36 444.71 450.07 455.48'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.07
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00463
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10920.4
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-2
fixed_point_rel_tol = 1e-2
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-2
nl_abs_tol = 1e-2
start_time = 0
n_startup_steps = 1
end_time = 12697021
dtmax = 2e5
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.55 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-II_sub_old_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(assessment/metallic_fuel/EBRII/X430/analysis/template.i)
# TEMPLATE FILE
# This is not an input file. It is a template used to populate the input files.
# Changes made to this file will be applied to all 25 X430 input files.
# Values used for individual pins are stored in pin_inputs.csv. Input files are
# generated using the Python script generate_input_files.py.
# X430 ASSESSMENT CASE
# BISON recreation of the 52-pin X430 experiment series, which was irradiated in
# EBR-II from 1987-88 to a peak burnup of about 10 at%. The subassembly
# contained 37 pins and was irradiated in three experiments: X430, X430A, and
# X430B. After each experiment, pins were removed, examined, replaced as
# necessary, and the subassembly was reconstructed. BISON simulations were
# developed for 25 of the pins, of which 2 are
# assessments. Legacy calculations and PIE measurements are available for all 25
# pins. Units are in standard SI: J, K, kg, m, Pa, s.
# For a more complete description of the experiments, see [Hayes et al., 1994].
# For a more complete description of the development and results of this
# assessment, see [Greenquist and Powers, 2021].
# This file simulates pin %{pin} with a composition of %{composition}.
[GlobalParams]
dim = 2
order = SECOND
family = LAGRANGE
elem_type = QUAD8
energy_per_fission = 3.2e-11 # [Shultis and Faw, 2008]
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
temperature = T
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = ref
extra_tag_vectors = ref
[]
[Mesh]
coord_type = RZ
# Mesh includes a fuel slug and cladding. All dimensions are in meters. See
# [Hayes et al., 1994] and [Greenquist and Powers, 2021] for more complete
# descriptions.
type = MeshGeneratorMesh
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
# build cladding
[bottom_plug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.0032786
nx = 5
ymin = 0.0
ymax = 0.015
ny = 4
[]
[bottom_corner]
type = GeneratedMeshGenerator
xmin = 0.0032786
xmax = 0.003685
nx = 8
ymin = 0.0
ymax = 0.015
ny = 4
[]
[bottom_corner_rename_side]
type = SideSetsFromNormalsGenerator
input = bottom_corner
normals = '0 1 0'
new_boundary = new_side
[]
[combine_bottom_and_bottom_corner]
type = StitchedMeshGenerator
inputs = 'bottom_plug bottom_corner_rename_side'
stitch_boundaries_pairs = 'right left'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[cladding_wall]
type = GeneratedMeshGenerator
xmin = 0.0032786
xmax = 0.003685
nx = 8
ymin = 0.015
ymax = 0.72565
ny = 120
[]
[cladding_wall_rename_side]
type = SideSetsFromNormalsGenerator
input = cladding_wall
normals = '0 1 0'
new_boundary = new_side
[]
[combine_bottom_and_wall]
type = StitchedMeshGenerator
inputs = 'combine_bottom_and_bottom_corner cladding_wall_rename_side'
stitch_boundaries_pairs = '4 bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[top_corner]
type = GeneratedMeshGenerator
xmin = 0.0032786
xmax = 0.003685
nx = 8
ymin = 0.72565
ymax = 0.74065
ny = 4
[]
[top_corner_rename_side]
type = SideSetsFromNormalsGenerator
input = top_corner
normals = '-1 0 0'
new_boundary = new_side
[]
[combine_wall_and_top_corner]
type = StitchedMeshGenerator
inputs = 'combine_bottom_and_wall top_corner_rename_side'
stitch_boundaries_pairs = '4 bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[top_plug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.0032786
nx = 5
ymin = 0.72565
ymax = 0.74065
ny = 4
[]
[cladding_all]
type = StitchedMeshGenerator
inputs = 'combine_wall_and_top_corner top_plug'
stitch_boundaries_pairs = '4 right'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
# build fuel
[fuel_slug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = %{fuel_r}
nx = 5
ymin = 0.019
ymax = %{fuel_top}
ny = 250
[]
# combine and name subdomains
[combine_fuel_cladding]
type = CombinerGenerator
inputs = 'cladding_all fuel_slug'
[]
[name_cladding]
type = SubdomainBoundingBoxGenerator
input = combine_fuel_cladding
bottom_left = '0.0 0.0 0.0'
top_right = '0.003685 0.74065 0.0'
location = INSIDE
block_id = 0
block_name = clad
[]
[name_fuel]
type = SubdomainBoundingBoxGenerator
input = name_cladding
bottom_left = '0.0 0.019 0.0'
top_right = '%{fuel_r} %{fuel_top} 0.0'
location = INSIDE
block_id = 1
block_name = pellet
[]
# name boundaries
[name_centerline]
type = SideSetsFromNormalsGenerator
input = name_fuel
normals = '-1 0 0'
new_boundary = centerline
replace = true
[]
[name_slug_outer_surface]
type = SideSetsFromNormalsGenerator
input = name_centerline
normals = '1 0 0'
new_boundary = pellet_outer_radial_surface
replace = true
[]
[name_slug_ends]
type = SideSetsFromPointsGenerator
input = name_slug_outer_surface
points = '0.50e-3 0.019 0.0
0.50e-3 %{fuel_top} 0.0'
new_boundary = 'bottom_of_bottom_pellet top_of_top_pellet'
replace = true
[]
[name_cladding_inside]
type = SideSetsFromPointsGenerator
input = name_slug_ends
points = '0.50e-3 0.015 0.0
0.0032786 0.36 0.0
0.50e-3 0.72565 0.0'
new_boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
replace = true
[]
[name_cladding_outer_surface]
type = SideSetsFromPointsGenerator
input = name_cladding_inside
points = '0.003685 0.36 0.0
0.50e-3 0.0 0.0
0.50e-3 0.74065 0.0'
new_boundary = 'clad_outside_right clad_outside_bottom clad_outside_top'
replace = true
[]
[]
[Variables]
[T]
initial_condition = 298
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[fuel_clad_gap_width]
order = FIRST
family = LAGRANGE
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[fuel_volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_stress]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_elastic_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_total_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[local_power]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[T_coolant]
order = CONSTANT
family = MONOMIAL
[]
[pin_lhr]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[eutectic_thickness]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[assembly_lhr_avg_function]
# Subassembly average LHR as a function of time. x: time (s), y: average
# LHGR (W/m). See [Greenquist and Powers, 2021].
type = PiecewiseLinear
x = ' 0 3600 8203212 8206812 13814423 13818023 14428975 14432575
21312419 21316019 25596874 25600474 26261755 26265355 32714598 32718198
32721798 32725398 32728998 32896765 32900365 39574695 39578295 42194062
42197662 43820808 43824408 43895709 43899309 44401212 44404812 47385472
47389072 48198548 48202148 48205748 48209348 48212948 52079977 52083577
53874489 53878089 62125235 62128835 62256058 62259658 62620357 62623957
64516928 64520528 64766586 64770186 67535546 67539146 72155534 72159134
72185697 72189297 76833647 76837247 77340548 77344148 77738400 77742000
80444447 80448047 80451647 80455247'
y = ' 0.0 44225.3 44225.3 43106.1 43106.1 41403.6 41403.6 41119.9
41119.9 38881.4 38881.4 38353.3 38353.3 39472.5 39472.5 0.0
0.0 0.0 33490.2 33490.2 36863.6 36863.6 37123.7 37123.7
32717.8 32717.8 38534.6 38534.6 38432.1 38432.1 36784.8 36784.8
36036.0 36036.0 0.0 0.0 0.0 35153.3 35153.3 35153.3
35153.3 35271.5 35271.5 33663.6 33663.6 34459.7 34459.7 34640.9
34640.9 34428.1 34428.1 34026.2 34026.2 33624.2 33624.2 33624.2
33624.2 33718.8 33718.8 34057.7 34057.7 34057.7 34057.7 34215.3
34215.3 0.0 0.0 0.0'
[]
[radial_peaking_factor_function]
# Adjusts the pin's average LHR based on its location in the subassembly.
# x: time [s], y: relative LHR change. See [Greenquist and Powers, 2021].
type = PiecewiseLinear
x = ' 0 32718198
32725398 48202148
48209348 80455247'
y = '%{rad_LHR_X430} %{rad_LHR_X430}
%{rad_LHR_X430a} %{rad_LHR_X430a}
%{rad_LHR_X430b} %{rad_LHR_X430b}'
[]
[lhr_peaking_factor_function]
# Axial variation from the average LHR. x: axial position (m), y: time (s),
# z: peaking factor. See [Hayes et al., 1994] and
# [Greenquist and Powers, 2021].
#
type = PiecewiseBilinear
xaxis = 1
yaxis = 0
y = '0 32725398 48209348 80455247'
x = '0.018 0.019 %{z01} %{z02} %{z03} %{z04}
%{z05} %{z06} %{z07} %{z08} %{z09}
%{fuel_top} %{z11}'
z = '0.0000 %{pX430_00} %{pX430_01} %{pX430_02} %{pX430_03} %{pX430_04}
%{pX430_05} %{pX430_06} %{pX430_07} %{pX430_08} %{pX430_09}
%{pX430_10} 0.0000
0.0000 %{pX430a_00} %{pX430a_01} %{pX430a_02} %{pX430a_03} %{pX430a_04}
%{pX430a_05} %{pX430a_06} %{pX430a_07} %{pX430a_08} %{pX430a_09}
%{pX430a_10} 0.0000
0.0000 %{pX430b_00} %{pX430b_01} %{pX430b_02} %{pX430b_03} %{pX430b_04}
%{pX430b_05} %{pX430b_06} %{pX430b_07} %{pX430b_08} %{pX430b_09}
%{pX430b_10} 0.0000
0.0000 %{pEOL_00} %{pEOL_01} %{pEOL_02} %{pEOL_03} %{pEOL_04}
%{pEOL_05} %{pEOL_06} %{pEOL_07} %{pEOL_08} %{pEOL_09}
%{pEOL_10} 0.0000'
[]
[coolant_flux_function]
# Subassembly coolant mass flux. x: time (s), y: flux (kg m^-2 s^-1). See
# [Hayes et al., 1994] and [Greenquist and Powers, 2021].
type = PiecewiseLinear
x = ' 0 3600 8203212 8206812 13814423 13818023 14428975 14432575
21312419 21316019 25596874 25600474 26261755 26265355 32714598 32718198
32721798 32725398 32728998 32896765 32900365 39574695 39578295 42194062
42197662 43820808 43824408 43895709 43899309 44401212 44404812 47385472
47389072 48198548 48202148 48205748 48209348 48212948 52079977 52083577
53874489 53878089 62125235 62128835 62256058 62259658 62620357 62623957
64516928 64520528 64766586 64770186 67535546 67539146 72155534 72159134
72185697 72189297 76833647 76837247 77340548 77344148 77738400 77742000
80444447 80448047 80451647 80455247'
y = ' 2699.1 2699.1 2699.1 2724.0 2724.0 2697.2 2697.2 2781.0
2781.0 2721.1 2721.1 2696.9 2696.9 2785.4 2785.4 2785.4
2785.4 2785.4 2793.7 2793.7 2803.5 2803.5 2814.2 2814.2
2799.6 2799.6 2840.1 2840.1 2839.6 2839.6 2873.7 2873.7
2855.7 2855.7 2855.7 2855.7 2855.7 2826.4 2826.4 2826.4
2826.4 2788.4 2788.4 2780.6 2780.6 2771.8 2771.8 2781.5
2781.5 2817.1 2817.1 2807.4 2807.4 2777.1 2777.1 2777.1
2777.1 2746.4 2746.4 2765.9 2765.9 2765.9 2765.9 2777.1
2777.1 2777.1 2777.1 2777.1'
[]
[pin_lhr_avg_function]
type = CompositeFunction
functions = 'assembly_lhr_avg_function radial_peaking_factor_function'
[]
[pin_lhr_function]
type = CompositeFunction
functions = 'pin_lhr_avg_function lhr_peaking_factor_function'
[]
[coolant_pressure_function]
type = ConstantFunction
value = 347702.6 # [Snyder, 1988]
[]
[T_coolant_in_function]
# Sodium coolant inlet temperature. x: time (s), y: temperature (K). See
# [Hayes et al., 1994].
type = PiecewiseLinear
x = ' 0 3600 32718198 32721798 32725398 32728998 48202148 48205748
48209348 48212948 80448047 80451647 80455247'
y = ' 298.00 644.15 644.15 305.00 305.00 644.15 644.15 305.00
305.00 644.15 644.15 305.00 305.00'
[]
[sodium_volume_function]
# the initial sodium height is assumed to be equal to the initial fuel
# height and sodium infiltration is ignored.
type = ParsedFunction
symbol_names = 'pellet_outer_radius cladding_gap_width pellet_height'
symbol_values = '%{fuel_r} %{gap_width} %{fuel_h}'
expression = 'pi * ((pellet_outer_radius + cladding_gap_width)^2 -
pellet_outer_radius^2) * pellet_height'
[]
[gas_volume_function]
type = ParsedFunction
symbol_names = 'clad_internal_volume fuel_volume sodium_volume'
symbol_values = 'clad_internal_volume fuel_volume sodium_volume'
expression = 'abs(clad_internal_volume) - abs(fuel_volume) - abs(sodium_volume)'
[]
[sodium_conductivity_function]
# Thermal conductivity (W m^-1 K^-1) of the pin gap sodium according to
# [Fink and Leibowitz, 1995]. t: temperature (K).
type = ParsedFunction
symbol_names = 'A B C D'
symbol_values = '124.67 -0.11381 5.5226e-5 -1.1842e-8'
expression = 'A + B * t + C * t^2 + D * t^3'
[]
[creep_timestep_min_function]
type = ParsedFunction
symbol_names = 'creep_timestep_fuel creep_timestep_clad'
symbol_values = 'creep_timestep_fuel creep_timestep_clad'
expression = 'min(creep_timestep_fuel, creep_timestep_clad)'
[]
[fuel_axial_elongation_max_pct_function]
type = ParsedFunction
symbol_names = 'fuel_axial_elongation_min fuel_axial_elongation_max pellet_height'
symbol_values = 'fuel_axial_elongation_min fuel_axial_elongation_max %{fuel_h}'
expression = '(fuel_axial_elongation_max - fuel_axial_elongation_min) /
pellet_height * 100'
[]
[fuel_radial_dilation_max_pct_function]
type = ParsedFunction
symbol_names = 'fuel_radial_dilation_max pellet_outer_radius'
symbol_values = 'fuel_radial_dilation_max %{fuel_r}'
expression = 'fuel_radial_dilation_max / pellet_outer_radius * 100'
[]
[clad_axial_elongation_max_pct_function]
type = ParsedFunction
symbol_names = 'clad_axial_elongation_max plug_height cladding_total_height'
symbol_values = 'clad_axial_elongation_max 0.015 0.74065'
expression = 'clad_axial_elongation_max /
(plug_height + cladding_total_height) * 100'
[]
[clad_radial_dilation_max_pct_function]
type = ParsedFunction
symbol_names = 'clad_radial_dilation_max cladding_outer_radius'
symbol_values = 'clad_radial_dilation_max 0.003685'
expression = 'clad_radial_dilation_max / cladding_outer_radius * 100'
[]
[plenum_compressibility_function]
# Accounts for nonideality in fission gas [Hobbs and Charboneau, 2020]
type = ParsedFunction
symbol_names = 'plenum_pressure A B C'
symbol_values = 'plenum_pressure 1.002 -3.4e-8 -1.9e-15'
expression = 'A + B * plenum_pressure + C * plenum_pressure^2'
[]
[compressibility_times_temperature_function]
type = ParsedFunction
symbol_names = 'plenum_temperature plenum_compressibility'
symbol_values = 'plenum_temperature plenum_compressibility'
expression = 'plenum_temperature * plenum_compressibility'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy
creep_strain_zz elastic_strain_xx elastic_strain_yy
elastic_strain_zz strain_xx strain_yy strain_zz'
[fuel_mechanics]
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_gaseous_strain
fuel_solid_strain'
extra_vector_tags = ref
[]
[clad_mechanics]
block = clad
eigenstrain_names = 'clad_thermal_strain clad_gaseous_strain'
extra_vector_tags = ref
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = ref
[]
[heat_conduction_time_derivative]
type = HeatConductionTimeDerivative
variable = T
extra_vector_tags = ref
[]
[heat_conduction]
type = HeatConduction
variable = T
extra_vector_tags = ref
[]
[heat_source]
type = FissionRateHeatSource
block = pellet
variable = T
fission_rate = fission_rate
extra_vector_tags = ref
[]
[]
[AuxKernels]
[gap_conductance]
type = MaterialRealAux
variable = gap_conductance
property = gap_conductance
boundary = pellet_outer_radial_surface
[]
[fuel_clad_gap_width]
type = ParsedAux
variable = fuel_clad_gap_width
coupled_variables = penetration
expression = '-penetration'
[]
[failed_element]
type = MaterialRealAux
variable = element_failed
property = failed
boundary = clad_outside_right
[]
[fuel_volumetric_strain]
type = RankTwoScalarAux
block = pellet
variable = fuel_volumetric_strain
rank_two_tensor = total_strain
scalar_type = VolumetricStrain
[]
[clad_hoop_stress]
type = RankTwoAux
block = clad
variable = clad_hoop_stress
rank_two_tensor = stress
index_i = 2
index_j = 2
[]
[clad_hoop_creep_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_creep_strain
rank_two_tensor = creep_strain
index_i = 2
index_j = 2
[]
[clad_hoop_elastic_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_elastic_strain
rank_two_tensor = elastic_strain
index_i = 2
index_j = 2
[]
[clad_hoop_total_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_total_strain
rank_two_tensor = total_strain
index_i = 2
index_j = 2
[]
[local_power]
type = FunctionAux
block = pellet
variable = local_power
function = lhr_peaking_factor_function
[]
[T_coolant]
type = MaterialRealAux
variable = T_coolant
property = coolant_temperature
boundary = clad_outside_right
[]
[pin_lhr]
type = FunctionAux
block = pellet
variable = pin_lhr
function = pin_lhr_function
[]
[eutectic_thickness]
type = DiffusionalEutecticThicknessFCCI
block = clad
variable = eutectic_thickness
temperature = T
boundary = clad_inside_right
execute_on = TIMESTEP_END
[]
[]
[Contact]
[frictionless_fuel_clad_mechanical]
primary = clad_inside_right
secondary = pellet_outer_radial_surface
model = frictionless
formulation = kinematic
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = T
primary = clad_inside_right
secondary = pellet_outer_radial_surface
gap_geometry_type = CYLINDER
gap_conductivity_function = sodium_conductivity_function
gap_conductivity_function_variable = T
quadrature = true
min_gap = %{gap_width} # Initial gap thickness according to dimensions.
tangential_tolerance = 1e-4
[]
[]
[BCs]
[fix_disp_x_all]
type = DirichletBC
variable = disp_x
value = 0.0
boundary = centerline
[]
[fix_disp_y_all]
type = DirichletBC
variable = disp_y
value = 0.0
boundary = 'clad_outside_bottom bottom_of_bottom_pellet'
[]
[Pressure]
[coolant_pressure]
function = coolant_pressure_function
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
[]
[]
[PlenumPressure]
[plenum_pressure]
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
startup_time = 0
initial_pressure = 84000 # [Hayes et al., 1994]
volume = gas_volume
material_input = fission_gas_released
R = 8.3143
temperature = plenum_temperature
output = plenum_pressure
[]
[]
[]
[PlenumTemperature]
[plenum_temperature]
temperature = T
boundary = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet clad_inside_bottom clad_inside_right
clad_inside_top'
inner_surfaces = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet'
outer_surfaces = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[CoolantChannel]
[convective_clad_surface]
variable = T
inlet_temperature = T_coolant_in_function
inlet_pressure = coolant_pressure_function
inlet_massflux = coolant_flux_function
coolant_material = sodium
rod_diameter = 0.00737 # [Hayes et al., 1994]
rod_pitch = %{pin_pitch}
linear_heat_rate = pin_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
subchannel_geometry = triangular
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
[]
[]
[Materials]
###### FUEL ######
[fuel_fission_rate]
type = UPuZrFissionRate
block = pellet
rod_linear_power = pin_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
pellet_radius = %{fuel_r}
initial_X_Zr = %{x_Zr}
X_Zr = %{x_Zr}
outputs = exodus
output_properties = fission_rate
[]
[fuel_burnup]
type = UPuZrBurnup
block = pellet
density = %{fuel_density}
initial_X_Pu = %{x_Pu}
initial_X_Zr = %{x_Zr}
outputs = exodus
output_properties = burnup
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = %{fuel_density}
[]
[fuel_sodium_logging]
type = UPuZrSodiumLogging
block = pellet
porosity = porosity
sodium_infiltration_fraction = %{na_infiltration}
outputs = exodus
output_properties = sodium_logged_porosity
[]
[fuel_thermal_properties]
type = UPuZrThermal
block = pellet
X_Pu = %{x_Pu}
X_Zr = %{x_Zr}
spheat_model = savage
thcond_model = lanl
porosity_model = logged
porosity = porosity
sodium_logged_porosity = sodium_logged_porosity
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = pellet
X_Pu = %{x_Pu}
X_Zr = %{x_Zr}
porosity = porosity
[]
[fuel_creep]
type = UPuZrCreepUpdate
block = pellet
porosity = porosity
max_inelastic_increment = 3e-3
effective_inelastic_strain_name = fuel_effective_creep_strain
[]
[fuel_gaseous_swelling]
type = UPuZrGaseousEigenstrain
block = pellet
fission_rate = fission_rate
anisotropic_factor = 0.5
bubble_number_density = 5e17
interconnection_initiating_porosity = %{fgr_initiating_porosity}
interconnection_terminating_porosity = %{fgr_terminating_porosity}
eigenstrain_name = fuel_gaseous_strain
outputs = exodus
output_properties = 'gas_swelling porosity interconnectivity'
[]
[fuel_solid_swelling]
type = BurnupDependentEigenstrain
block = pellet
eigenstrain_name = fuel_solid_strain
swelling_name = solid_swelling
swelling_factor = 0 # Solid swelling is negligible below 10% burnup
outputs = exodus
output_properties = solid_swelling
[]
[fuel_fission_gas_release]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
porosity = porosity
critical_porosity = %{critical_porosity}
fractional_fgr_initial = %{fgr_initial}
fractional_fgr_post = %{fgr_post}
[]
[fuel_thermal_expansion]
type = UPuZrThermalExpansionEigenstrain
block = pellet
stress_free_temperature = 298
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
block = pellet
inelastic_models = fuel_creep
[]
###### CLADDING ######
[fast_neutron_flux]
type = UPuZrFastNeutronFlux
pellet_radius = %{fuel_r}
axial_power_profile = lhr_peaking_factor_function
rod_linear_power = pin_lhr_avg_function
initial_density = %{fuel_density}
initial_X_Pu = %{x_Pu}
initial_X_Zr = %{x_Zr}
enrichment_U235 = %{enrichment_U}
enrichment_Pu240 = %{enrichment_Pu}
calculate_fluence = true
outputs = exodus
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7771
[]
[clad_thermal_properties]
type = HT9Thermal
block = clad
[]
[clad_gaseous_swelling]
type = HT9VolumetricSwellingEigenstrain
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_gaseous_strain
[]
[clad_thermal_expansion]
type = HT9ThermalExpansionEigenstrain
block = clad
eigenstrain_name = clad_thermal_strain
stress_free_temperature = 298
[]
[clad_elasticity_tensor]
type = HT9ElasticityTensor
block = clad
[]
[clad_creep]
type = HT9CreepUpdate
block = clad
first_thermal_scalar = 1
second_thermal_scalar = 1
irradiation_scalar = 1
max_inelastic_increment = 3e-3 # 1e-2
effective_inelastic_strain_name = clad_effective_creep_strain
[]
[clad_failure]
type = HT9FailureClad
method = cdf_long
hoop_stress = stress_zz
boundary = clad_outside_right
outputs = exodus
output_properties = cdf_failure
[]
[inner_clad_wastage]
type = MetallicFuelWastage
block = clad
method = flux_ht9
burnup = 0 # not used but must be specified
outputs = exodus
output_properties = wastage_thickness
[]
[outer_clad_wastage]
type = MetallicFuelCoolantWastage
block = clad
clad_material = HT9
use_effective_method = true
outputs = exodus
[]
[clad_wastage_fraction]
type = MetallicFuelWastageDamage
block = clad
wastage_thickness = wastage_thickness
pellet_length = %{fuel_h}
pellet_y_start = 0.019
cladding_thickness = 0.0004064
outputs = exodus
[]
[clad_damage_fraction]
type = ScalarMaterialDamage
block = clad
damage_index = thinning_fraction
outputs = exodus
[]
[clad_elastic_stress]
type = ComputeMultipleInelasticStress
block = clad
inelastic_models = clad_creep
[]
[]
[Dampers]
[T_damper]
type = MaxIncrement
variable = T
max_increment = 25
[]
[disp_x_damper]
type = MaxIncrement
variable = disp_x
max_increment = 3.00E-04
[]
[disp_y_damper]
type = MaxIncrement
variable = disp_y
max_increment = 3.00E-04
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package
-ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist
51'
line_search = NONE
l_max_its = 30
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 5e-7
start_time = %{t_start}
end_time = %{t_end}
dtmin = 1e-2
dtmax = 1e6
verbose = true
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
optimal_iterations = 10
iteration_window = 4
growth_factor = 1.25
cutback_factor = 0.512
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = assembly_lhr_avg_function
timestep_limiting_postprocessor = creep_timestep_min
[]
[]
[Postprocessors]
###### POWER ######
[fission_rate_density_avg]
type = ElementAverageValue
block = pellet
variable = fission_rate
outputs = csv
[]
[fast_neutron_fluence_avg]
type = ElementAverageValue
variable = fast_neutron_fluence
outputs = 'csv chkfile'
[]
[fast_neutron_fluence_max]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = max
outputs = 'csv chkfile'
[]
[pin_hr_tot]
type = ElementIntegralPower
block = pellet
variable = T # required but not actually used
use_material_fission_rate = true
fission_rate_material = fission_rate
outputs = csv
[]
[pin_lhr_avg]
type = FunctionValuePostprocessor
function = pin_lhr_avg_function
outputs = csv
[]
###### HEAT TRANSFER ######
[radial_heat_flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = T
boundary = pellet_outer_radial_surface
diffusivity = thermal_conductivity
outputs = csv
[]
[radial_heat_flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = T
boundary = clad_outside_right
diffusivity = thermal_conductivity
outputs = csv
[]
###### FISSION GAS ###### (needed for simulation to run)
[fission_gas_produced]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_prod
outputs = 'csv chkfile'
[]
[fission_gas_released]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_rel
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[fission_gas_released_pct]
type = FGRPercent
fission_gas_generated = fission_gas_produced
fission_gas_released = fission_gas_released
outputs = 'console csv chkfile'
[]
[clad_internal_volume]
type = InternalVolume
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[fuel_volume]
type = InternalVolume
boundary = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet'
scale_factor = -1 # makes the fuel volume positive
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[sodium_volume]
type = FunctionValuePostprocessor
function = sodium_volume_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[gas_volume]
type = FunctionValuePostprocessor
function = gas_volume_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[plenum_compressibility]
type = FunctionValuePostprocessor
function = plenum_compressibility_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[compressibility_times_temperature]
type = FunctionValuePostprocessor
function = compressibility_times_temperature_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
###### BURNUP ######
[burnup_max]
type = ElementExtremeValue
block = pellet
variable = burnup
value_type = max
outputs = csv
[]
[burnup_max_pct]
type = LinearCombinationPostprocessor
pp_names = burnup_max
pp_coefs = 100
outputs = 'csv chkfile'
[]
[burnup_avg]
type = ElementAverageValue
block = pellet
variable = burnup
outputs = csv
[]
[burnup_avg_pct]
type = LinearCombinationPostprocessor
pp_names = burnup_avg
pp_coefs = 100
outputs = 'console csv chkfile'
[]
###### FUEL TEMPERATURE ######
[fuel_T_max]
type = ElementExtremeValue
block = pellet
variable = T
value_type = max
outputs = csv
[]
[fuel_T_max_peak]
type = TimeExtremeValue
postprocessor = fuel_T_max
value_type = max
outputs = 'csv chkfile'
[]
[fuel_T_surface_max]
type = NodalExtremeValue
boundary = pellet_outer_radial_surface
variable = T
value_type = max
outputs = csv
[]
[fuel_T_surface_max_peak]
type = TimeExtremeValue
postprocessor = fuel_T_surface_max
value_type = max
outputs = 'csv chkfile'
[]
###### CLADDING TEMPERATURE ######
[clad_T_max]
type = ElementExtremeValue
block = clad
variable = T
value_type = max
outputs = csv
[]
[clad_T_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_max
value_type = max
outputs = csv
[]
[clad_T_inner_surface_max]
type = NodalExtremeValue
boundary = clad_inside_right
variable = T
value_type = max
outputs = csv
[]
[clad_T_inner_surface_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_inner_surface_max
value_type = max
outputs = 'csv chkfile'
[]
[clad_T_outer_surface_max]
type = NodalExtremeValue
boundary = clad_outside_right
variable = T
value_type = max
outputs = csv
[]
[clad_T_outer_surface_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_outer_surface_max
value_type = max
outputs = 'csv chkfile'
[]
###### COOLANT PARAMETERS ######
[T_coolant_in]
type = FunctionValuePostprocessor
function = T_coolant_in_function
outputs = csv
[]
[T_coolant_out]
type = ElementExtremeValue
block = clad
variable = T_coolant
value_type = max
outputs = csv
[]
[coolant_flux]
type = FunctionValuePostprocessor
function = coolant_flux_function
outputs = csv
[]
###### FUEL DEFORMATION ######
[fuel_axial_elongation_min]
type = NodalExtremeValue
block = pellet
variable = disp_y
value_type = min
outputs = csv
[]
[fuel_axial_elongation_max]
type = NodalExtremeValue
block = pellet
variable = disp_y
value_type = max
outputs = csv
[]
[fuel_axial_elongation_max_pct]
type = FunctionValuePostprocessor
function = fuel_axial_elongation_max_pct_function
outputs = 'console csv chkfile'
[]
[fuel_radial_dilation_max]
type = NodalExtremeValue
variable = disp_x
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
[fuel_radial_dilation_max_pct]
type = FunctionValuePostprocessor
function = fuel_radial_dilation_max_pct_function
outputs = csv
[]
###### CLADDING DEFORMATION ######
[clad_axial_elongation_max]
type = NodalExtremeValue
block = clad
variable = disp_y
value_type = max
outputs = csv
[]
[clad_axial_elongation_max_pct]
type = FunctionValuePostprocessor
function = clad_axial_elongation_max_pct_function
outputs = 'csv chkfile'
[]
[clad_radial_dilation_max]
type = NodalExtremeValue
variable = disp_x
boundary = clad_outside_right
value_type = max
outputs = csv
[]
[clad_radial_dilation_max_pct]
type = FunctionValuePostprocessor
function = clad_radial_dilation_max_pct_function
outputs = 'console csv chkfile'
[]
###### GAP DEFORMATION AND MECHANICS ######
[gap_width_min]
type = NodalExtremeValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
value_type = min
outputs = csv
[]
[gap_width_max]
type = NodalExtremeValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
[gap_width_avg]
type = SideAverageValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
outputs = csv
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = contact_pressure
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
###### FUEL MECHANICS ######
[fuel_hydrostatic_stress_min]
type = ElementExtremeValue
block = pellet
variable = hydrostatic_stress
value_type = min
outputs = csv
[]
[fuel_hydrostatic_stress_max]
type = ElementExtremeValue
block = pellet
variable = hydrostatic_stress
value_type = max
outputs = csv
[]
[fuel_hydrostatic_stress_avg]
type = ElementAverageValue
block = pellet
variable = hydrostatic_stress
outputs = csv
[]
[fuel_volumetric_strain_avg]
type = ElementAverageValue
block = pellet
variable = fuel_volumetric_strain
outputs = 'csv chkfile'
[]
###### CLADDING MECHANICS ######
[clad_hoop_stress_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_stress
value_type = max
outputs = csv
[]
[clad_hoop_creep_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_creep_strain
value_type = max
outputs = 'csv chkfile'
[]
[clad_hoop_elastic_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_elastic_strain
value_type = max
outputs = 'csv chkfile'
[]
[clad_hoop_total_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_total_strain
value_type = max
outputs = 'csv chkfile'
[]
[cdf_max]
type = ElementExtremeValue
variable = cdf_failure
value_type = max
outputs = 'console csv'
[]
###### PERFORMANCE ######
[creep_timestep_fuel]
type = MaterialTimeStepPostprocessor
block = pellet
outputs = csv
[]
[creep_timestep_clad]
type = MaterialTimeStepPostprocessor
block = clad
outputs = csv
[]
[creep_timestep_min]
type = FunctionValuePostprocessor
function = creep_timestep_min_function
outputs = csv
[]
###### SWELLING ######
[solid_swelling_avg]
type = ElementAverageValue
block = pellet
variable = solid_swelling
outputs = 'csv chkfile'
[]
[gas_swelling_avg]
type = ElementAverageValue
block = pellet
variable = gas_swelling
outputs = 'csv chkfile'
[]
[porosity_avg]
type = ElementAverageValue
block = pellet
variable = porosity
outputs = 'csv chkfile'
[]
[sodium_logged_porosity_avg]
type = ElementAverageValue
block = pellet
variable = sodium_logged_porosity
outputs = 'csv chkfile'
[]
###### CLADDING WASTAGE ######
[wastage_max]
type = ElementExtremeValue
block = clad
variable = wastage_thickness
value_type = max
outputs = 'csv chkfile'
[]
[wastage_min]
type = ElementExtremeValue
block = clad
variable = wastage_thickness
value_type = min
outputs = csv
[]
[wastage_avg]
type = ElementAverageValue
block = clad
variable = wastage_thickness
outputs = csv
[]
[eutectic_max]
type = ElementExtremeValue
block = clad
variable = eutectic_thickness
value_type = max
outputs = csv
[]
[eutectic_min]
type = ElementExtremeValue
block = clad
variable = eutectic_thickness
value_type = min
outputs = csv
[]
[eutectic_avg]
type = ElementAverageValue
block = clad
variable = eutectic_thickness
outputs = csv
[]
[]
[VectorPostprocessors]
[fuel_centerline]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = centerline
sort_by = y
outputs = csv
[]
[fuel_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = pellet_outer_radial_surface
sort_by = y
outputs = csv
[]
[clad_inner_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = clad_inside_right
sort_by = y
outputs = csv
[]
[clad_outer_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = clad_outside_right
sort_by = y
outputs = csv
[]
[]
[PerformanceMetricOutputs]
outputs = 'csv performance'
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_screen = true
[]
[exodus]
type = Exodus
execute_on = 'INITIAL TIMESTEP_END FINAL'
time_step_interval = 50
[]
[csv]
type = CSV
execute_postprocessors_on = 'INITIAL TIMESTEP_END'
execute_vector_postprocessors_on = FINAL
[]
[chkfile]
type = CSV
execute_postprocessors_on = FINAL
[]
[performance]
type = CSV
hide = 'plenum_pressure plenum_temperature'
execute_postprocessors_on = FINAL
[]
[]
# REFERENCES
# [Fink and Leibowitz, 1995]
# J. K. Fink and L. Leibowitz, "Thermodynamic and transport properties of
# sodium liquid and vapor", Argonne National Laboratory ANL/RE--95/2, 94649,
# Argonne, Illinois (1995)
# [Greenquist and Powers, 2021]
# I. Greenquist, J.J. Powers "25-Pin metallic fuel performance benchmark
# case based on the EBR-II X430 experiment series" Journal of Nuclear
# Materials Vol 556, 153211 (2021)
# [Hayes et al., 1994]
# S.L. Hayes, D.C. Crawford, R.G. Phal "Test Design and Postirradiation
# Examination of the HT9 Advanced Driver Fuel Test (X430)" Argonne National
# Laboratory ANL-IFR-225, Idaho Falls, Idaho (1994)
# [Hobbs and Charboneau, 2020]
# I.M. Hobbs, J.A. Charboneau "Compressibility of gas mixtures pertaining to
# nuclear fuel rods" Journal of Physics Comminications Vol. 4, Iss. 9,
# 095008 (2020)
# [Shultis and Faw, 2008]
# J.K. Shultis, R.E. Faw "Fundamentals of Nuclear Science and Engineering
# Second Edition" CRC Press, Boca Raton, Florida (2008)
# [Snyder, 1988]
# E. Snyder "Report of EBR-II Operations: Run 146 and 147", Argonne National
# Laboratory ANLEBR.R146 ANLEBR.R147, Idaho Falls, Idaho (1988)
(assessment/LWR/validation/HbepR1/analysis/H8364/HbepR1_H8364.i)
initial_fuel_density = 10490
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.95e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .0049695
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.68
ny_cl = 3
clad_top_gap_height = 0.244325
clad_gap_width = 1.005e-4
elem_type = QUAD8
[]
patch_size = 100 # 1000 lowering this and setting the strategy to auto will reduce the amount of memory required to run the job.
patch_update_strategy = iteration #auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 273 #K
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.148e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseConstant
data_file = H8364-power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = H8364-axial-profile.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '-100 0 166323600 166327200' #
y = '0.014429 1 1 0.014429'
[]
[temp_ramp]
type = PiecewiseBilinear
data_file = H8364-axial-tempprofile.csv
scale_factor = 1
axis = 1
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz creep_strain_xx
creep_strain_xy creep_strain_yy vonmises_stress creep_strain_zz'
[]
[]
# Define kernels for the various terms in the PDE system
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate # coupling to the fission_rate aux variable
extra_vector_tags = 'ref'
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.6727e13 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.68478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0049695 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0139 .9861 0 0 0 0'
RPF = RPF
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 1.1e-6
roughness_secondary = 3.5e-7
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 # Pa
function = pressure_ramp
[]
[]
[coolant_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = temp_ramp
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 0.375e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
initial_porosity = 0.04
temperature = temp
burnup = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00507
clad_outer_radius = 0.005865
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 273
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 0.009939 # fuel pellet diameter in meters
diametral_gap = 100.5e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = .049 # turn off relocation
relocation_activation1 = 5000
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 273
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10490
total_densification = .0043
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[UserObjects]
[integral_burnup] # Added the computation of the average fuel rod burnup
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 166327200
dtmax = 1e6
dtmin = 0.1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
# Clad postprocessor (The rest are created with StandardLWRFuelRodOutputs)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM043/BFM043.i)
################################################################################
#
# Description: Calvert Cliffs BFM043
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM043_power.csv
# axial peaking factor file BFM043_axial_peaking.csv
# flux boundary condition file BFM043_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31834
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM043_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM043_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179369250 179369610'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179369250 179369610'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM043_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179369610
dtmax = 2.5e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/IFA_597_3/analysis/rod_7/IFA_597_rod7_frictionless.i)
initial_fuel_density = 10500.0
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_iterations = 10
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ifa_597r7.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = '3 4'
initial_condition = 6.1074e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = 597-R7_linear_power.csv
format = columns
scale_factor = 1.0526316
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = 597-R7_axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 269029548 269030508 269055648 269056588 280124964 280125427'
y = '0 1 1 0.014475 0.014475 0.457 0.457 0.014475'
[]
[flux]
type = PiecewiseLinear
data_file = flux.csv
format = columns
[]
[clad_average_temp]
type = PiecewiseLinear
data_file = 597-R7_clad_outer_temperature.csv
format = columns
[]
[q]
type = CompositeFunction
functions = 'power_profile axial_peaking_factors'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = '3 4'
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3 4'
fission_rate = fission_rate
fraction = 0.95 # per Glyn Rossiter's suggestion
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = '3 4'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_lower = 0.00324
a_upper = 0.3571
fuel_inner_radius = 0.000
fuel_outer_radius = 0.0052195
fuel_volume_ratio = .994899
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.03347 0.96653 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '3 4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = 1
variable = creep_strain_mag
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_secondary = 1.3e-6
roughness_primary = 1.38e-6
roughness_coef = 3.2
contact_pressure = contact_pressure
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 269055648
refab_gas_types = He
refab_fractions = 1
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_average_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 #changes to 3.2e6 after 59 MWd/kgUO2
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.0e5 #changes to 5e5 after 59 MWd/kgUO2
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 269055648
refab_pressure = 5e5
refab_temperature = 500
refab_volume = 6e-6
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = '3 4'
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10500.0
[]
[fuel_thermal]
type = UO2Thermal
block = '3 4'
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
initial_porosity = 0.04372
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3 4'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = '3 4'
temperature = temp
stress_free_temperature = 297
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = '3 4'
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = '3 4'
burnup_function = burnup
diameter = 0.010439
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =2.11e-4
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 297
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = '3 4'
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.04372
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING
[]
[density_clad]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = '3 4'
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 280125427
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 20
linear_iteration_ratio = 100
dt = 100
force_step_every_function_point = true
timestep_limiting_function = power_profile
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block ='3 4'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3 4'
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = exodus
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = exodus
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3 4'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.3539 # rod height
[]
[average_fission_rate]
type = AverageFissionRate
rod_ave_lin_pow = power_profile
fuel_outer_radius = 0.0052195
fuel_inner_radius = 0.000
outputs = exodus
[]
[power_tc_location]
type = FunctionValuePostprocessor
function = q
point = '0 0.33319 0'
[]
[TC_temp]
type = NodalVariableValue
variable = temp
nodeid = 7476 # Global NodeID 7477
[]
[elongation]
type = NodalVariableValue
variable = disp_y
nodeid = 1887 # Global NodeID 1888
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = '3 4'
[]
[Outputs]
perf_graph = true
csv = 1
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage TC_temp rod_total_power elongation'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK2/FK02_action.i)
# This file was created using BIF with the following inputs:
# FK02.var - md5sum: 123016ae8f3283a45bae816a366f93b1
# ../pulse_rev1.tpl - md5sum: 8d6b8b4bce1dd830dea2d8522009e514
initial_fuel_density = 10020.6066633
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.085711070864
initial_grain_radius = 5.96e-6
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
total_densification = 0.006
temperature = temperature
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.03481
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temperature'
[]
[AuxVariables]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.085711070864
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 0.0473684210526 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseBilinear
data_file = RadialPowerProfile.csv
axis = 0
[]
[radial_burnup_profile]
type = PiecewiseBilinear
data_file = RadialBurnupProfile.csv
axis = 0
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[pelletid]
type = PelletIdAux
block = 3
fuel_pin_geometry = pin_geometry
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
contact_pressure = mechanical_normal_lm
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temperature]
type = DirichletBC
boundary = '1 2 3'
variable = temperature
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.3e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[NuclearMaterials]
generate_output = 'elastic_strain_xx elastic_strain_yy elastic_strain_zz
stress_xx stress_yy '
'stress_zz strain_xx strain_yy strain_zz vonmises_stress'
fission_operation = 'RIA'
physics = 'Mechanics Thermal'
strain = FINITE
incremental = true
add_variables = true
initial_temperature = 293
stress_free_temperature = 293
extra_vector_tags = 'ref'
[UO2]
[fuel]
block = 3
uo2_models = 'Elastic Burnup Swelling ThermalExpansion'
isotopes = 'U238 U235'
isotope_fractions = '0.961 0.039'
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = linear_heat_rate_profile
rpf_input = radial_power_profile
fuel_volume_ratio = 1
num_radial = 80
num_axial = 49
RIA_initial_burnup = initial_burnup
axial_power_profile = axial_peaking_factors
additional_generate_output = 'hydrostatic_stress'
[]
[]
[ZirconiumAlloy]
[clad]
block = 1
cladding_models = 'Elastic Creep Plasticity ThermalExpansion'
initial_fast_fluence = 8.40e25
flux_function = axial_flux
zircaloy_alloy_type = 4
cold_work_factor = 0.01
plasticity_model_type = MATPRO
matpro_poissons_ratio = true
matpro_youngs_modulus = true
material_output_properties = yield_stress
additional_generate_output = 'creep_strain_xx creep_strain_yy creep_strain_zz'
[]
[]
[]
[Materials]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temperature
fuel_pin_geometry = pin_geometry
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temperature
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temperature
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage '
'peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(test/tests/triso_pebble/triso_1d.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.14029 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '18 14 12 16 16'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 773.15
[]
[conc_Ag]
initial_condition = 0.0
scaling = 1e14
[]
[conc_Cs]
initial_condition = 0.0
scaling = 1e14
[]
[conc_Sr]
initial_condition = 0.0
scaling = 1e14
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Ag_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[Sr_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 5.75e19
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[temp_bc_func]
type = ParsedFunction
expression = temp_bc
symbol_names = temp_bc
symbol_values = temp_bc
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Ag_dt]
type = TimeDerivative
variable = conc_Ag
[]
[mass_Ag]
type = ArrheniusDiffusion
variable = conc_Ag
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
extra_vector_tags = 'ref'
[]
[mass_source_Ag]
type = SpeciesSourceRate
variable = conc_Ag
property_name = Ag_generation
block = fuel
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[mass_source_Cs]
type = SpeciesSourceRate
variable = conc_Cs
property_name = Cs_generation
block = fuel
extra_vector_tags = 'ref'
[]
[mass_Sr_dt]
type = MassLumpedTimeDerivative
variable = conc_Sr
[]
[mass_Sr]
type = ArrheniusDiffusion
variable = conc_Sr
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
extra_vector_tags = 'ref'
[]
[mass_source_Sr]
type = SpeciesSourceRate
variable = conc_Sr
property_name = Sr_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Ag_diff_coef]
type = MaterialRealAux
variable = Ag_diff_coef
property = arrhenius_diffusion_coef_Ag
execute_on = timestep_end
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[Sr_diff_coef]
type = MaterialRealAux
variable = Sr_diff_coef
property = arrhenius_diffusion_coef_Sr
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc_func
boundary = exterior
[]
[freesurf_conc_Ag]
type = DirichletBC
variable = conc_Ag
boundary = exterior
value = 0.0
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[freesurf_conc_Sr]
type = DirichletBC
variable = conc_Sr
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 6.28e17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966.0
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = 10966.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Ag]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 6.7e-9 # m^2/s
q1 = 165e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[fuel_conc_Sr]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 2.2e-3 # m^2/s
q1 = 488e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
[mass_source_Ag_property]
type = SpeciesSourceMaterial
property_name = Ag_generation
kind = Ag
block = fuel
[]
[mass_source_Cs_property]
type = SpeciesSourceMaterial
property_name = Cs_generation
kind = Cs
block = fuel
[]
[mass_source_Sr_property]
type = SpeciesSourceMaterial
property_name = Sr_generation
kind = Sr
block = fuel
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[Buffer_density]
type = ParsedMaterial
block = buffer
property_name = density
expression = 1050.0
[]
[buffer_conc_Ag]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[buffer_conc_Cs]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[buffer_conc_Sr]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = ParsedMaterial
block = IPyC
property_name = density
expression = 1907.0
[]
[IPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[IPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[IPyC_conc_Sr]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 2.3e-6 # m^2/s
q1 = 197e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = ParsedMaterial
block = SiC
property_name = density
expression = 3200.0
[]
[SiC_conc_Ag]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 3.6e-9 # m^2/s
q1 = 215e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[SiC_conc_Cs]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
q1 = 125e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[SiC_conc_Sr]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 1.2e-9 # m^2/s
q1 = 205e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = ParsedMaterial
block = OPyC
property_name = density
expression = 1907.0
[]
[OPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[OPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[OPyC_conc_Sr]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 2.3e-6 # m^2/s
q1 = 197e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature conc_Ag conc_Cs conc_Sr'
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
automatic_scaling = true
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
nl_max_its = 20
nl_forced_its = 2
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
dt = 20000
num_steps = 2
[]
[Postprocessors]
[temp_bc]
type = Receiver
[]
[release_Ag_inc]
type = SideIntegralMassFlux
variable = conc_Ag
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
execute_on = 'initial timestep_end'
[]
[released_Ag]
type = TimeIntegratedPostprocessor # computes time integration of value
value = release_Ag_inc
execute_on = 'initial timestep_end'
[]
[total_Ag]
type = ElementIntegralMaterialProperty
mat_prop = Ag_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Ag_released]
type = FractionalRelease
released = released_Ag
total = total_Ag
[]
[retained_Ag]
type = ElementIntegralVariablePostprocessor
variable = conc_Ag
[]
[release_Cs_inc]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
execute_on = 'initial timestep_end'
[]
[released_Cs]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
execute_on = 'initial timestep_end'
[]
[total_Cs]
type = ElementIntegralMaterialProperty
mat_prop = Cs_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Cs_released]
type = FractionalRelease
released = released_Cs
total = total_Cs
[]
[retained_Cs]
type = ElementIntegralVariablePostprocessor
variable = conc_Cs
[]
[release_Sr_inc]
type = SideIntegralMassFlux
variable = conc_Sr
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
execute_on = 'initial timestep_end'
[]
[released_Sr]
type = TimeIntegratedPostprocessor
value = release_Sr_inc
execute_on = 'initial timestep_end'
[]
[released_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[total_Sr]
type = ElementIntegralMaterialProperty
mat_prop = Sr_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Sr_released]
type = FractionalRelease
released = released_Sr
total = total_Sr
[]
[retained_Sr]
type = ElementIntegralVariablePostprocessor
variable = conc_Sr
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[aver_temp_exterior]
type = SideAverageValue
variable = temperature
boundary = exterior
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = false
[]
(workshop/bison_example/Discrete_mortar.i)
[GlobalParams]
density = 10431.0
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
family = LAGRANGE
order = SECOND
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'temperature disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = always
patch_size = 100 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[file]
file = discrete.e
type = FileMeshGenerator
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temperature]
initial_condition = 295.0
[]
[disp_x]
block = 'pellet_type_1 clad'
[]
[disp_y]
block = 'pellet_type_1 clad'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = peakingfactors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
temperature = temperature
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
temperature = temperature
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = 'pellet_type_1 clad'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fis_gas_released
[]
[]
[Contact]
[mechanical]
model = frictionless
formulation = mortar
primary = 5
secondary = 10
c_normal = 1e+11
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 0.987775
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = 10431.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temperature
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-13'
snesmf_reuse_base = false
line_search = 'none'
l_max_its = 20
l_tol = 8e-3
nl_max_its = 60
nl_rel_tol = 1e-4
nl_abs_tol = 1e-12 # LM
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 1e6
dtmin = 1
automatic_scaling = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 50
iteration_window = 2
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temp]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[fuel_centerline_temp]
type = NodalVariableValue
variable = temperature
nodeid = 2369
[]
[fuel_surface_mid_temp]
type = NodalVariableValue
variable = temperature
nodeid = 2887
[]
[fuel_surface_ridge_temp]
type = NodalVariableValue
variable = temperature
nodeid = 2862
[]
[clad_surface_temp]
type = NodalVariableValue
variable = temperature
nodeid = 7322
[]
[penetration_mid]
type = NodalVariableValue
variable = penetration
nodeid = 2887
[]
[penetration_ridge]
type = NodalVariableValue
variable = penetration
nodeid = 2862
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'timestep_end'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(examples/TRISO/accident_simulation/triso2D_accident.i)
# This example is 2D-RZ analysis of a TRISO fuel particle. Fully coupled
# heat transfer and solid mechanics, plus diffusion of the fission product
# species cesium (Cs) are simulated. The mesh includes contact surfaces
# between the buffer and IPyC layers to facilitate a gap opening between
# these layers. These surfaces are initially in mechanical contact but
# are assumed to have no strength in tension. A coarse mesh is used to
# provide a short run time.
# The calculation simulates fuel-life in three steps. The first step is an
# irradiation period, where constant power and a fixed particle surface
# temperature (1500 K) are assumed over a lifetime of 76 Ms (2.4 yrs).
# For the second step, fuel removal and storage are simulated by setting
# the reactor power and Cs source terms to zero, reducing the particle
# surface temperature to ambient (300 K), and then holding it
# for 100 days. A third and final step simulates accident
# behavior by increasing the particle surface temperature from ambient
# to 2073 K over 2 hrs, and then holding it at this elevated temperature
# for an additional 200 hrs. At the particle outer boundary, the Cs
# concentration is held at zero and the pressure at ambient during the
# entire simulation. The particle is assumed to be stress-free at an
# initial temperature of 1500 K.
#
# Details about this simulation are given in Section 4 of the following
# article: J. D. Hales, R. L. Williamson, S. R. Novascone, D. M. Perez,
# B. W. Spencer and G. Pastore, "Multidimensional multiphysics simulation
# of TRISO particle fuel", Journal of Nuclear Materials, Vol. 443, p. 531,
# 2013.
initial_fuel_density = 11000.0
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
flux_conversion_factor = 0.85
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = triso2Dmed.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 1500.0
[]
[conc]
initial_condition = 0.0
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fluence]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gap_condSlave]
order = CONSTANT
family = MONOMIAL
[]
[creep_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_yy]
order = CONSTANT
family = MONOMIAL
[]
[creep_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[integral_flux_error]
type = ParsedFunction
symbol_names = 'buffer_integral_flux IPyC_integral_flux'
symbol_values = 'buffer_integral_flux IPyC_integral_flux'
expression = 'IPyC_integral_flux + buffer_integral_flux'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx hydrostatic_stress'
strain = FINITE
incremental = true
add_variables = false
[default]
block = 'fuel buffer IPyC OPyC'
eigenstrain_names = 'thermal_strain swelling_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = 'SiC'
eigenstrain_names = 'thermal_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = TimeDerivative
variable = conc
extra_vector_tags = 'ref'
[]
[mass]
type = ArrheniusDiffusion
variable = conc
extra_vector_tags = 'ref'
[]
[mass_source]
type = BodyForce
variable = conc
function = power_history
value = 1.22e-5 # units of moles/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = fuel
fission_rate_function = power_history
value = 3.89e19
execute_on = timestep_begin
[]
[fluence]
type = MaterialRealAux
property = fast_neutron_fluence
variable = fluence
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
execute_on = timestep_begin
density = ${initial_fuel_density}
[]
[creep_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_xx
index_i = 0
index_j = 0
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_yy
index_i = 1
index_j = 1
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_zz
index_i = 2
index_j = 2
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[conductanceSlave]
type = MaterialRealAux
property = gap_conductance
variable = gap_condSlave
boundary = BufferGapBndry
execute_on = linear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
penalty = 1e5
model = frictionless
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 15
secondary = 17
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
gap_geometry_type = CYLINDER
tangential_tolerance = 1e-6
roughness_coef = 0.0
quadrature = true
[]
[cesium_contact]
type = GapHeatTransfer
variable = conc
primary = 15
secondary = 17
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temp
appended_property_name = _conc
emissivity_primary = 0
emissivity_secondary = 0
quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
extra_vector_tags = 'ref'
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = yzero
value = 0.0
extra_vector_tags = 'ref'
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temp
boundary = exterior
function = temp_bc
extra_vector_tags = 'ref'
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC
variable = conc
boundary = exterior
value = 0.0
extra_vector_tags = 'ref'
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = BufferGapVol
initial_pressure = 0
startup_time = 1.0e4
R = 8.3145
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 5e17
[]
[fission_gas_release] # Sifgrs fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = fuel
temperature = temp
burnup = burnup
eigenstrain_name = 'swelling_strain'
initial_fuel_density = ${initial_fuel_density}
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel'
[]
[fuel_elasticity]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.2e11
poissons_ratio = .345
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density} # kg/m^3
[]
[fuel_conc]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[buffer_eigenstrain]
type = PyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = 'swelling_strain'
[]
[buffer_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[buffer_elasticity]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e10
poissons_ratio = .23
[]
[buffer_stress]
type = PyCCreep
block = buffer
temperature = temp
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000.0 #kg/m^3
block = buffer
[]
[buffer_conc]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[IPyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[IPyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[IPyC_elasticity]
type = ComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[IPyC_disp]
type = PyCCreep
block = 'IPyC OPyC'
temperature = temp
[]
[IPyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_den]
type = StrainAdjustedDensity
block = 'IPyC OPyC'
strain_free_density = 1900.0
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8
q1 = 222.0e+3
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_elasticity]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.4e11
poissons_ratio = .13
[]
[SiC_creep]
type = MonolithicSiCCreepUpdate
block = SiC
temperature = temp
k_function = k_function
[]
[SiC_stress]
type = ComputeMultipleInelasticStress
block = SiC
tangent_operator = elastic
inelastic_models = 'SiC_creep'
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3180.0 # kg/m^3
block = SiC
[]
[SiC_conc]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[OPyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[OPyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[OPyC_elasticity]
type = ComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-4
nl_abs_tol = 1e-9
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 85.3682e6
dt = 100
dtmax = 2e6
dtmin = 1
automatic_scaling = true
compute_scaling_once = false
scaling_group_variables = 'conc; disp_x disp_y; temp'
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 6
growth_factor = 1.5
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Predictor]
type = SimplePredictor
scale = 1
skip_times_old = '0 76e6 76.001e6 84.641e6 84.6482e6'
[]
[Quadrature]
order = THIRD
side_order = FIFTH
[]
[]
[Outputs]
perf_graph = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[csv]
type = CSV
sync_times = '100 6308007 75696087'
sync_only = true
[]
[]
[Postprocessors]
[Cs_release]
type = SideIntegralMassFlux
variable = conc
boundary = exterior
execute_on = timestep_end
[]
[dt]
type = TimestepSize
execute_on = timestep_end
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial timestep_end'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
# ro = 3.125e-4
# ri = 2.125e-4
# vb = 4/3*pi*(ro^3-ri^3) = 8.76e-11
# buffer density = 1000
# PyC density = 1900
# fill ratio = 10/19
# vb*10/19 = 4.6e-11
# Must remove 4.6e-11 m^3 from the volume
addition = -4.6e-11
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[buffer_avg_conc]
type = SideAverageValue
variable = conc
boundary = 17
[]
[IPyC_avg_conc]
type = SideAverageValue
variable = conc
boundary = 15
[]
[buffer_integral_flux]
type = SideIntegralMassFlux
variable = conc
boundary = 17
[]
[IPyC_integral_flux]
type = SideIntegralMassFlux
variable = conc
boundary = 15
[]
[integral_flux_error]
type = FunctionValuePostprocessor
function = integral_flux_error
[]
[integral_Cs_release]
type = TimeIntegratedPostprocessor
value = Cs_release
[]
[Cs_production]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.22e-5 # units of moles/m**3-s
[]
[time_integral_Cs_production]
type = TimeIntegratedPostprocessor
value = Cs_production
[]
[volumeFuel_initial]
type = InternalVolume
boundary = fuel
execute_on = initial
[]
[integral_Cs_production]
type = ParsedPostprocessor
pp_names = 'time_integral_Cs_production volumeFuel_initial'
expression = 'time_integral_Cs_production * volumeFuel_initial'
[]
[Cs_release_fraction]
type = ParsedPostprocessor
pp_names = 'integral_Cs_release integral_Cs_production'
expression = 'integral_Cs_release / integral_Cs_production'
[]
[]
[VectorPostprocessors]
[temperaturevpp]
type = SideValueSampler
boundary = 11
variable = temp
sort_by = x
outputs = 'csv'
use_displaced_mesh = true
[]
[]
(test/tests/triso/base_irradiation/triso1D_accident.i)
initial_fuel_density = 11000.0
[GlobalParams]
density = ${initial_fuel_density} # kg/m^3
order = SECOND
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = FileMeshGenerator
file = triso1DFineTruss3.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1500.0
[]
[conc_Cs]
initial_condition = 0.0
scaling = 1e18
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[gap_condSlave]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 3.89e19
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_swelling'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
add_variables = false
strain = FINITE
eigenstrain_names = 'buffer_thermal_strain buffer_eigenstrain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
add_variables = false
strain = FINITE
eigenstrain_names = 'IPyC_eigenstrain IPyC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
add_variables = false
strain = FINITE
eigenstrain_names = 'SiC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
add_variables = false
strain = FINITE
eigenstrain_names = 'OPyC_eigenstrain OPyC_thermal_strain'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = TimeDerivative
variable = conc_Cs
extra_vector_tags = 'ref'
[]
[mass]
type = ArrheniusDiffusion
variable = conc_Cs
extra_vector_tags = 'ref'
[]
[mass_source]
type = BodyForce
variable = conc_Cs
function = power_history
value = 1.22e-5 # units of mol/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc_Cs
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = BurnupAux
variable = burnup
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mol
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[conductanceSlave]
type = MaterialRealAux
property = gap_conductance
variable = gap_condSlave
boundary = BufferGapBndry
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 15
secondary = 17
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[cesium_contact]
type = GapHeatTransfer
variable = conc_Cs
primary = 15
secondary = 17
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
boundary = exterior
function = temp_bc
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply plenum pressure on clad inner walls and pellet surfaces
[PlenumPressure]
[plenumPressure]
boundary = BufferGapVol
initial_pressure = 100
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 5e17
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = FINK_LUCUTA
initial_porosity = 0.0
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.2e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = fuel
temperature = temperature
burnup = burnup
eigenstrain_name = fuel_swelling
initial_fuel_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 1500.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
[]
[fuel_conc]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temperature
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2.0e10
poissons_ratio = 0.23
[]
[buffer_stress]
type = PyCCreep
block = buffer
flux_conversion_factor = 1.0
temperature = temperature
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000.0 #kg/m^3
block = buffer
[]
[buffer_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.65e-6
temperature = temperature
stress_free_temperature = 1500.0
eigenstrain_name = buffer_thermal_strain
[]
[buffer_irraditation]
type = PyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = buffer_eigenstrain
[]
[buffer_conc]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 4.74e10
poissons_ratio = 0.23
[]
[IPyC_stress]
type = PyCCreep
block = IPyC
flux_conversion_factor = 1.0
temperature = temperature
[]
[IPyC_temp]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[IPyC_den]
type = StrainAdjustedDensity
strain_free_density = 1900.0 # kg/m^3
block = IPyC
[]
[IPyC_densification]
type = PyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = IPyC_eigenstrain
[]
[IPyC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.65e-6
temperature = temperature
stress_free_temperature = 1500.0
eigenstrain_name = IPyC_thermal_strain
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.4e11
poissons_ratio = 0.13
[]
[monolithic_SiC_creep]
type = MonolithicSiCCreepUpdate
block = SiC
fast_neutron_flux = fast_neutron_flux
temperature = temperature
k_function = k_function
[]
[stress]
type = ComputeMultipleInelasticStress
inelastic_models = monolithic_SiC_creep
block = SiC
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3180.0 # kg/m^3
block = SiC
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
stress_free_temperature = 1500.0
eigenstrain_name = SiC_thermal_strain
[]
[SiC_conc]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fast_neutron_fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
temperature = temperature
[]
[OPyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 4.74e10
poissons_ratio = 0.23
[]
[OPyC_stress]
type = PyCCreep
block = OPyC
flux_conversion_factor = 1.0
temperature = temperature
[]
[OPyC_temp]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[OPyC_den]
type = StrainAdjustedDensity
strain_free_density = 1900.0 # kg/m^3
block = OPyC
[]
[OPyC_densification]
type = PyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = OPyC_eigenstrain
[]
[OPyC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.65e-6
temperature = temperature
stress_free_temperature = 1500.0
eigenstrain_name = OPyC_thermal_strain
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-8
nl_abs_tol = 1e-7
nl_max_its = 15
l_tol = 1e-8
l_max_its = 50
start_time = 0.0
#end_time = 85.3682e6
end_time = 1e3
num_steps = 1000
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
growth_factor = 1.5
optimal_iterations = 8
linear_iteration_ratio = 100
[]
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
[release_Cs_inc]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = exterior
[]
[Int_Cs_release]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
[]
[release_fuel_Cs]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = fuel
[]
[Int_Cs_release_fuel]
type = TimeIntegratedPostprocessor
value = release_fuel_Cs
[]
[release_PyCGapBndry_Cs]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = PyCGapBndry
[]
[Int_Cs_release_PyCGapBndry]
type = TimeIntegratedPostprocessor
value = release_PyCGapBndry_Cs
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = linear
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = linear
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial timestep_end'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
addition = -4.6e-11
execute_on = 'initial linear'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial linear'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
outputs = exodus
execute_on = 'initial timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
outputs = exodus
execute_on = 'initial timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
execute_on = 'initial nonlinear'
[]
[]
[Outputs]
print_linear_residuals = false
[console]
type = Console
max_rows = 5
outlier_variable_norms = false
[]
[exodus]
type = Exodus
file_base = triso1D_accident_out
[]
[]
(test/tests/ifba_he_production/doc/fill_gas_xenon.i)
#
# 2-D RZ One Pellet Test - Using Xenon as fill gas
#
# This test is of a single pellet with cladding and a specified initial
# pressure of Xe fill gas.
#
# This model results in a upper limit for the interior_temp due to the type of
# fill gas used.
#
[GlobalParams]
density = 10431.0 #95% TD (TD = 10980)
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 4
nx_p = 6
nx_c = 3
ny_cu = 3
ny_c = 4
ny_cl = 3
clad_thickness = 5.6e-4
pellet_outer_radius = 0.0041
pellet_height = 0.01
pellet_quantity = 1
clad_bot_gap_height = 1e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_gap_width = 8e-5
plenum_fuel_ratio = 0.150
elem_type = QUAD8
[]
displacements = 'disp_x disp_y'
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[fission_rate]
block = '3'
[]
[burnup]
block = '3'
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = '3'
initial_condition = 5e-6 # must be the same as the initial value in Sifgr
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = '3'
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[pid]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
# CoolantChannel requires this to have units while axial_peaking_factors must be normalized.
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 20e3 # 20 kW/m peak power.
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '0 10000'
y = '0 1'
[]
[q] # this is for fuel_relocation
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[]
[SolidMechanics]
[solid]
temperature = temp
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = '3'
#convert W/m from power profile to fission/m**3-s
#calculated as 1/(energy_per_fission*area)
#using energy_per_fission = 3.2e-11, consistent with 200 MeV/fission
value = 5.3548e+14
fission_rate_function = q
[]
[burnup]
type = BurnupAux
variable = burnup
block = '3'
fission_rate = fission_rate
molecular_weight = 0.270
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
# If you divide flux/power, you get this constant factor
factor = 2.34e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '3'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gas_swell]
type = MaterialRealAux
block = '3'
variable = gas_swell
property = deltav_v0_bd
execute_on = timestep_end
[]
[pid]
type = ProcessorIDAux
variable = pid
[]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e+14 #1e7
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
gas_released = fis_gas_released
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_gas_types = Xe
initial_fractions = 1
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1003
value = 0.0
[]
# pin entire clad bottom in y
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
# pin fuel bottom in y
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
# pin fuel axis in x and z
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = 1005
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 0.50e6
startup_time = 0.0
material_input = fis_gas_released
output_initial_moles = initial_moles
R = 8.3143
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
displacements = 'disp_x disp_y'
execute_on = 'initial linear'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # PA
inlet_massflux = 3880 # kg/m^2-sec
rod_diameter = 0.95e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = '3'
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_swelling]
type = VSwellingUO2
block = '3'
temperature = temp
burnup = burnup
gas_swelling_type = sifgrs
[]
[fuel_solid_mechanics_elastic]
type = Elastic
block = '3'
temperature = temp
youngs_modulus = 2.e11
poissons_ratio = 0.345
thermal_expansion = 10.0e-6
dep_matl_props = deltav_v0_bd
[]
[fission_gas_release]
type = Sifgrs
block = '3'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_solid_mechanics]
type = SolidModel
block = 1
temperature = temp
youngs_modulus = 7.5e10
poissons_ratio = 0.3
thermal_expansion = 5.0e-6
constitutive_model = clad_plasticity
[]
[clad_growth]
type = IrradiationGrowthZr4
block = 1
fast_neutron_fluence = fast_neutron_fluence
growth_direction = 1
[]
[clad_plasticity]
type = IsotropicPlasticity
block = 1
temperature = temp
yield_stress = 550e6
hardening_constant = 2.5e9
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3'
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 25.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x'
off_diag_column = 'disp_x'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
dtmax = 1.0e6
dtmin = 1.0
end_time = 2.0e7 # Stop run before contact between pellet and clad occurs
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e3
optimal_iterations = 30
iteration_window = 4
time_t = '0 1e4 1e8'
time_dt = '1e4 1e5 1e6'
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
verbose = true
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
[]
[interior_temp]
type = SideAverageValue
boundary = 9 # cladding interior and pellet exterior
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = '3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = '3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[dt]
type = TimestepSize
[]
[residual]
type = Residual
[]
[nl_its]
type = NumNonlinearIterations
[]
[lin_its]
type = NumLinearIterations
[]
[average_burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = '3'
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01 # change: length of fuel stack in meters (1 pellet height)
[]
[]
[Outputs]
time_step_interval = 1
exodus = false
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[out]
type = CSV
delimiter = ' '
[]
[]
(examples/TRISO/correlation_function/h_ipyc_cracking/triso_cracking.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
all_bottom_left = True
[]
[]
[XFEM]
qrule = volfrac
output_cut_plane = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[ipyc_crack]
type = LineSegmentCutUserObject
cut_data = '0.0000 0 0.001 0'
time_start_cut = 0.0
time_end_cut = 0.0
block = IPyC
[]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = mesh
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress min_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 5e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 2004 2005'
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = StrainAdjustedDensity
block = IPyC
strain_free_density = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = StrainAdjustedDensity
block = OPyC
strain_free_density = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
automatic_scaling = true
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
exodus = false
[]
(test/tests/standard_metallic_outputs_action/x441_mini_fuel_rod.i)
[GlobalParams]
density = 15800.0
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
# Nominal Design Geometric Parameters (X441)
type = FuelPinMeshGenerator
clad_thickness = 0.38e-03
pellet_outer_radius = 2.195e-03
pellet_height = 3.4e-2
clad_top_gap_height = 2.7e-2
clad_gap_width = 0.345e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_bot_gap_height = 0.31e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 1
ny_p = 5
nx_c = 1
ny_c = 5
ny_cu = 1
ny_cl = 1
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 2
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 5e3'
y = '0 44722'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 5e3'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 5e3'
y = '298.0 648.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = 343.0e-3
pellet_y_start = 8.1e-3
[]
[engr_radial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_rad / 2.195e-03'
symbol_values = 'max_fuel_radial_disp'
symbol_names = 'fuel_disp_rad'
[]
[engr_axial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_axial / 343.0e-3'
symbol_values = 'max_fuel_elongation'
symbol_names = 'fuel_disp_axial'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain
solid_swelling_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = 0.345e-3
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = 2.195e-03
X_Zr = 0.225
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.225
density = 15800
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.225
X_Pu = 0.0
block = pellet
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
anisotropic_factor = 0.4
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = 0.225
X_Pu = 0.0
spheat_model = savage
thcond_model = lanl
porosity = porosity
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 15800.0
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
critical_porosity = 0.24
fractional_fgr_initial = 0.8
fractional_fgr_post = 1.0
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 5e3
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e3
time_t = '0 1e4'
time_dt = '1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = clad
variable = effective_creep_strain
[]
[max_fuel_radial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_xx
[]
[max_fuel_axial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_yy
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_fuel_radial_disp]
type = NodalExtremeValue
variable = disp_x
boundary = 'all_pellet_exterior'
[]
[engr_strain_fuel_radial]
type = FunctionValuePostprocessor
function = engr_radial_strain_fuel
[]
[engr_strain_fuel_axial]
type = FunctionValuePostprocessor
function = engr_axial_strain_fuel
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.05 0.0'
num_points = 300
sort_by = y
outputs = 'vec1'
[]
[]
[StandardMetallicFuelRodOutputs]
initial_pressure = 0.084e6 # Pa
fuel_pellet_blocks = 'pellet'
plenum_boundary_name = 'inside_surfaces'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
time_step_interval = 1
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3'
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_mini_fuel_rod_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fission_gas_released_percentage max_clad_hoop_creep max_clad_creep_strain_mag max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[vec1]
type = CSV
file_base = x441_mini_fuel_rod_vec1
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim_DiffCoeff4.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.2
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9144
pellet_outer_radius = 2.794e-3
pellet_inner_radius = 6.985e-4
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 101.6e-6
clad_thickness = 0.5334e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.057
elem_type = QUAD8
nx_c = 4
ny_c = 1000
nx_p = 10
ny_p = 500
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fraction_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 0.854004932 0.854004932'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 2.99513e+19 2.99513e+19'
[]
[axial_power_profile]
type = PiecewiseBilinear
x = '0.0334152 0.09468 0.1559448 0.2162952 0.27756 0.3388248 0.3991752 0.46044 0.5217048 0.5820552 0.64332 0.7045848 0.7649352 0.8262 0.8874648'
y = '0 31858942.74'
z = '5493.43832 7183.727034 29157.48031 34228.34646 37608.92388 40144.35696 41412.07349 42257.21785 41834.64567 39721.78478 37608.92388 33805.77428 28312.33596 4225.721785 2535.433071 5041.338583 6592.519685 26757.87402 31411.41732 34513.77953 36840.55118 38003.93701 38779.52756 38391.73228 36452.75591 34513.77953 31023.62205 25982.28346 3877.952756 2326.771654'
scale_factor = 1
axis = 1
[]
[average_power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24264.05646 24264.05646'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.2
axial_power_profile = axial_power_profile
rod_ave_lin_pow = fraction_history
pellet_diameter = 0.005588
execute_on = timestep_begin
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 0.151e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 0.151e6
inlet_massflux = 1687.43
rod_diameter = 6.858e-3
rod_pitch = 1.7e-2
linear_heat_rate = fraction_history
axial_power_profile = axial_power_profile
coolant_material = sodium
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = 0.2
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
diff_coeff_option = TURNBULL_D1_4D2_4D3
grain_radius_const = 10e-06
bubble_gb_limit = 1.0e+11
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fast_neutron_flux]
type = GenericFunctionMaterial
block = clad
prop_names = fast_neutron_flux
prop_values = fast_neutron_flux_function
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = fraction_history
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.9144 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = fftf_fo2_L09_new_DiffCoeff4_chkfile
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/fission_rate_heat_source/ad_test.i)
# This test is to verify the implementation of FissionRateHeatSource.
# The rod power, axial power, and axial plutonium profiles are given as functions.
# UPuZrFissionRate calculates the fission rate as a function of rod power vs time,
# axial power profile vs y (or z axis in 2DRZ), and a correction factor dependent
# on the zirconium and plutonium concentration. The zirconium correction is given as
# a function of the current value of zirconium at the qp, and the axial profile of
# plutonium. Zirconium is moved along the pin using a dummy Soret kernel, assuring
# that the total zirconium in the system stays constant.
#
# Power conservation is ensured by comparing ElementIntegralPower and the linear
# power profile.
#
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[Variables]
[temp]
initial_condition = 200
[]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = TimeDerivative
variable = X_Zr
[]
[zr]
type = MatAnisoDiffusion
variable = X_Zr
diffusivity = D_fick
[]
[zr_soret]
type = MatAnisoDiffusion
variable = X_Zr
v = temp
diffusivity = D_soret
[]
[temp_dt]
type = ADTimeDerivative
variable = temp
[]
[diffusion]
type = ADDiffusion
variable = temp
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
fission_rate = fission_rate
energy_per_fission = 1e5
energy_deposited_in_fuel = 0.1
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 40 50 30 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.5 1'
y = '0.9 1.1 0.9'
[]
[pu_profile]
type = ParsedFunction
expression = '(-0.325 * y * y + 0.725 * y) * t / 5'
[]
[power_exact]
type = ParsedFunction
symbol_names = 'power_profile length'
symbol_values = 'power_profile 1'
expression = 'power_profile * length'
[]
[]
[Materials]
[D_fick]
type = ConstantAnisotropicMobility
tensor = '1e2 .0 .0
.0 1e2 .0
.0 .0 .0'
M_name = D_fick
[]
[D_soret]
type = ConstantAnisotropicMobility
tensor = '1e-2 .0 .0
.0 .0 .0
.0 .0 .0'
M_name = D_soret
[]
[fission_rate]
type = ADUPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = 0.2
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = 100
coeffs = '0.9 -1.2'
pellet_radius = 0.01
outputs = all
output_properties = fission_rate
[]
[]
[BCs]
[right]
type = DirichletBC
variable = temp
value = 200
boundary = right
[]
[]
[Preconditioning]
[full]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-10
end_time = 5
[]
[Postprocessors]
[integral_fission_rate]
type = ADElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ADElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[integral_power_exact]
type = FunctionValuePostprocessor
function = power_exact
[]
[Zr_top]
type = SideAverageValue
variable = X_Zr
boundary = top
[]
[Zr_bottom]
type = SideAverageValue
variable = X_Zr
boundary = bottom
[]
[Zr_max]
type = ElementExtremeValue
variable = X_Zr
[]
[Zr_min]
type = ElementExtremeValue
variable = X_Zr
value_type = min
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK1/FK01_action.i)
# This file was created using BIF with the following inputs:
# FK01.var - md5sum: 123016ae8f3283a45bae816a366f93b1
# ../pulse_rev1.tpl - md5sum: 8d6b8b4bce1dd830dea2d8522009e514
initial_fuel_density = 10020.6066633
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.085711070864
initial_grain_radius = 5.96e-6
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
volumetric_locking_correction = false
total_densification = 0.006
temperature = temperature
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.04298
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temperature'
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.085711070864
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 0.0473684210526 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseBilinear
data_file = RadialPowerProfile.csv
axis = 0
[]
[radial_burnup_profile]
type = PiecewiseBilinear
data_file = RadialBurnupProfile.csv
axis = 0
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Kernels]
[gravity]
type = Gravity
block = '1 3'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temperature]
type = DirichletBC
boundary = '1 2 3'
variable = temperature
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.3e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[NuclearMaterials]
generate_output = 'elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz vonmises_stress'
fission_operation = 'RIA'
incremental = true
physics = 'Mechanics Thermal'
initial_temperature = 293
stress_free_temperature = 293
extra_vector_tags = 'ref'
strain = FINITE
[UO2]
[fuel]
block = 3
uo2_models = 'Burnup Elastic Swelling ThermalExpansion'
isotopes = 'U238 U235'
isotope_fractions = '0.961 0.039'
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = linear_heat_rate_profile
rpf_input = radial_power_profile
fuel_volume_ratio = 1
num_radial = 80
num_axial = 49
axial_power_profile = axial_peaking_factors
additional_generate_output = 'hydrostatic_stress'
[]
[]
[ZirconiumAlloy]
[clad]
block = 1
cladding_models = 'Elastic Creep Plasticity ThermalExpansion'
initial_fast_fluence = 8.40e25
zircaloy_alloy_type = 4
cold_work_factor = 0.01
plasticity_model_type = MATPRO
matpro_poissons_ratio = true
matpro_youngs_modulus = true
material_output_properties = yield_stress
additional_generate_output = 'creep_strain_xx creep_strain_yy creep_strain_zz'
[]
[]
[]
[Materials]
[strain_energy_density]
type = StrainEnergyDensity
block = 1
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temperature
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temperature
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temperature
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL031/BFL031.i)
################################################################################
#
# Description: Calvert Cliffs BFL031
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFL031_power.csv
# axial peaking factor file BFL031_axial_peaking.csv
# flux boundary condition file BFL031_fast_flux.csv
#
################################################################################
initial_fuel_density = 10460.45
[GlobalParams]
density = ${initial_fuel_density} #95.332 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
patch_size = 20
patch_update_strategy = auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[mesh]
type = FileMeshGenerator
file = BFL031_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFL031_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFL031_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 174660997 174661357'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 174660997 174661357'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFL031_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0013589
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '9 13' # clad interior + fuel exterior
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[oxidationcladding]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 174661357
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_2984]
type = NodalVariableValue
nodeid = 2983
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/triso_failure/triso_1d_layer_stress_strength.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[ipyc_stress_strength]
type = ParsedFunction
expression = 'a-b'
symbol_names = 'a b'
symbol_values = 'stress_IPyC actual_strength_IPyC'
[]
[opyc_stress_strength]
type = ParsedFunction
expression = 'a-b'
symbol_names = 'a b'
symbol_values = 'stress_OPyC actual_strength_OPyC'
[]
[sic_crackedipyc_stress_strength]
type = ParsedFunction
expression = 'a-b'
symbol_names = 'a b'
symbol_values = 'stress_SiC_crackedIPyC actual_strength_SiC_crackedIPyC'
[]
[sic_crackedopyc_stress_strength]
type = ParsedFunction
expression = 'a-b'
symbol_names = 'a b'
symbol_values = 'stress_SiC_crackedOPyC actual_strength_SiC_crackedOPyC'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
use_automatic_differentiation = true
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[characteristic_strength_PyC]
type = GenericConstantMaterial
prop_values = '964000'
prop_names = 'characteristic_strength'
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[stress_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
output_type = 'stress'
[]
[actual_strength_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
output_type = 'strength'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[stress_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
output_type = 'stress'
[]
[actual_strength_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
output_type = 'strength'
[]
[IPyC_stressminusstrength]
type = FunctionValuePostprocessor
function = 'ipyc_stress_strength'
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[stress_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
output_type = 'stress'
[]
[actual_strength_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
output_type = 'strength'
[]
[OPyC_stressminusstrength]
type = FunctionValuePostprocessor
function = 'opyc_stress_strength'
[]
[stress_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
output_type = 'stress'
[]
[actual_strength_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
output_type = 'strength'
[]
[SiC_crackedIPyC_stressminusstrength]
type = FunctionValuePostprocessor
function = 'sic_crackedipyc_stress_strength'
[]
[stress_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
output_type = 'stress'
[]
[actual_strength_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
output_type = 'strength'
[]
[SiC_crackedOPyC_stressminusstrength]
type = FunctionValuePostprocessor
function = 'sic_crackedopyc_stress_strength'
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(assessment/TRISO/validation/AGR-2/AGR-2_base.i)
#COMPACT = <compact_id>
#DATA_FILE = <data_file_name>
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.204e-11 # [J/fission]
time_average_mass_rate = false
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_mesh_density = 20
buffer_mesh_density = 15
IPyC_mesh_density = 12
SiC_mesh_density = 8
OPyC_mesh_density = 6
block_names = 'fuel buffer IPyC SiC OPyC'
include_gap = false
kernel_bias = 0.8
buffer_bias = 1.25
buffer_dual_bias = 0.8
IPyC_bias = 1.25
IPyC_dual_bias = 0.8
SiC_bias = 1.25
SiC_dual_bias = 0.8
OPyC_bias = 1.25
OPyC_dual_bias = 0.8
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 923.15
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc_file]
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
[]
[temp_bc_safety]
type = ParsedFunction
symbol_names = 'test_temperature'
symbol_values = '1873.15'
expression = 'start := 50284800+1800;
ramp1 := 120.0/3600.0;
ramp2 := 120.0/3600.0;
ramp3 := 50.0/3600.0;
ramp4 := -600.0/3600.0;
room := 303.15;
plateau1 := 673.15;
plateau2 := 1523.15;
hold1 := 7200;
hold2 := 43200;
hold3 := 1080000;
ramp_time1 := (plateau1-room)/ramp1;
ramp_time2 := (plateau2-plateau1)/ramp2;
ramp_time3 := (test_temperature-plateau2)/ramp3;
ramp_time4 := (room-test_temperature)/ramp4;
t1 := start+ramp_time1;
t2 := t1+hold1;
t3 := t2+ramp_time2;
t4 := t3+hold2;
t5 := t4+ramp_time3;
t6 := t5+hold3;
t7 := t6+ramp_time4;
if(t<start,room,
if(t<t1,room+(t-start)*ramp1,
if(t<t2,plateau1,
if(t<t3,plateau1+(t-t2)*ramp2,
if(t<t4,plateau2,
if(t<t5,plateau2+(t-t4)*ramp3,
if(t<t6,test_temperature,
if(t<t7,test_temperature+(t-t6)*ramp4,
room))))))))'
[]
[temp_bc]
type = ParsedFunction
symbol_names = 'tbcf tbcs'
symbol_values = 'temp_bc_file temp_bc_safety'
expression = 'if(t<=50284800,tbcf,tbcs)'
[]
[power_history] # W/m^3
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 2
xy_in_file_only = false
format = columns
[]
[fission_rate_from_power]
type = LinearCombinationFunction
functions = power_history
# W/m^3 / (1.602e-13 J/MeV) / (200 MeV/fission)
w = 3.1211e10
[]
[fission_rate]
type = ParsedFunction
symbol_names = 'fr'
symbol_values = 'fission_rate_from_power'
expression = 'if(t<=50284800,fr,0)'
[]
[fast_neutron_fluence]
type = PiecewiseLinear
#data_file = DATA_FILE
x_index_in_file = 0
y_index_in_file = 3
xy_in_file_only = false
format = columns
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[]
[Kernels]
[heat_dt]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[density]
type = MaterialRealAux
variable = density
property = density
block = 'fuel buffer IPyC SiC OPyC'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[]
[BCs]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_fluence]
type = GenericFunctionMaterial
prop_names = fast_neutron_fluence
prop_values = fast_neutron_fluence
[]
### Fuel properties
[burnup]
type = TRISOBurnup
time_average_fission_rate = false
[]
[fuel_thermal]
block = fuel
temperature = temperature
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
[]
[Buffer_density]
type = ParsedMaterial
block = buffer
property_name = density
expression = ${initial_buffer_density}
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = ParsedMaterial
block = IPyC
property_name = density
expression = ${initial_ipyc_density}
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = ParsedMaterial
block = SiC
property_name = density
expression = ${initial_sic_density}
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = ParsedMaterial
block = OPyC
property_name = density
expression = ${initial_opyc_density}
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-6
nl_abs_tol = 5e-12
nl_max_its = 50
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 50284800
num_steps = 1500
dt = 86400
dtmax = 86400
dtmin = 100
[TimeStepper]
type = FunctionDT
function = 'if(t<50284799,86400,1800)'
[]
automatic_scaling = true
compute_scaling_once = false
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
### Temperature
[temp_min]
type = NodalExtremeValue
variable = temperature
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[temp_max]
type = NodalExtremeValue
variable = temperature
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[console]
type = Console
time_step_interval = 1
[]
[exodus]
type = Exodus
file_base = COMPACT
[]
[release]
type = CSV
file_base = release_COMPACT
sort_columns = true
[]
[final_release]
type = CSV
file_base = final_release_COMPACT
sort_columns = true
execute_on = 'final'
[]
[]
(assessment/metallic_fuel/EBRII/X423/analysis/x423_vp_base.i)
[GlobalParams]
density = ${fuel_density}
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
X_Pu = ${fuel_pu}
X_Zr = ${fuel_zr}
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} / ${pin_id} _design.csv'}
fipd_as_fabricated_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} / ${pin_id} _as_fabricated.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_radial_elements = 10
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[func_val1]
[]
[func_val2]
[]
# AuxVariables used for thermal expansion correction
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[Functions] #copied from fipd-tdep
[clad_od_temp]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[power_history]
type = PiecewiseLinear
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[pwr_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[pwr_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation
[]
[fflux_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation
[]
[flux_history]
type = PiecewiseLinear
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 56465640'
y = '0.151e6 0.151e6'
[]
[id_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[ci_temp]
type = PiecewiseLinearFromVectorPostprocessor
argument_column = y
component = y
value_column = temp
vectorpostprocessor_name = clad_inn_temp
[]
[na_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[fuel_height]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = fuel_height
[]
[fuel_radius]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = fuel_radius
[]
[pore_volume_fcn]
type = ParsedFunction
symbol_names = 'volume_fuel interconnected_porosity_fuel_avg'
symbol_values = 'volume_fuel interconnected_porosity_fuel_avg'
expression = '-volume_fuel * interconnected_porosity_fuel_avg'
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
expression = '(disp_x_fuel_radial_surface_avg / fuel_radius) / (disp_y_fuel_top_surface_avg / fuel_height)'
[]
[]
# From Topher
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
add_variables = true
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = fuel
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
[]
[clad]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = cladding
eigenstrain_names = 'clad_swelling clad_thermal_eigenstrain'
use_automatic_differentiation = true
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = ADGravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie_f]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = fuel
density_name = density
[]
[heat_ie_c]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = cladding
density_name = density
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
fission_rate = fission_rate
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = ADMaterialRealAux
property = porosity
variable = porosity
block = fuel
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = fuel_outer_radial_surface
[]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 'cladding_outside_right'
type = MaterialRealAux
property = failed
variable = element_failed
[]
[volumetric_strain]
type = ADRankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = ADRankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = ADRankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[hoop_elastic_strain]
type = ADRankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[total_hoop_strain]
type = ADRankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = cladding
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = cladding
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = clad_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
penalty = 1e12
model = frictionless
#system = constraint
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
quadrature = true
gap_conductivity = 61.0
min_gap = 0.5e-03
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[no_y_fuel]
type = ADDirichletBC
variable = disp_y
boundary = fuel_bottom
value = 0.0
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = cladding_outside_bottom
value = 0.0
[]
[fuel_top_temp]
type = ADFunctionDirichletBC
boundary = fuel_top
variable = temp
function = ci_temp
[]
[surf] #copied from fipd-tdep
type = ADFunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = coolant_press_ramp
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'fuel_outside_all cladding_inside_all'
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fg_released
additional_volumes = volume_pore
temperature_of_additional_volumes = temp_fuel_avg
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[interconnected_porosity] # Topher
type = ADParsedMaterial
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
block = fuel
[]
[porosity] # Topher
type = ADPorosityFromStrain
block = fuel
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = none
[]
[gas_swelling] # Topher
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = fuel
bubble_concentration = 1e15
initial_bubble_concentration = 1e15
compute_interconnectivity = true
fission_gas_yield = 0.3017
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.999
interconnection_initiating_porosity = 0.26
interconnection_terminating_porosity = 0.28
max_inelastic_increment = 0.001
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
[]
[solid_swelling] # Topher
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = fuel
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.08
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
block = fuel
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors
use_metadata = true
mesh_generator = gen
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
block = cladding
fission_rate_name = fission_rate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors_elongate
use_metadata = true
mesh_generator = gen
outputs = all
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
density = ${fuel_density}
outputs = all
block = fuel
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
density = ${fuel_density}
outputs = all
block = cladding
burnup_name = burnup
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors_elongate
block = cladding
factor = 1.0
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
block = fuel
temperature = temp
use_old_porosity = true
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
# tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep gas_swelling'
block = fuel
outputs = all
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
use_old_porosity = true
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
outputs = all
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = fuel
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = ADStrainAdjustedDensity
displacements = 'disp_x disp_y'
block = fuel
strain_free_density = ${fuel_density}
[]
[clad_elasticity_tensor]
type = ADD9ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = cladding
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
# tangent_operator = nonlinear
inelastic_models = 'clad_ss316creep'
block = cladding
[]
[clad_ss316creep]
type = ADD9CreepUpdate
block = cladding
temperature = temp
fast_neutron_flux = fast_neutron_flux
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[clad_swelling]
type = ADSS316VolumetricSwellingEigenstrain
eigenstrain_name = clad_swelling
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
temperature = temp
outputs = all
[]
[thermal_expansion]
type = ADD9ThermalExpansionEigenstrain
block = cladding
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
outputs = all
[]
[clad_thermal]
type = ADD9Thermal
block = cladding
temperature = temp
[]
[clad_density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 7874.0
[]
[longSS316_failure]
type = D9FailureClad
block = cladding
method = steady_state
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = flux_ss316
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = SS316
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-3
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
end_time = ${time_last}
dtmin = 1
dtmax = ${max_dt}
automatic_scaling = true
compute_scaling_once = false
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = power_history
#max_function_change = 300 # Removed to decrease run time
timestep_limiting_postprocessor = creep_timestep
dt = 100
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
outputs = 'csv_general console'
[]
[num_lin_it]
type = NumLinearIterations
outputs = csv_general
[]
[num_nonlin_it]
type = NumNonlinearIterations
outputs = csv_general
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
outputs = csv_general
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
outputs = csv_general
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
outputs = csv_general
[]
[ave_temp_interior]
type = SideAverageValue
boundary = cladding_inside_top
variable = temp
execute_on = 'initial linear'
outputs = csv_general
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = centerline
variable = temp
outputs = csv_general
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
outputs = csv_general
[]
[ave_FST]
type = SideAverageValue
boundary = fuel_outer_radial_surface
variable = temp
outputs = csv_general
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
outputs = csv_general
[]
[ave_CIT]
type = SideAverageValue
boundary = cladding_inside_right
variable = temp
outputs = csv_general
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
outputs = csv_general
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = cladding
outputs = csv_general
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = cladding
outputs = csv_general
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
outputs = csv_general
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
outputs = csv_general
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
outputs = csv_general
[]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = fuel
outputs = csv_general
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
outputs = csv_general
[]
[clad_inner_vol]
type = InternalVolume
boundary = cladding_inside_all
outputs = csv_general
[]
[pellet_volume]
type = InternalVolume
boundary = fuel_outside_all
outputs = csv_general
[]
[gas_volume]
type = InternalVolume
boundary = 'fuel_outside_all cladding_inside_all'
execute_on = 'initial timestep_end'
addition = na_vol
outputs = csv_general
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = fuel_outer_radial_surface
outputs = csv_general
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = fuel_outer_radial_surface
outputs = csv_general
[]
[flux_from_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = cladding_inside_right
diffusivity = thermal_conductivity
outputs = csv_general
[]
[flux_from_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = fuel_outer_radial_surface
diffusivity = thermal_conductivity
outputs = csv_general
[]
[rod_total_power]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
outputs = csv_general
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
outputs = csv_general
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
outputs = csv_general
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
outputs = csv_general
[]
# fission gas information (Topher)
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
outputs = csv_general
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
outputs = csv_general
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
outputs = csv_general
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
outputs = csv_general
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
outputs = csv_general
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
outputs = 'csv_general console'
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
outputs = csv_general
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
outputs = csv_general
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
outputs = csv_general
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
outputs = csv_general
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = cladding
variable = hoop_creep_strain
outputs = csv_general
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = cladding
variable = creep_strain_mag
outputs = csv_general
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = cladding
variable = total_hoop_strain
outputs = csv_general
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
outputs = csv_general
[]
[avg_fuel_ax_thm_str]
type = AxisymmetricCenterlineAverageValue
variable = fuel_thermal_strain_yy
boundary = fuel_inner_radial_surface
outputs = csv_general
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'cladding_outside_top cladding_outside_right'
outputs = csv_general
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
outputs = 'console'
[]
[avg_fuel_temp]
type = ElementAverageValue
variable = temp
block = fuel
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_general
[]
# Fuel strain information (Topher)
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = fuel
outputs = csv_general
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = fuel
outputs = csv_general
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = fuel
outputs = csv_general
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outside_all'
outputs = csv_general
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
outputs = csv_general
[]
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = fuel
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[volume_pore]
type = FunctionValuePostprocessor
function = pore_volume_fcn
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = centerline
sort_by = y
outputs = none
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = fuel_outer_radial_surface
sort_by = y
outputs = none
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_inside_right
sort_by = y
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
# PIE Comparison VPPs
[nrad_comparison_0]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_0
enable = ${enable_0}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_0'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = strain_gas_swelling_fuel_avg
solid_swelling_pp_name = strain_solid_swelling_fuel_avg
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423A_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_a'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = strain_gas_swelling_fuel_avg
solid_swelling_pp_name = strain_solid_swelling_fuel_avg
[]
[nrad_comparison_b]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423B_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_b
enable = ${enable_b}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_b'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = strain_gas_swelling_fuel_avg
solid_swelling_pp_name = strain_solid_swelling_fuel_avg
[]
[nrad_comparison_c]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423C_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_c
enable = ${enable_c}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_c'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = strain_gas_swelling_fuel_avg
solid_swelling_pp_name = strain_solid_swelling_fuel_avg
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
sync_times = ${time_spots}
[]
[csv_vpp_0]
type = CSV
sync_only = true
sync_times = ${time_spots_0}
enable = ${enable_0}
create_latest_symlink = true
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
create_latest_symlink = true
[]
[csv_vpp_b]
type = CSV
sync_only = true
sync_times = ${time_spots_b}
enable = ${enable_b}
create_latest_symlink = true
[]
[csv_vpp_c]
type = CSV
sync_only = true
sync_times = ${time_spots_c}
enable = ${enable_c}
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_times = ${time_spots}
[]
[extra_csv]
type = CSV
sync_only = true
sync_times = ${time_spots_extra}
[]
[extra_csv_0]
type = CSV
sync_only = true
sync_times = ${time_spots_0}
enable = ${enable_0}
[]
[extra_csv_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
[]
[extra_csv_b]
type = CSV
sync_only = true
sync_times = ${time_spots_b}
enable = ${enable_b}
[]
[extra_csv_c]
type = CSV
sync_only = true
sync_times = ${time_spots_c}
enable = ${enable_c}
[]
[exodus]
type = Exodus
sync_only = true
sync_times = ${time_spots}
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK6/FK06.i)
# This file was created using BIF with the following inputs:
# FK06/FK06.var - md5sum: 5a60c05af67ba840a89caacf70b852e2
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10310.8809782
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.0592261881186
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 0.955 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy '
'elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy '
'strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz '
'stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz '
'creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
block = '1 3'
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
initial_moles = initial_moles
initial_gas_types = 'He Ar'
initial_fractions = '0.25 0.75'
gas_released = fission_gas_released
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.1e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10310.8809782
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.0592261881186
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 1.30e26
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 1.30e26
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = '1 3'
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage '
'peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/linear/test_2d.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = 'coarse_rz.e'
[]
[]
[Problem]
[]
[Variables]
[temp]
[]
[]
[AuxVariables]
[fission_rate]
block = 'pellet_type_1'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
energy_per_fission = 3.28451e-11
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 'pellet_type_1'
value = 1.21783766833e19 #fissions/m3s
[]
[]
[BCs]
[side_temp]
type = DirichletBC
variable = temp
boundary = 10
value = 500
[]
[ ]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1'
thermal_conductivity = 5.2
[]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[center_temp]
type = PointValue
point = '0.0 0.00624 0'
variable = temp
[]
[avg_temp]
type = ElementAverageValue
block = 'pellet_type_1'
variable = temp
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
[]
[]
[Outputs]
perf_graph = true
csv = true
[]
(examples/non-cylindrical_fuel/2D/non-cyl_base_irrad.i)
initial_fuel_density = 9720.0
[GlobalParams]
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = non-cyl_mesh_2d.e
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'cladding displacer'
[]
[fast_neutron_fluence]
block = 'cladding displacer'
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5'
y = '0 29000'
[]
[fission_rate_scale_factor]
type = ParsedFunction
expression = 1407962081891580.0
# 1/cross_sectional_area_of_fuel/energy_per_fission =
# 1407962081891580.0 []
[]
[fission_history]
type = CompositeFunction
functions = 'power_history fission_rate_scale_factor'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[displacer]
block = displacer
add_variables = true
eigenstrain_names = 'zirc_thermal_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[cladding]
block = cladding
add_variables = true
eigenstrain_names = 'zirc_thermal_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = 'fission_rate'
extra_vector_tags = 'ref'
block = fuel
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'cladding displacer'
factor = 3e13
rod_ave_lin_pow = power_history
axial_power_profile = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 'cladding displacer'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 'side'
variable = oxide_thickness
property = oxide_scale_thickness
[]
[]
[BCs]
[center_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = center
[]
[center_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = center
[]
[right_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = right
[]
[Pressure]
[coolantPressure]
boundary = 'side'
factor = 15.5e6
function = pressure_ramp
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 'side'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.6599e-2 # m (sqrt(area*4/pi))
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = 1.0
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = 'fission_rate'
prop_values = fission_history
block = fuel
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.72
initial_X_Pu = 0.0
density = ${initial_fuel_density}
block = fuel
[]
[fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = 0.72
X_Pu = 0
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[zirc_thermal]
type = HeatConductionMaterial
block = 'cladding displacer'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[zirc_density]
type = StrainAdjustedDensity
block = 'cladding displacer'
strain_free_density = 6551.0
[]
[zirc_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = 'cladding displacer'
[]
[zirc_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zirc_zrycreep'
block = 'cladding displacer'
[]
[zirc_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'cladding displacer'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[zirc_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'cladding displacer'
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = zirc_thermal_strain
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.72
X_Pu = 0.0
temperature = temp
block = fuel
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = fuel_creep
block = fuel
[]
[fuel_creep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
[]
[fuel_swelling]
type = UPuZrVolumetricSwellingEigenstrain
temperature = temp
burnup = burnup
fission_rate = fission_rate
eigenstrain_name = fuel_volumetric_strain
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 'side'
clad_inner_radius = 0.00418
clad_outer_radius = 0.00474
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
outputs = all
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = -snes_ksp_ew
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
start_time = -200
n_startup_steps = 1
end_time = 8e7
num_steps = 5000
dtmax = 1e6
dtmin = 1.0
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
l_max_its = 50
l_tol = 8e-3
nl_max_its = 30
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 15
iteration_window = 3
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1 # rod height
execute_on = timestep_end
[]
[max_temp]
type = NodalExtremeValue
variable = temp
execute_on = timestep_end
[]
[peak_oxide_thickness]
type = ElementExtremeValue
variable = oxide_thickness
block = 'cladding'
value_type = 'max'
execute_on = 'timestep_end'
[]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
max_rows = 15
[]
[chkfile]
type = CSV
show = 'peak_oxide_thickness'
execute_on = final
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFG092/BFG092.i)
################################################################################
#
# Description: Calvert Cliffs BFG092
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFG092_power.csv
# axial peaking factor file BFG092_axial_peaking.csv
# flux boundary condition file BFG092_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.28354
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFG092_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFG092_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177711767 177712127'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177711767 177712127'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFG092_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 273
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177712127
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_2DRZ_t.i)
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.00008
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.1372
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 14e-06 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
# variable = temp
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm001_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(examples/thor_capsule_transfer/pin_with_heat_sink.i)
# Example of adding a heat sink outside of an already irradiated pin.
# An example of using a base irradiation's output exodus file to initialize a
# pin with a heat sink next to it (like in THOR). This is useful for taking
# an EBR-II pin and putting it in TREAT in THOR.
initial_fuel_density = 15800.0
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
X_Pu = 0.16029880703609925
X_Zr = 0.22566146557004974
[]
[Problem]
type = AugmentedLagrangianContactProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
# mesh options
patch_size = 50
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
# These are the setting from the base irradiation for your information
#[smear_2drz]
# type = FuelPinMeshGenerator
# clad_thickness = 0.000381
# pellet_outer_radius = 0.0021971
# pellet_height = 0.342646
# clad_top_gap_height = 0.2620678
# clad_gap_width = 0.0003429
# bottom_clad_height = 0.0127
# top_clad_height = 0.0127
# clad_bot_gap_height = 0.001 # arbitrary
# # meshing parameters
# clad_mesh_density = customize
# pellet_mesh_density = customize
# nx_p = 5
# ny_p = 150
# nx_c = 4
# ny_c = 150
# ny_cu = 3
# ny_cl = 3
# pellet_quantity = 1
# elem_type = QUAD8
#[]
[file] # This is the pin's output exodus
type = FileMeshGenerator
file = base_irradiation_out.e
use_for_exodus_restart = true
[]
[sink] # Generic sink dimensions
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0032639
xmax = 0.005461
nx = 5
ymin = 0.0
ymax = 0.6311138
ny = 100
elem_type = QUAD8
boundary_id_offset = 50
[]
[combine]
type = CombinerGenerator
inputs = 'file sink'
[]
[name_sink]
type = SubdomainBoundingBoxGenerator
input = 'combine'
bottom_left = '0.0032638 -0.00001 0'
top_right = '0.005462 0.6311139 0'
block_id = 5
block_name = 'heat_sink'
[]
[]
[Variables]
[T]
initial_from_file_var = T
[]
[disp_x]
initial_from_file_var = disp_x
[]
[disp_y]
initial_from_file_var = disp_y
[]
[]
[ICs]
[sink_T]
type = ConstantIC
block = heat_sink
variable = T
value = 298 # K
[]
[]
[Problem]
# initial condition is overriding the restarted T variable
allow_initial_conditions_with_restart = true
[]
[AuxVariables]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 360'
y = '23500 30000'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = custom
custom_params = '0.88416801 1.07334286 -1.26837226 0.00726538'
pellet_length = 0.342646
pellet_y_start = 0.0137
[]
[axial_flux_peaking_factors]
type = PowerPeakingFunction
fit = custom
custom_params = '0.78912541 1.7214792 -2.09297848 0.19040197'
pellet_length = 0.342646
pellet_y_start = 0.0137
zero_beyond_top_and_bottom = False
[]
[flux_history]
type = PiecewiseLinear
x = '0 86400 31536000' # 1 year
y = '1 2.0e19 1.0e19'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
[fuel]
additional_generate_output = 'creep_strain_xx creep_strain_yy creep_strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
additional_generate_output = 'creep_strain_xx creep_strain_yy creep_strain_zz'
extra_vector_tags = 'ref'
block = 1
eigenstrain_names = 'clad_thermal_eigenstrain clad_volume_eigenstrain'
[]
[sink]
extra_vector_tags = 'ref'
block = heat_sink
eigenstrain_names = 'sink_thermal_eigenstrain'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = T
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = T
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = T
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.2
normalize_penalty = true
tangential_tolerance = 0.4
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 0.8
al_frictional_force_tolerance = 0.8
[]
[clad_sink_mechanical]
primary = 53
secondary = 2
penalty = 1e12
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.2
normalize_penalty = true
tangential_tolerance = 0.4
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 0.8
al_frictional_force_tolerance = 0.8
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = T
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 75.0
tangential_tolerance = 1e-4
min_gap = 0.0003429
[]
[thermal_sink]
type = GapHeatTransfer
variable = T
primary = 53
secondary = 2
quadrature = true
gap_conductivity = 75.0
tangential_tolerance = 1e-4
min_gap = 0.0003429
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_sink]
type = DirichletBC
variable = disp_y
boundary = 50
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 51
factor = 151000.0
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6
startup_time = 0
R = 8.3143
temperature = ave_temp_plenum
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
execute_on = timestep_end
[]
[]
[]
[Materials]
[phase]
type = PhaseUPuZr
block = pellet
AB_temp = 965.15
CD_temp = 995.15
outputs = all
calc_H = false
temperature = T
[]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = 0.0021971
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.22566146557004974
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = pellet
temperature = T
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = T
porosity = porosity
max_inelastic_increment = 2e-3
fission_rate = fission_rate
[]
[fuel_thermal_expansion]
type = UPuZrThermalExpansionEigenstrain
block = pellet
temperature = T
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = T
initial_porosity = 0.0
bubble_number_density = 5e17
interconnection_initiating_porosity = 0.16
interconnection_terminating_porosity = 0.18
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
anisotropic_factor = 0.5
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_factor = 1.5
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
spheat_model = savage
thcond_model = billone
porosity = porosity
temperature = T
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fractional_yield = 0.25
critical_porosity = 0.17
fractional_fgr_initial = 0.4
fractional_fgr_post = 0.7354
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_creep'
block = clad
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
factor = 1
axial_power_profile = axial_flux_peaking_factors
rod_ave_lin_pow = flux_history
outputs = all
[]
[clad_creep]
type = D9CreepUpdate
fast_neutron_flux = fast_neutron_flux
block = clad
temperature = T
youngs_modulus = 1.88e11
[]
[thermal_expansion]
type = D9ThermalExpansionEigenstrain
block = clad
temperature = T
stress_free_temperature = 298.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = D9Thermal
block = clad
temperature = T
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[clad_volumetric_swelling]
type = D9VolumetricSwellingEigenstrain
eigenstrain_name = clad_volume_eigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
temperature = T
[]
[sink_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100e9
poissons_ratio = 0.35
block = heat_sink
[]
[sink_stress]
type = ComputeFiniteStrainElasticStress
block = heat_sink
[]
[sink_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = heat_sink
temperature = T
stress_free_temperature = 298.0
eigenstrain_name = sink_thermal_eigenstrain
thermal_expansion_coeff = 8.5e-6
[]
[sink_thermal]
type = HeatConductionMaterial
block = heat_sink
specific_heat = 540
thermal_conductivity = 17
[]
[sink_density]
type = StrainAdjustedDensity
block = heat_sink
strain_free_density = 4.51e3
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 5e-3
nl_abs_tol = 1e-5
end_time = 9
dtmin = 0.01
dtmax = 3
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.5
growth_factor = 2
cutback_factor = 0.1
iteration_window = 5
optimal_iterations = 20
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = T
execute_on = 'initial linear'
[]
[ave_temp_plenum]
type = SideAverageValue
boundary = 6
variable = T
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = T
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = T
[]
[avg_clad_temp]
type = ElementAverageValue
variable = T
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = T
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = T
value_type = max
block = pellet
[]
[avg_sink_temp]
type = ElementAverageValue
variable = T
block = heat_sink
[]
[peak_sink_temp]
type = ElementExtremeValue
variable = T
value_type = max
block = heat_sink
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = T
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = T
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_integral_power]
type = ElementIntegralPower
variable = T
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.343
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[peak_burnup]
type = ElementExtremeValue
block = pellet
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[disp_x_max]
type = NodalExtremeValue
variable = disp_x
block = clad
[]
[disp_y_max]
type = NodalExtremeValue
variable = disp_y
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_cladding_creep_strain]
type = ElementExtremeValue
variable = creep_strain_mag
block = clad
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[Outputs]
color = true
exodus = true
perf_graph = true
csv = true
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y T'
show_var_residual_norms = true
[]
[Dampers]
[max_inc_damp_x]
type = MaxIncrement
max_increment = 3e-4
variable = disp_x
[]
[max_inc_damp_y]
type = MaxIncrement
max_increment = 3e-4
variable = disp_y
[]
[max_inc_temp]
type = MaxIncrement
max_increment = 25
variable = T
[]
[]
(examples/TRISO/pebble/3D_pebble_with_failed_particles.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
flux_conversion_factor = 0.85
energy_per_fission = 3.204e-11 #[J/fission]
[]
[Mesh]
[file]
type = FileMeshGenerator
file = pebble.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Distributions]
[normal_kernel_r]
type = TruncatedNormal
mean = 213.35e-6
standard_deviation = 4.4e-6
lower_bound = 1.9575e-04
upper_bound = 2.3095e-04
[]
[normal_buffer_t]
type = TruncatedNormal
mean = 98.9e-6
standard_deviation = 8.4e-6
lower_bound = 6.53e-05
upper_bound = 1.325e-04
[]
[normal_ipyc_t]
type = TruncatedNormal
mean = 40.4e-6
standard_deviation = 2.5e-6
lower_bound = 3.0400e-05
upper_bound = 5.0400e-05
[]
[normal_sic_t]
type = TruncatedNormal
mean = 35.2e-6
standard_deviation = 1.2e-6
lower_bound = 3.0400e-05
upper_bound = 4.0000e-05
[]
[normal_opyc_t]
type = TruncatedNormal
mean = 43.4e-6
standard_deviation = 2.9e-6
lower_bound = 3.1800e-05
upper_bound = 5.5000e-05
[]
[]
[Samplers]
[sample]
type = MonteCarlo
num_rows = 100
distributions = 'normal_kernel_r normal_buffer_t normal_ipyc_t normal_sic_t normal_opyc_t'
execute_on = 'PRE_MULTIAPP_SETUP'
[]
[sample_failed]
type = MonteCarlo
num_rows = 10
distributions = 'normal_kernel_r normal_buffer_t normal_ipyc_t normal_sic_t normal_opyc_t'
execute_on = 'PRE_MULTIAPP_SETUP'
[]
[]
[MultiApps]
[sub]
type = SamplerTransientMultiApp
input_files = triso_1d.i
sampler = sample
execute_on = 'TIMESTEP_BEGIN'
mode = normal
[]
[sub_failed]
type = SamplerTransientMultiApp
input_files = triso_1d_failed.i
sampler = sample_failed
execute_on = 'TIMESTEP_BEGIN'
mode = normal
[]
[]
[DiracKernels]
[heat_source]
type = TRISOMonteCarloPointSource
variable = temperature
point_source_values = release_heat_inc
value_name = release_heat_inc:release_heat_inc
point_source_location = point_source_location
[]
[Cs_source]
type = TRISOMonteCarloPointSource
variable = conc_Cs
point_source_values = release_Cs_inc
value_name = release_Cs_inc:release_Cs_inc
point_source_location = point_source_location
[]
[heat_source_failed]
type = TRISOMonteCarloPointSource
variable = temperature
point_source_values = release_heat_inc_failed
value_name = release_heat_inc_failed:release_heat_inc
point_source_location = point_source_location_failed
[]
[Cs_source_failed]
type = TRISOMonteCarloPointSource
variable = conc_Cs
point_source_values = release_Cs_inc_failed
value_name = release_Cs_inc_failed:release_Cs_inc
point_source_location = point_source_location_failed
[]
[]
[UserObjects]
[point_source_location]
type = TRISOMonteCarloPointSourceLocation
min_radius = 0.0138
max_radius = 0.018
geometry = SPHERE
sampler = sample
fuel_element_blocks = 2
particle_space = 0.0002
execute_on = 'INITIAL'
[]
[point_source_location_failed]
type = TRISOMonteCarloPointSourceLocation
min_radius = 0.0138
max_radius = 0.018
geometry = SPHERE
sampler = sample_failed
fuel_element_blocks = 2
particle_space = 0.0002
execute_on = 'INITIAL'
[]
[]
[Transfers]
[release_heat_inc]
type = SamplerPostprocessorTransfer
from_multi_app = sub
sampler = sample
to_vector_postprocessor = release_heat_inc
from_postprocessor = release_heat_inc
[]
[release_Cs_inc]
type = SamplerPostprocessorTransfer
from_multi_app = sub
sampler = sample
to_vector_postprocessor = release_Cs_inc
from_postprocessor = release_Cs_inc
[]
[release_heat_inc_failed]
type = SamplerPostprocessorTransfer
from_multi_app = sub_failed
sampler = sample_failed
to_vector_postprocessor = release_heat_inc_failed
from_postprocessor = release_heat_inc
[]
[release_Cs_inc_failed]
type = SamplerPostprocessorTransfer
from_multi_app = sub_failed
sampler = sample_failed
to_vector_postprocessor = release_Cs_inc_failed
from_postprocessor = release_Cs_inc
[]
[temp_bc]
type = MultiAppVectorPostprocessorTransfer
to_multi_app = sub
vector_postprocessor = sample_points
postprocessor = temp_bc
vector_name = temperature
[]
[temp_bc_failed]
type = MultiAppVectorPostprocessorTransfer
to_multi_app = sub_failed
vector_postprocessor = sample_points_failed
postprocessor = temp_bc
vector_name = temperature
[]
[]
[Controls]
[cmdline]
type = MultiAppSamplerControl
multi_app = sub
sampler = sample
param_names = 'kernel_radius buffer_thickness IPyC_thickness SiC_thickness OPyC_thickness'
[]
[cmdline_failed]
type = MultiAppSamplerControl
multi_app = sub_failed
sampler = sample_failed
param_names = 'kernel_radius buffer_thickness IPyC_thickness SiC_thickness OPyC_thickness'
[]
[]
[VectorPostprocessors]
[sample_points]
type = TRISOMonteCarloPointValueSampler
variable = temperature
execute_on = 'INITIAL TIMESTEP_BEGIN'
point_source_location = point_source_location
[]
[sample_points_failed]
type = TRISOMonteCarloPointValueSampler
variable = temperature
execute_on = 'INITIAL TIMESTEP_BEGIN'
point_source_location = point_source_location_failed
[]
[release_heat_inc]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[release_Cs_inc]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[heat_source_output]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = release_heat_inc
value_name = release_heat_inc:release_heat_inc
point_source_location = point_source_location
execute_on = 'TIMESTEP_END'
[]
[Cs_source_output]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = release_Cs_inc
value_name = release_Cs_inc:release_Cs_inc
point_source_location = point_source_location
execute_on = 'TIMESTEP_END'
[]
[release_heat_inc_failed]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[release_Cs_inc_failed]
type = StochasticResults
execute_on = 'TIMESTEP_BEGIN'
[]
[heat_source_output_failed]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = release_heat_inc_failed
value_name = release_heat_inc_failed:release_heat_inc
point_source_location = point_source_location_failed
execute_on = 'TIMESTEP_END'
[]
[Cs_source_output_failed]
type = TRISOMonteCarloPointSourceOutput
vector_postprocessor = release_Cs_inc_failed
value_name = release_Cs_inc_failed:release_Cs_inc
point_source_location = point_source_location_failed
execute_on = 'TIMESTEP_END'
[]
[]
[Variables]
[temperature]
initial_condition = 773.15
[]
[conc_Cs]
scaling = 1e14
[]
[]
[AuxVariables]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e3 4.51008e7' #change time (s) for desired EFPD
y = '0 1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 2.927e18
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[density]
type = MaterialRealAux
variable = density
property = density
block = '1 2 3'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = '1 2 3'
execute_on = timestep_end
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
block = '1 2 3'
execute_on = timestep_end
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[]
[BCs]
[coolant_temp]
type = DirichletBC
variable = temperature
boundary = exterior
value = 773.15
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.109e18
[]
##### fuel region propereties
[fueled_region_thermal]
type = GraphiteMatrixThermal
block = 2
graphite_grade = A3_27_1800
packing_fraction = 0.22
temperature = temperature
initial_matrix_density = 1750.0
[]
[fueled_region_density]
type = ParsedMaterial
block = 2
property_name = density
expression = 1750.0
[]
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = 2
d1 = 1e-8 # m^2/s
q1 = 0.0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
##### Shell properties
[shell_region_thermal]
type = GraphiteMatrixThermal
block = 3
graphite_grade = A3_27_1800
packing_fraction = 0.0
temperature = temperature
initial_matrix_density = 1750.0
[]
[shell_region_density]
type = ParsedMaterial
block = 3
property_name = density
expression = 1750.0
[]
[shell_conc_Cs]
type = ArrheniusDiffusionCoef
block = 3
d1 = 1e-8 # m^2/s
q1 = 0.0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
##### pebble core
[core_region_thermal]
type = GraphiteMatrixThermal
block = 1
graphite_grade = A3_27_1800
packing_fraction = 0.0
temperature = temperature
initial_matrix_density = 1400.0
[]
[core_region_density]
type = ParsedMaterial
block = 1
property_name = density
expression = 1400.0
[]
[core_conc_Cs]
type = ArrheniusDiffusionCoef
block = 1
d1 = 1e-8 # m^2/s
q1 = 0.0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature'
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-9
nl_abs_tol = 1e-9
nl_max_its = 15
l_tol = 1e-5
l_max_its = 30
start_time = 0.0
dt = 50000
num_steps = 10
[]
[Postprocessors]
### irradiation conditions
[pebble_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = 2
execute_on = 'initial timestep_end'
[]
[heat_from_pebble]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = exterior
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[fast_neutron_maximum_fluence_MP]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = '1 2 3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[fast_neutron_maximum_flux_MP]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_flux
block = '1 2 3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[fission_rate_maximum]
type = ElementExtremeMaterialProperty
mat_prop = fission_rate
block = '1 2 3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### temperatures
[fuel_minimum_temperature]
type = NodalExtremeValue
variable = temperature
block = '2'
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[fuel_average_temperature]
type = AverageNodalVariableValue
variable = temperature
block = '2'
execute_on = 'initial timestep_end'
[]
[fuel_maximum_temperature]
type = NodalExtremeValue
variable = temperature
block = '2'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[shell_minimum_temperature]
type = NodalExtremeValue
variable = temperature
block = '3'
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[shell_average_temperature]
type = AverageNodalVariableValue
variable = temperature
block = '3'
execute_on = 'initial timestep_end'
[]
[shell_maximum_temperature]
type = NodalExtremeValue
variable = temperature
block = '3'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[core_minimum_temperature]
type = NodalExtremeValue
variable = temperature
block = '1'
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[core_average_temperature]
type = AverageNodalVariableValue
variable = temperature
block = '1'
execute_on = 'initial timestep_end'
[]
[core_maximum_temperature]
type = NodalExtremeValue
variable = temperature
block = '1'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(assessment/LWR/validation/HBEP/analysis/BK365/HBEP_BK365.i)
initial_fuel_density = 10233
[GlobalParams]
density = ${initial_fuel_density} #93.2% of TD (TD assumed to be 10980)
initial_porosity = 0.068
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = HBEP.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 10.53e-6 # = 13.5e-6 experimental dia * 1.56 /2
[]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[disp_r]
[]
[]
[Functions]
[power_history]
# reads and interpolates an input file containing rod average linear power vs time
type = PiecewiseLinear
data_file = BK365_linear_power.csv
format = columns
[]
[axial_peaking_factors]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = BK365_power_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
#Ambient for initial build @ 0.101353 MPa, PWR @ 13.73 MPa and PIE @ 0.101353 MPa
x = '-100 0 137115360 137118960'
y = '0.007382 1 1 0.007382'
[]
[flux]
type = PiecewiseLinear
data_file = BK365_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = BK365_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = BK365_clad_temp_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_xx
creep_strain_yy creep_strain_xy'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
# gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1 # fission rate applied to the fuel only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
a_lower = 0.00324
a_upper = 1.02024
fuel_outer_radius = 4.095e-3
fuel_inner_radius = 1.24e-3
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0707 0.9293 0 0 0 0'
num_radial = 80
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = '1'
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = '1'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_hoop]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
index_i = 2
index_j = 2
execute_on = timestep_end
block = 1
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10 # fuel
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
primary = 5 # clad
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = .955e-6
roughness_primary = 1.5e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 13.73e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.88e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10233
[]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 300
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = .00819
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =1.7e-4 #diameteral gap
relocation_activation1 = 5000 # initial relocation activation power set to 5kW/m
burnup_relocation_stop = .04
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 50
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 137118960
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 2e6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.017 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 4784
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
value_type = min
variable = penetration
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[]
[VectorPostprocessors]
[Concentrations]
type = RadialProfileSampler
variable = 'disp_x'
sort_by = 'id'
burnup_function = burnup
quantity = 'N235 N236 N238 N239 N240 N241 N242 ntot_hm'
height = 0.46324
execute_on = timestep_end
outputs = 'Concentrations'
[]
[True]
type = RadialProfile
quantity = 'N235 N236 N238 N239 N240 N241 N242'
height = 0.46324
burnup_function = burnup
outputs = 'True'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[Concentrations]
type = CSV
file_base = 'Concentrations/'
[]
[True]
type = CSV
file_base = 'True/'
[]
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/IFA_515_RodA1/analysis/IFA515.i)
# Reference document HWR-671
# Block 1 = cladding, Block 3 and 5 = insulators Block 4 = fuel
id = IFA515
# Fuel material properties
initial_fuel_density = 10628.64 # kg/m^3 # initial fuel density 96.8% of theoretical (10980 kg/m3)
initial_grain_radius = 7.75e-6 # m [(18.1+13.1+15.3)/(3*2)]
initial_fuel_porosity = 0.032 # (-)
fuel_thermal_expansion_coeff = 10e-6 # K^-1
# Insulator material properties
insulator_burnup_function = 0 # (-)
insulator_thermal_expansion_coeff = 10e-6 # K^-1
# Cladding material properties
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
cladding_youngs_modulus = 8.8e10 # Pa
cladding_poissons_ratio = 0.34 # (-)
cladding_density = 6551.0 # kg/m^3
# Rod geometry
a_lower = 0.00851 # m (Checked with Paraview)
a_upper = 0.22051 # m (Checked with Paraview)
fuel_inner_radius = 0.0009 # m (Checked with Paraview)
fuel_outer_radius = 0.00278 # m (Checked with Paraview)
fuel_volume_ratio = 1.0 # (-)
fuel_diameter = 0.00556 # m
diametral_gap = 5.0e-5 # m
rod_power_scale_factor = 0.212 # m (rod height)
# Temperature conditions
initial_temperature = 300 # K
stress_free_temperature = 300 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0 199274402 199274403'
pressure_ramp_y = '0.0298 1 1 0.0298'
pressure_ramp_factor = 3.40e6 # (-) CHECK could not locate a number in hwr-671
# Plenum parameters
initial_plenum_pressure = 1.0e6 # Pa
startup_time = 0 # s
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-K
# Neutronics and power
energy_per_fission = 3.2e-11 # J/fission (200 MeV per fission)
fast_neutron_flux_factor = 1.6e12 # n/m2-s per W/m
# Contact
contact_penalty = 1e14 # (-)
roughness_primary = 2.8e-7 # (2.6e-7+3e-7)/2 = 2.8e-7
roughness_secondary = 1e-6
kennard_coefficient = 0.2173
# Relocation
relocation_activation1 = 5000 # W/m
burnup_relocation_stop = 0.02524 # FIMA
# Numerical options
damper_max_temperature_increment = 50.0 # K
l_max_its = 50
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 199278002 # s (199275500+3600)
dtmax = 1e6 # s
dtmin = 1 # s
TimeStepper_dt = 10000 # s
TimeStepper_optimal_iterations = 1000
TimeStepper_growth_factor = 10
TimeStepper_linear_iteration_ratio = 100
# Postprocessor parameters
FCT_top_nodeid = 4066 # Global node ID 4067
FCT_mid_nodeid = 2073 # Global node ID 2074
FCT_bottom_nodeid = 125 # Global node ID 126
# Data file pathways
rod_mesh_file = 'ifa515_insulator.e'
power_profile_data_file = 'IFA515_power.csv'
clad_wall_temp_data_file = 'IFA515_clad_temp.csv'
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = ${initial_temperature} # set initial temperature to ambient
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[grain_radius]
block = 4
initial_condition = ${initial_grain_radius}
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = ${power_profile_data_file}
format = columns
[]
[axial_peaking_factors]
type = ParsedFunction # no axial power profile
expression = '1'
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = ${clad_wall_temp_data_file}
format = columns
[]
[axial_clad_peaking]
type = ParsedFunction # no axial clad temperature
expression = '1'
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = '4'
strain = FINITE
incremental = true
temperature = temperature
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[insulation]
block = '3 5'
strain = FINITE
incremental = true
temperature = temperature
eigenstrain_names = 'insulator_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
incremental = true
temperature = temperature
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[]
[Kernels]
[heat]
# gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = 4 # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Burnup]
[burnup]
block = 4
rod_ave_lin_pow = power_profile # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 20
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.115 0.885 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 4
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel and insulators
formulation = kinematic
penalty = ${contact_penalty}
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact_clad]
# thermal conatact between the fuel outer radius and the clad inner wall
type = GasGapHeatTransfer
variable = temperature
primary = 5 # clad Zr barrier not modeled
secondary = 10 # fuel and insulators
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
kennard_coefficient = ${kennard_coefficient}
gap_conductance_model = TOPTAN
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = TOPTAN
meyer_hardness_model = MATPRO
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
factor = ${pressure_ramp_factor}
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 4
burnup = burnup
temperature = temperature
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
block = '4'
temperature = temperature
thermal_conductivity_model = NFIR
burnup = burnup
initial_porosity = ${initial_fuel_porosity}
[]
[insulator_thermal]
type = UO2Thermal
block = '3 5'
temperature = temperature
thermal_conductivity_model = NFIR
burnup_function = ${insulator_burnup_function}
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '4'
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 4
temperature = temperature
[]
[fuel_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = 4
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 4
burnup = burnup
diameter = ${fuel_diameter}
diametral_gap =${diametral_gap}
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = ${relocation_activation1}
burnup_relocation_stop = ${burnup_relocation_stop}
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[insulator_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3 5'
[]
[insulator_elasticity_tensor]
type = UO2ElasticityTensor
block = '3 5'
temperature = temperature
[]
[insulator_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = '3 5'
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_coeff = ${insulator_thermal_expansion_coeff}
eigenstrain_name = 'insulator_thermal_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 4
temperature = temperature
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = grain_radius
gbs_model = true
burnup = burnup
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = ${cladding_youngs_modulus}
poissons_ratio = ${cladding_poissons_ratio}
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = '1'
strain_free_density = ${cladding_density}
[]
[fuel_density]
type = StrainAdjustedDensity
block = '4 3 5'
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = ${damper_max_temperature_increment}
variable = temperature
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = ${l_max_its}
l_tol = ${l_tol}
# controls for nonlinear iterations
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
# time control
start_time = ${start_time}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
# control for adaptive time steping
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
optimal_iterations = ${TimeStepper_optimal_iterations}
growth_factor = ${TimeStepper_growth_factor}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
force_step_every_function_point = true
timestep_limiting_function = power_profile
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 4
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 4
outputs = exodus
[]
[average_grain_radius]
type = ElementAverageValue
block = '4'
variable = grain_radius
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = 4
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = ${rod_power_scale_factor}
[]
[average_fission_rate]
type = ElementAverageValue
block = 4
variable = fission_rate
[]
[FCT_top]
type = NodalVariableValue
nodeid = ${FCT_top_nodeid}
variable = temperature
[]
[FCT_mid]
type = NodalVariableValue
nodeid = ${FCT_mid_nodeid}
variable = temperature
[]
[FCT_bottom]
type = NodalVariableValue
nodeid = ${FCT_bottom_nodeid}
variable = temperature
[]
[FCT_ave]
type = SideAverageValue
boundary = 13
variable = temperature
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 4
cladding_blocks = 1
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_burnup fission_gas_released FCT_top FCT_mid rod_total_power'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.0248576
pellet_height = 0.2606424
pellet_quantity = 1
clad_bot_gap_height = 0.0145
pellet_outer_radius = 3.92e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 95032000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(examples/TRISO/parfume/parfume.i)
# UCO TRISO particle using several PARFUME models
initial_fuel_density = 10400
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.1955 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 923.15 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.5 # Initial Oxygen to Uranium atom ratio
C_U = 0.4 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.125e-4 3.125e-4 3.125e-4 3.525e-4 3.875e-4 4.275e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
[]
[]
[Variables]
[temperature]
initial_condition = 923.15
[]
[conc]
initial_condition = 0.0
scaling = 1e18
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[gap_condSlave]
order = CONSTANT
family = MONOMIAL
[]
[density]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[swelling]
order = CONSTANT
family = MONOMIAL
[]
[specific_heat]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_IIDC_strain]
order = CONSTANT
family = MONOMIAL
[]
[radial_IIDC_strain]
order = CONSTANT
family = MONOMIAL
[]
[tangential_IIDC_strain]
order = CONSTANT
family = MONOMIAL
[]
[BAF]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[gap_HTC]
order = CONSTANT
family = MONOMIAL
[]
[gap_distance]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 3.89e19
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_thermal_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'buffer_IIDC_strain buffer_thermal_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'IPyC_IIDC_strain IPyC_thermal_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
add_variables = true
strain = FINITE
incremental = true
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names = 'OPyC_IIDC_strain OPyC_thermal_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = TimeDerivative
variable = conc
extra_vector_tags = 'ref'
[]
[mass]
type = ArrheniusDiffusion
variable = conc
extra_vector_tags = 'ref'
[]
[mass_source]
type = BodyForce
variable = conc
function = power_history
value = 1.22e-5 # units of mol/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_begin
[]
[conductanceSlave]
type = MaterialRealAux
property = gap_conductance
variable = gap_condSlave
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
[]
[density]
type = MaterialRealAux
variable = density
property = density
block = 'fuel buffer IPyC SiC OPyC'
execute_on = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[specific_heat]
type = MaterialRealAux
variable = specific_heat
property = specific_heat
block = 'fuel buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[swelling]
type = MaterialRealAux
variable = swelling
property = swelling
block = fuel
execute_on = linear
[]
[volumetric_IIDC_strain]
type = MaterialRealAux
variable = volumetric_IIDC_strain
property = volumetric_IIDC_strain
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[radial_IIDC_strain]
type = MaterialRealAux
variable = radial_IIDC_strain
property = radial_IIDC_strain
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[tangential_IIDC_strain]
type = MaterialRealAux
variable = tangential_IIDC_strain
property = tangential_IIDC_strain
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[BAF]
type = MaterialRealAux
variable = BAF
property = BAF
block = 'IPyC OPyC'
execute_on = timestep_end
[]
[fis_gas_produced]
type = MaterialRealAux
variable = fis_gas_produced
property = fis_gas_produced
block = fuel
execute_on = linear
[]
[fis_gas_released]
type = MaterialRealAux
variable = fis_gas_released
property = fis_gas_released
block = fuel
execute_on = linear
[]
[gap_HTC]
type = MaterialRealAux
property = gap_conductance
variable = gap_HTC
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
[]
[gap_distance]
type = PenetrationAux
variable = gap_distance
boundary = buffer_outer_boundary
paired_boundary = IPyC_inner_boundary
quantity = distance
tangential_tolerance = 1e-6
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
initial_gas_types = 'Kr Xe'
initial_fractions = '0.185 0.815'
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[cesium_contact]
type = GapHeatTransfer
variable = conc
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC
variable = conc
boundary = exterior
value = 0.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 100.0
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 5e17
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
### UCO properties
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[UCO_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6 # check this value for UCO
eigenstrain_name = UCO_thermal_strain
temperature = temperature
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[fuel_conc]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
temperature = temperature
[]
### Buffer Properties
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_thermal_strain]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = buffer_thermal_strain
temperature = temperature
[]
[buffer_IIDC_strain]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = buffer_IIDC_strain
temperature = temperature
[]
[buffer_conc]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
### IPyC properties
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
initial_BAF = 1.045
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1900.0
[]
[IPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.045
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.045
block = OPyC
[]
[IPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_thermal_strain
temperature = temperature
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
### SiC properties
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = GenericConstantMaterial
block = SiC
prop_names = 'density'
prop_values = 3200.0
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[SiC_conc]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fast_neutron_fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
temperature = temperature
[]
### OPyC properties
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.045
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900.0
[]
[OPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
[]
[OPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_thermal_strain
temperature = temperature
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
temperature = temperature
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-6
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'disp_x temperature conc'
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-7 #1e-12
nl_max_its = 15
l_tol = 1e-4 #1e-8
l_max_its = 50
start_time = 0.0
end_time = 85.3682e6 #5.0e7
num_steps = 1000
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
growth_factor = 1.5
optimal_iterations = 8 #6
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
[cs_release]
type = SideIntegralMassFlux
variable = conc
boundary = exterior
[]
[int_cs_release]
type = TimeIntegratedPostprocessor
value = cs_release
[]
[cs_release_fuel]
type = SideIntegralMassFlux
variable = conc
boundary = fuel_outer_boundary
[]
[int_cs_release_fuel]
type = TimeIntegratedPostprocessor
value = cs_release_fuel
[]
[cs_release_PyCGapBndry]
type = SideIntegralMassFlux
variable = conc
boundary = IPyC_inner_boundary
[]
[int_cs_release_PyCGapBndry]
type = TimeIntegratedPostprocessor
value = cs_release_PyCGapBndry
[]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[ave_gap_temp]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
scale_factor = -1
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
execute_on = 'initial timestep_end'
scale_factor = -1
[]
[volumeGas]
type = InternalVolume
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
scale_factor = -1
addition = 4.67e-11
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_outer_boundary
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_outer_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[gap_HTC]
type = ElementExtremeValue
variable = gap_HTC
block = buffer
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
outputs = exodus
execute_on = 'initial timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
outputs = exodus
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
block = 'fuel buffer IPyC SiC OPyC'
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### II strain
[OPyC_radial_IIDC_strain]
type = ElementExtremeValue
variable = radial_IIDC_strain
block = OPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[OPyC_tangential_IIDC_strain]
type = ElementExtremeValue
variable = tangential_IIDC_strain
block = OPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[IPyC_radial_IIDC_strain]
type = ElementExtremeValue
variable = radial_IIDC_strain
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[IPyC_tangential_IIDC_strain]
type = ElementExtremeValue
variable = tangential_IIDC_strain
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### temperatures
[max_T_kernel]
type = NodalExtremeValue
variable = temperature
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_T_buffer]
type = NodalExtremeValue
variable = temperature
block = buffer
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[min_T_buffer]
type = NodalExtremeValue
variable = temperature
block = buffer
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[max_T_IPyC]
type = NodalExtremeValue
variable = temperature
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_T_SiC]
type = NodalExtremeValue
variable = temperature
block = SiC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### displacement BCs
[max_disp_kernel]
type = NodalExtremeValue
variable = disp_x
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[min_disp_buffer]
type = NodalExtremeValue
variable = disp_x
block = buffer
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[max_disp_IPyC]
type = NodalExtremeValue
variable = disp_x
block = IPyC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
#### hoop stresses
[hoop_opyc_max]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
execute_on = 'initial timestep_end'
[]
[hoop_sic_max]
type = ElementExtremeValue
variable = stress_yy
block = SiC
execute_on = 'initial timestep_end'
[]
[hoop_ipyc_max]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
execute_on = 'initial timestep_end'
[]
[hoop_buffer_max]
type = ElementExtremeValue
variable = stress_yy
block = buffer
execute_on = 'initial timestep_end'
[]
[hoop_opyc_min]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
value_type = min
execute_on = 'initial timestep_end'
[]
[hoop_sic_min]
type = ElementExtremeValue
variable = stress_yy
block = SiC
value_type = min
execute_on = 'initial timestep_end'
[]
[hoop_ipyc_min]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
value_type = min
execute_on = 'initial timestep_end'
[]
[hoop_buffer_min]
type = ElementExtremeValue
variable = stress_yy
block = buffer
value_type = min
execute_on = 'initial timestep_end'
[]
### Check warning for Density
[oPyC_density]
type = ElementExtremeValue
variable = density
block = OPyC
execute_on = 'initial timestep_end'
[]
[sic_density]
type = ElementExtremeValue
variable = density
block = SiC
execute_on = 'initial timestep_end'
[]
[IPyC_density]
type = ElementExtremeValue
variable = density
block = IPyC
execute_on = 'initial timestep_end'
[]
[buffer_density]
type = ElementExtremeValue
variable = density
block = buffer
execute_on = 'initial timestep_end'
[]
[kernel_density]
type = ElementExtremeValue
variable = density
block = fuel
execute_on = 'initial timestep_end'
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(examples/2D-RZ_rodlet_10pellets/smeared_cracking/ADSmearedCracking.i)
# This model is a higher order, smeared 10 pellet fuel stack (pellet).
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 10
pellet_height = 0.01186
pellet_outer_radius = 4.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
clad_gap_width = 160.0e-6
clad_thickness = 0.56e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 2.6e-2
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[crack_x]
order = CONSTANT
family = MONOMIAL
[]
[crack_y]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e08'
y = '0 2.5e4 2.5e04'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
variable = disp_y
value = -9.81
[]
[heat]
type = ADHeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADNeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = ADRankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[crack_x]
type = ADMaterialRealVectorValueAux
variable = crack_x
property = crack_damage
component = 0
block = pellet
[]
[crack_y]
type = ADMaterialRealVectorValueAux
variable = crack_y
property = crack_damage
component = 1
block = pellet
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
use_automatic_differentiation = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
use_automatic_differentiation = true
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
use_ad = true
[]
[]
[Materials]
[fuel_thermal]
type = ADUO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ADComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
[]
[exponential_softening]
type = ADExponentialSoftening
[]
[fuel_creep]
type = ADUO2CreepUpdate
block = pellet
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = ADUO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = ADUO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = ADHeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ADZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ADZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = ADUO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
verbose = false
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1.0e8
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ADElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ADElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_grain]
type = ADElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ADElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[]
# [VectorPostprocessors]
# [clad]
# type = NodalValueSampler
# variable = disp_x
# boundary = 2
# sort_by = y
# outputs = 'outfile_clad_radial_displacement'
# []
# [pellet]
# type = NodalValueSampler
# variable = disp_x
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_radial_displacement'
# []
# []
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
# [outfile_clad_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
# [outfile_fuel_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
[]
[PerformanceMetricOutputs]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_E/x441_grp_E.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/3D_rodlet_3pellets/discrete_quarter_symm/3d_3pellets_mortar.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} #95% TD (TD = 10980)
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y disp_z'
converge_on = 'disp_x disp_y disp_z temp'
[]
[Mesh]
[file]
type = FileMeshGenerator
file = DiscreteThreePellets3D_90deg_HEX8.e
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 20
patch_update_strategy = iteration
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fission_rate]
block = 3
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 3
initial_condition = 5e-6
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[hoop_inelastic_strain]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[pid]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 25e3 # 25 kW/m peak power.
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_strain fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[clad]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 2.49e-3
a_upper = 2.621e-2
fuel_inner_radius = 0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 3
value = 5.3548e+14
fission_rate_function = power_history
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 2.34e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gas_swell]
type = MaterialRealAux
block = 3
variable = gas_swell
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[hoop_inelastic_strain]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = hoop_inelastic_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[pid]
type = ProcessorIDAux
variable = pid
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = mortar
model = coulomb
c_normal = 1e+18
c_tangential = 1e+18
friction_coefficient = 0.5
#normalize_c = true
#correct_edge_dropping = true
#normal_lm_scaling = 1.0e-5
#tangential_lm_scaling = 1.0e-5
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
gas_released = fis_gas_released_model
initial_moles = initial_moles
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_x_wedge]
type = DirichletBC
variable = disp_x
boundary = 98
value = 0.0
[]
[no_z_wedge]
type = DirichletBC
variable = disp_z
boundary = 99
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0.0
material_input = fis_gas_released_model
output_initial_moles = initial_moles
R = 8.3143
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # PA
inlet_massflux = 3880 # kg/m^2-sec
rod_diameter = 0.95e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.00836
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =50.0e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.02
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
temperature = temp
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
# thermal_expansion_coeff = 10.0e-6 (reference)
# We are artificially increasing the fuel expansion to simulate mechanical contact within reasonable 'example' time
thermal_expansion_coeff = 70.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_strain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = 1
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-13'
line_search = 'basic'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-6
nl_abs_tol = 1e-9
start_time = -200
dtmax = 1.0e6
dtmin = 1.0
end_time = 25200
# Use time below for realistic fuel thermal expansion
# end_time = 4.0e7
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
optimal_iterations = 15
iteration_window = 3
growth_factor = 2.0
cutback_factor = 0.5
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
scale_factor = 4.0 # Quarter-Symmetry Model Correction
execute_on = 'INITIAL TIMESTEP_END'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
scale_factor = 4.0 # Quarter-Symmetry Model Correction
execute_on = 'INITIAL TIMESTEP_END'
[]
[gas_volume]
type = InternalVolume
boundary = 9
scale_factor = 4.0 # Quarter-Symmetry Model Correction
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced_model]
type = ElementIntegralFisGasGeneratedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = fis_gas_produced_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[fis_gas_released_model]
type = ElementIntegralFisGasReleasedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fission_gas_released] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = fis_gas_released_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
execute_on = 'initial timestep_end'
[]
[flux_from_clad_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_clad] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = flux_from_clad_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[flux_from_fuel_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = flux_from_fuel_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
execute_on = 'initial timestep_end'
[]
[rod_total_power_model]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
execute_on = 'initial timestep_end'
[]
[rod_total_power] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = rod_total_power_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.03
execute_on = 'initial timestep_end'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'fission_gas_released plenum_pressure interior_temp gas_volume'
[]
[]
(test/tests/triso_failure/ad_triso_1d_weibull_probability.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
use_automatic_differentiation = true
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_source]
type = ADNeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = ADBurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
use_automatic_differentiation = true
[]
[]
[BCs]
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = ADDirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = ADPressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
# apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = ADUO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ADComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = ADPyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[PyC_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = ADUO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_thermal]
type = ADHeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = ADStrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_thermal]
type = ADHeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = ADStrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_thermal]
type = ADHeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = ADStrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength]
type = ADGenericConstantMaterial
prop_values = '1000 1000 1000'
prop_names = 'characteristic_strength_SiC characteristic_strength_IPyC characteristic_strength_OPyC'
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-6
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ADElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ADElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[Weibull_failure_probability_OPyC]
type = ADWeibullFailureProbability
block = OPyC
weibull_modulus = 6
characteristic_strength = characteristic_strength_OPyC
[]
[Weibull_failure_probability_IPyC]
type = ADWeibullFailureProbability
block = IPyC
weibull_modulus = 6
characteristic_strength = characteristic_strength_IPyC
[]
[Weibull_failure_probability_SiC]
type = ADWeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength_SiC
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(examples/NuclearMaterialActions/MetallicFuel/x441_group_A_nominal_action.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
temperature = temperature
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = 0.38e-03
pellet_outer_radius = 2.195e-03
pellet_height = 343.0e-3
clad_top_gap_height = 373.0e-3
clad_gap_width = 0.345e-3
bottom_clad_height = 7.9e-3
top_clad_height = 7.9e-3
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 3
ny_p = 40
nx_c = 2
ny_c = 40
ny_cu = 2
ny_cl = 2
pellet_quantity = 1
elem_type = QUAD4
[]
# mesh options
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = ParsedFunction
expression = 0.151e6
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = 343.0e-3
pellet_y_start = 8.1e-3
[]
[engr_radial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_rad / 2.195e-03'
symbol_values = 'max_fuel_radial_disp'
symbol_names = 'fuel_disp_rad'
[]
[engr_axial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_axial / 343.0e-3'
symbol_values = 'max_fuel_elongation'
symbol_names = 'fuel_disp_axial'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temperature
primary = 5
secondary = 10
quadrature = true
gap_conductance = 176811.6
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[NuclearMaterials]
physics = 'Mechanics Thermal'
fission_operation = Normal
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
add_variables = true
extra_vector_tags = 'ref'
strain = FINITE
decomposition_method = TaylorExpansion
stress_free_temperature = 295.0
initial_temperature = 298
incremental = true
[UPuZr]
[fuel]
block = pellet
additional_generate_output = 'volumetric_strain'
upuzr_models = 'Elastic Burnup Creep Swelling ThermalExpansion'
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = 2.195e-03
bubble_number_density = 5e17
interconnection_initiating_porosity = 0.29
interconnection_terminating_porosity = 0.31
initial_X_Pu = 0.225
initial_X_Zr = 0.163
critical_porosity = 0.30
fractional_fgr_initial = 0.4
fractional_fgr_post = 0.8
density = 15800
output_properties = 'porosity gaseous_porosity'
max_inelastic_increment = 1e-2
[]
[]
[HT9]
[clad]
block = clad
additional_generate_output = 'hoop_creep_strain hoop_elastic_strain'
ht9_models = 'Elastic Creep ThermalExpansion'
fast_flux_factor = 2.47e19
[]
[]
[]
[Materials]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temperature
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-5
nl_abs_tol = 1e-7
end_time = 1e7
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 6
optimal_iterations = 20
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temperature
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temperature
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temperature
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temperature
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temperature
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temperature
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = -1.53703e-6
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = creep_strain_zz
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_radial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_xx
[]
[max_fuel_axial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_yy
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_fuel_radial_disp]
type = NodalExtremeValue
variable = disp_x
boundary = 'all_pellet_exterior'
[]
[engr_strain_fuel_radial]
type = FunctionValuePostprocessor
function = engr_radial_strain_fuel
[]
[engr_strain_fuel_axial]
type = FunctionValuePostprocessor
function = engr_axial_strain_fuel
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
time_step_interval = 1
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_group_A_nominal_action_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temperature'
show_var_residual_norms = true
[]
(test/tests/element_integral_power/element_integral_power_rz_mat_test.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a RZ cylinder
# having an inner radius of 0.01 m, outer radius of 0.0114818 m and height of 0.01 m.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * Pi*(0.0114818^2 - 0.01^2) * 0.01
# = 100
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = cylinder.e
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[T]
order = FIRST
family = LAGRANGE
initial_condition = 500.0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[ie]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = FissionRateHeatSource
variable = T
energy_per_fission = 3.2e-11
[]
[]
[BCs]
[bottom_T]
type = DirichletBC
variable = T
boundary = 1
value = 500.0
[]
[top_T]
type = NeumannBC
variable = T
boundary = 2
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericConstantMaterial
prop_names = 'fission_rate'
prop_values = '3.125e18'
outputs = all
[]
[fuel]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 10000
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 2
dt = 1.0e6
[]
[Postprocessors]
[rod_total_power]
type = ElementIntegralPower
variable = T
use_material_fission_rate = true
fission_rate_material = fission_rate
block = 1
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
file_base = out_rz_mat
exodus = true
hide = fission_rate
[]
(examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain_mortar_friction/2D_discrete_finiteStrain_mortar_friction.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
family = LAGRANGE
order = FIRST
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'temperature disp_x disp_y'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = always
patch_size = 100 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[file]
file = ../fine10_rz.e
type = FileMeshGenerator
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[disp_x]
block = 'pellet_type_1 clad'
[]
[disp_y]
block = 'pellet_type_1 clad'
[]
[]
[AuxVariables]
# Define auxilary variables
[pid]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ../powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ../peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
block = 'pellet_type_1 clad'
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+09
c_tangential = 1e+17
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[pidaux]
type = ProcessorIDAux
variable = pid
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160.0e-6
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temperature
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-4 NONZERO 1e-12'
snesmf_reuse_base = false
line_search = 'basic'
l_max_its = 20
l_tol = 8e-3
nl_max_its = 60
nl_rel_tol = 1e-5
nl_abs_tol = 1e-12 # LM
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
automatic_scaling = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 50
iteration_window = 2
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[contact_evolution]
type = NodalVariableValue
variable = mechanical_normal_lm
nodeid = 4533
[]
[temp_evolution]
type = NodalVariableValue
variable = temperature
nodeid = 4533
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
#[centerline_temp]
# type = SideAverageValue
# boundary = 12
# variable = temp
# execute_on = linear
#[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temp]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[temperature_post]
type = NodalValueSampler
variable = temperature
boundary = '10'
sort_by = y
[]
[contact_post]
type = NodalValueSampler
variable = mechanical_normal_lm
boundary = '10'
sort_by = y
[]
[disp_x]
type = NodalValueSampler
variable = disp_x
boundary = '10'
sort_by = y
[]
[disp_y]
type = NodalValueSampler
variable = disp_y
boundary = '10'
sort_by = y
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(examples/NuclearMaterialActions/LWR/Normal/2D_discrete_finiteStrain_action/2D_discrete_finiteStrain_action_no_burnup.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
[GlobalParams]
# Set initial fuel density, other global parameters
density = 10431.0
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
temperature = temperature
grain_radius = grain_radius
order = FIRST #Mesh element dictate this
family = LAGRANGE
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = '../../../../2D-RZ_rodlet_10pellets/fine10_rz.e'
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = '../../../../2D-RZ_rodlet_10pellets/powerhistory.csv'
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = '../../../../2D-RZ_rodlet_10pellets/peakingfactors.csv'
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temperature_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[NuclearMaterials]
fission_operation = Normal
[UO2]
[fuel]
block = pellet_type_1
uo2_models = 'Burnup Elastic Relocation Swelling ThermalExpansion'
stress_free_temperature = 295.0
localized_initial_temperature = 580.0
burnup_relocation_stop = 0.03
# Explicit use of burnup parameters without FuelPinGeometry
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
num_axial = 11
num_radial = 80
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
fuel_outer_radius = 0.0041
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
isotopes = 'U235 U238'
isotope_fractions = '0.05 0.95'
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
cladding_models = 'Elastic Creep ThermalExpansion IrradiationGrowth'
stress_free_temperature = 295.0
localized_initial_temperature = 580.0
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = THIRD
side_order = FIFTH
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temperature_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temperature]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[mid_penetration]
type = NodalVariableValue
nodeid = 3781 #!!Mesh dependent!!
variable = penetration
[]
[central_fuel_temperature]
type = NodalVariableValue
variable = temperature
nodeid = 3781 # !! Mesh dependent
[]
[max_fuel_temperature]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(examples/pore_migration/mox_porosity_demo_2D_offset.i)
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube_2d_offset.e
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[pore]
initial_condition = 0.15
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 37500'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel]
type = FissionRateGeneral
fission_rate_formulation = LWR
variable = fission_rate_aux_variable
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0054
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.15
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0054
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[temp_cool_side]
type = DirichletBC
variable = temp
boundary = '3'
value = 600
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
porosity_limit = 0.95
block = 1
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 10662.0
block = 1
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity thermal_conductivity_dT specific_heat'
prop_values = '15.0 0.0 470'
block = 2
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 10000
dtmax = 100
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[a_run_time] # average temperature of cladding interior
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate_aux_variable
block = 1
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.000625 # rod height
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[] # end element average burnup
[]
[VectorPostprocessors]
[pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = line_plot
control_tags = a
[]
[gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[]
[Outputs]
perf_graph = true
exodus = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
file_base = offset
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2d/27_2d.i)
initial_fuel_density = 10485.9
[GlobalParams]
density = ${initial_fuel_density} #95.5% TD (TD = 10980)
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11 # J/fission (200 MeV)
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 3.5
pellet_outer_radius = 0.00456
pellet_mesh_density = customize
ny_p = 318
nx_p = 11
clad_thickness = 7.3e-4
clad_gap_width = 8.5e-5
clad_bot_gap_height = 1e-3
bottom_clad_height = 0.00224
top_clad_height = 0.00224
clad_top_gap_height = 0.315
clad_mesh_density = customize
ny_c = 324
nx_c = 4
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 10e-6 / 2 * 1.56 = 7.8e-6
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseBilinear
data_file = 27_2d_power.csv
axis = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0'
y = '0.006537 1'
[]
[time_function]
type = PiecewiseLinear
data_file = 27_2d_time_function.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellet]
block = pellet
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[clad]
block = clad
add_variables = false
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04 0.96 0 0 0 0'
RPF = RPF
fuel_volume_ratio = 1
fuel_pin_geometry = pin_geometry
[]
[]
[AuxKernels]
[GrainRadiusAux]
type = GrainRadiusAux
block = pellet
execute_on = linear
temperature = temp
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
block = clad
factor = 4.0e13 # (n/m2-s per W/m)
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.2e6 # FUMEXII_27(2d) => 22 bar (2.2 MPa) (He fill)
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 563
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 9.12e-3
rod_pitch = 1.43e-2
linear_heat_rate = power_profile
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.045
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.006
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10485.9
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
initial_porosity = 0.045
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 100.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-3
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
end_time = 146085120
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = time_function
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
[]
[int_flux_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[int_flux_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fissionrate]
type = ElementAverageValue
block = pellet
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 3.5 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = 1
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_G/x441_leg_G.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/3D_rodlet_3pellets/discrete_quarter_symm/3d_3pellets.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} #95% TD (TD = 10980)
displacements = 'disp_x disp_y disp_z'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y disp_z'
[]
[Mesh]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 20
patch_update_strategy = iteration
[mesh]
type = FileMeshGenerator
file = DiscreteThreePellets3D_90deg.e
[]
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fission_rate]
block = 3
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 3
initial_condition = 5e-6
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[hoop_inelastic_strain]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[pid]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 25e3 # 25 kW/m peak power.
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_strain fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 2.49e-3
a_upper = 2.621e-2
fuel_inner_radius = 0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 3
value = 5.3548e+14
fission_rate_function = power_history
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 2.34e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gas_swell]
type = MaterialRealAux
block = 3
variable = gas_swell
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[hoop_inelastic_strain]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = hoop_inelastic_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[pid]
type = ProcessorIDAux
variable = pid
[]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
penalty = 1e14
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
gas_released = fis_gas_released_model
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_x_wedge]
type = DirichletBC
variable = disp_x
boundary = 98
value = 0.0
[]
[no_z_wedge]
type = DirichletBC
variable = disp_z
boundary = 99
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0.0
material_input = fis_gas_released_model
output_initial_moles = initial_moles
R = 8.3143
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # PA
inlet_massflux = 3880 # kg/m^2-sec
rod_diameter = 0.95e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.05
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.00836
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =50.0e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.02
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
temperature = temp
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_strain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = 1
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
start_time = -200
dtmax = 1.0e6
dtmin = 1.0
end_time = 3.0e7
automatic_scaling = true
compute_scaling_once = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
optimal_iterations = 15
iteration_window = 3
growth_factor = 2.0
cutback_factor = 0.5
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
scale_factor = 4.0 # Quarter-Symmetry Model Correction
execute_on = 'INITIAL TIMESTEP_END'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
scale_factor = 4.0 # Quarter-Symmetry Model Correction
execute_on = 'INITIAL TIMESTEP_END'
[]
[gas_volume]
type = InternalVolume
boundary = 9
scale_factor = 4.0 # Quarter-Symmetry Model Correction
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced_model]
type = ElementIntegralFisGasGeneratedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = fis_gas_produced_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[fis_gas_released_model]
type = ElementIntegralFisGasReleasedSifgrs
block = 3
execute_on = 'initial timestep_end'
[]
[fission_gas_released] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = fis_gas_released_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
execute_on = 'initial timestep_end'
[]
[flux_from_clad_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_clad] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = flux_from_clad_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[flux_from_fuel_model]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = flux_from_fuel_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
execute_on = 'initial timestep_end'
[]
[rod_total_power_model]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
execute_on = 'initial timestep_end'
[]
[rod_total_power] # Scaled PostProcessor for Quarter-Symmetry Model
type = ScalePostprocessor
value = rod_total_power_model
scaling_factor = 4.0
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.03
execute_on = 'initial timestep_end'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'plenum_pressure interior_temp gas_volume'
[]
[]
(assessment/LWR/validation/IFA_519/analysis/IFA_519_Base.i)
# This is a partial input file base with information/features common to the experiments within this assessment
# NOTE: This file will NOT run on its own, it requires a IFA_519_rod_XX.params file to run
# Fuel material properties
initial_fuel_density = 10400.0 # kg/m^3 (Table 1 HWR 668)
initial_fuel_porosity = 0.053 # (-)
fuel_thermal_expansion_coeff = 10e-6 # K^-1
# Cladding material properties
cladding_density = 6551.0 # kg/m^3
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
# Rod geometry
a_lower = 0.00324 # m
fuel_inner_radius = 0 # m
fuel_volume_ratio = 1.0 # (-)
# Neutronics and power
energy_per_fission = 3.2e-11 # J/fission
fast_neutron_flux_factor = 1.6e12 # n/m^2-s per W/m (taken from IFA-431)
# Temperature conditions
initial_temperature = 293 # K
stress_free_temperature = 293 # K
# Contact
contact_penalty = 1e14
roughness_primary = 2.0e-6
roughness_secondary = 1.0e-6
roughness_coef = 3.2
# Relocation
burnup_relocation_stop = 0.031254 # FIMA
relocation_activation1 = 5000 # W/m
# Coolant pressure ramp paramters
pressure_ramp_factor = 3.447e6 # (-) taken from IFA-431
# Plenum parameters
initial_plenum_pressure = 2.59e6 # Pa
startup_time = 0 # s
refab_temperature = 293 # K
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-k
# Numerical options
damper_max_temperature_increment = 50.0 # K
l_max_its = 100
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100 # s
dtmax = 1e6 # s
dtmin = 1 # s
TimeStepper_dt = 1.0e2 # s
TimeStepper_optimal_iterations = 1000
TimeStepper_linear_iteration_ratio = 100
TimeStepper_growth_factor = 5
TimeStepper_max_function_change = 3e20
[GlobalParams]
density = ${initial_fuel_density}
temperature = temperature
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[grain_radius]
block = 3
initial_condition = ${initial_grain_radius}
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ${power_history_data_file}
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[clad_temperature_bc]
type = PiecewiseLinear
data_file = ${clad_temperature_bc_data_file}
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = '3'
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[]
# Define kernels for the various terms in the PDE system (in all cases here, the axisymmetric (RZ) version is specified)
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source_] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = 3
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
# Note: The U235 should be 13% but the model does not currently work above 12%
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = ${a_upper}
a_lower = ${a_lower}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.12 .88 0 0 0 0'
RPF = RPF
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = ${contact_penalty}
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = ${refab_time}
refab_gas_types = He
refab_fractions = 1
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020 # 20
value = 0.0
[]
[temperature]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temperature
function = clad_temperature_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = ${pressure_ramp_factor}
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles # coupling to post processor to get inital fill gas mass
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
refab_time = ${refab_time}
refab_pressure = ${refab_pressure}
refab_temperature = ${refab_temperature}
refab_volume = ${refab_volume}
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[density_clad]
type = StrainAdjustedDensity
block = '1'
strain_free_density = ${cladding_density}
[]
[density_fuel]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
temperature = temperature
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = ${burnup_relocation_stop}
relocation_activation1 = ${relocation_activation1} # initial relocation activation power
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = '1'
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = ${damper_max_temperature_increment}
variable = temperature
[]
[]
[Executioner]
type = Transient
line_search = 'none'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
verbose = true
# controls for linear iterations
l_max_its = ${l_max_its}
l_tol = ${l_tol}
# controls for nonlinear iterations
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
# time control
start_time = ${start_time}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
# direct control of time steps vs time (optional)
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
optimal_iterations = ${TimeStepper_optimal_iterations}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
growth_factor = ${TimeStepper_growth_factor}
timestep_limiting_function = power_history
max_function_change = ${TimeStepper_max_function_change}
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = 3
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = 3
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(assessment/metallic_fuel/WPF/analysis/X425_T418/X425_base.i)
# X425 Steady State Irradiation Base Input File
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# calculations
cladding_ir = '${fparse fuel_radius + cladding_gap_width}'
gas_plenum_height = '${fparse plenum_volume / pi / cladding_ir^2}'
fuel_y_start = '${fparse gap_bottom_length + top_bot_cladding_height}'
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
cladding_block = 'cladding cladding_tri'
# A relatively coarse radial mesh density can be used
# since localized refining is done by TRI3 elements
clad_n_rad = 10
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = ${clad_n_rad}
cladding_sidewall_axial_element_intervals = '0 0.540 0.625 1.0'
cladding_sidewall_axial_element_numbers = '150 1000 150'
use_tri_for_cladding_sidewall = '0 1 0'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 10
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '1000'
tri_element_size_factor = 0.4
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 40
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel ${cladding_block} cap stand'
[]
[disp_x]
block = 'fuel ${cladding_block} cap stand'
[]
[disp_y]
block = 'fuel ${cladding_block} cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1012 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[axial_peaking_factors_extended]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} ${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / (disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[fuel_melt_func]
type = MetallicFuelMeltingFunction
vectorpostprocessor_name = fuel_melting
argument_column = y
value_column = fuel_melting_thickness
use_metadata = true
mesh_generator = 'gen'
transition_width = 2e-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = '${cladding_block}'
eigenstrain_names = 'cladding_thermal_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel ${cladding_block}'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = ' cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = ${cladding_block}
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = '${fparse 1e17 * magic_factor}'
c_tangential = '${fparse 1e19 * magic_factor}'
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 0.151e6
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = ADFunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[func_val1]
[]
[func_val2]
[]
[func_val3]
[]
# OPTD Dummy during this stage
[pen_thick_aux]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[total_id_reduction]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[fast_neutron_fluence_aux]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[]
[AuxKernels]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = 'cladding cladding_tri'
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = 'cladding cladding_tri'
[]
[func_val3]
type = FunctionAux
function = fuel_melt_func
variable = func_val3
block = fuel
[]
[cdf_amount]
block = '${cladding_block}'
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[relx_aux]
type = ParsedAux
variable = relx
block = fuel
use_xyzt = true
expression = 'x / ${fuel_radius}'
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
# OPTD
[assign_pen_thick_aux]
type = ADMaterialRealAux
variable = pen_thick_aux
property = liquid_penetration
block = 'fuel ${cladding_block}'
[]
[assign_total_id_reduction]
type = ParsedAux
variable = total_id_reduction
coupled_variables = 'pen_thick_aux wastage_thickness'
expression = 'pen_thick_aux + wastage_thickness'
block = 'fuel ${cladding_block}'
[]
[]
[Materials]
[fuel_pen]
type = ADMetallicFuelLiquidCladdingPenetration
temperature = temp
mesh_generator = gen
fuel_elongation_pp = max_fuel_elongation
liquid_penetration_model = 'ANL_CONSERVATIVE'
fuel_pu = Pu_0
burnup = burnup
outputs = all
calculate_fuel_melting_thickness = true
block = 'fuel ${cladding_block}'
[]
[longHT9_failure]
type = HT9FailureClad
block = '${cladding_block}'
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = '${cladding_block}'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = ${X_Pu}
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${X_Pu}
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = '${cladding_block}'
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-1
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
fuel_melting_function = fuel_melt_func
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = '${cladding_block}'
factor = 1.0
outputs = all
[]
[cladding_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
block = '${cladding_block}'
outputs = all
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
output_properties = 'youngs_modulus poissons_ratio'
[]
[cladding_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'cladding_creep'
block = '${cladding_block}'
outputs = all
[]
[cladding_creep]
type = ADHT9CreepUpdate
block = '${cladding_block}'
temperature = temp
outputs = all
primary_creep_model = MFH
secondary_creep_model = MFH
irradiation_creep_model = MFH
fast_neutron_flux = fast_neutron_flux
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = '${cladding_block}'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[cladding_thermal]
type = ADHT9Thermal
block = '${cladding_block}'
temperature = temp
outputs = all
[]
[cladding_density]
type = ADStrainAdjustedDensity
block = '${cladding_block}'
strain_free_density = '${clad_density}'
outputs = all
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 20
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
end_time = ${run_time}
dtmin = 1e-100
dtmax = ${max_time_step}
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = time_step_limit
force_step_every_function_point = true
timestep_limiting_function = power_history
dt = 1e2
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = SideAverageValue
boundary = 'gas_height cladding_inside_top'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = '${cladding_block}'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = '${cladding_block}'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel ${cladding_block}'
outputs = none
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
# outputs = 'console'
[]
[max_wst_temp]
type = ElementExtremeValue
value_type = max
variable = temp
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_wst_burnup]
type = ElementExtremeValue
value_type = max
variable = burnup
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[id_pen_total]
type = FuelRodLineValueSampler
variable = total_id_reduction
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[fuel_melting]
type = FuelRodLineValueSampler
variable = fuel_melting_thickness
material = 'fuel'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
print_linear_residuals = true
color = true
perf_graph = true
sync_times = ${time_spots}
[checkpoint]
type = Checkpoint
time_step_interval = 1
[]
[exodus]
type = Exodus
time_step_interval = 500
sync_times = ${time_spots}
enable = false
[]
[console]
type = Console
show = 'time_step_size temp_fuel_avg temp_fuel_centerline_max temp_cladding_avg temp_cladding_max stress_vonmises_fuel_max stress_hydro_fuel_max stress_hydro_fuel_min contact_pressure_max strain_axial_fuel_avg power_integral burnup_avg fission_rate_avg fg_percent porosity_fuel_avg time_step_limit anisotropic_swelling_factor plenum_ratio volume_fuel volume_plenum max_wastagethickness max_cdf'
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_E/x441_leg_E.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_B/x441_grp_B.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/TRISO/validation/AGR-34/SharedFiles/capsule_driver.i)
kernel_radius = 178.65e-6
buffer_thickness = 109.7e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 33.5e-6
OPyC_thickness = 41.3e-6
buffer_density = 1100
ipyc_density = 1904
opyc_density = 1901
sic_density = 3203
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.19717 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.430 # Initial Oxygen to Uranium atom ratio
C_U = 0.361 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '18 14 12 16 16'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 1200
[]
[conc_Ag]
initial_condition = 0.0
scaling = 1e12 #1e18
[]
[conc_Cs]
initial_condition = 0.0
scaling = 1e12 #1e18
[]
[conc_Sr]
initial_condition = 0.0
scaling = 1e12 #1e18
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Ag_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[Sr_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
data_file='AGR-34_capsule_daily_data/Cap1Temps.csv'
[]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 4.8156e+19
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Ag_dt]
type = TimeDerivative
variable = conc_Ag
extra_vector_tags = 'ref'
[]
[mass_Ag]
type = ArrheniusDiffusion
variable = conc_Ag
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
extra_vector_tags = 'ref'
[]
[mass_source_Ag]
type = SpeciesSourceRate
variable = conc_Ag
property_name = Ag_generation
block = fuel
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
extra_vector_tags = 'ref'
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[mass_source_Cs]
type = SpeciesSourceRate
variable = conc_Cs
property_name = Cs_generation
block = fuel
extra_vector_tags = 'ref'
[]
[mass_Sr_dt]
type = TimeDerivative
variable = conc_Sr
extra_vector_tags = 'ref'
[]
[mass_Sr]
type = ArrheniusDiffusion
variable = conc_Sr
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
extra_vector_tags = 'ref'
[]
[mass_source_Sr]
type = SpeciesSourceRate
variable = conc_Sr
property_name = Sr_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Ag_diff_coef]
type = MaterialRealAux
variable = Ag_diff_coef
property = arrhenius_diffusion_coef_Ag
execute_on = timestep_end
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[Sr_diff_coef]
type = MaterialRealAux
variable = Sr_diff_coef
property = arrhenius_diffusion_coef_Sr
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
extra_vector_tags = 'ref'
[]
[freesurf_conc_Ag]
type = DirichletBC
variable = conc_Ag
boundary = exterior
value = 0.0
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[freesurf_conc_Sr]
type = DirichletBC
variable = conc_Sr
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 0.5519e+18
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 11098.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Ag]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 6.7e-9 # m^2/s
q1 = 165e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[fuel_conc_Sr]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 2.2e-3 # m^2/s
q1 = 488e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
[mass_source_Ag_property]
type = SpeciesSourceMaterial
property_name = Ag_generation
kind = Ag
block = fuel
[]
[mass_source_Cs_property]
type = SpeciesSourceMaterial
property_name = Cs_generation
kind = Cs
block = fuel
[]
[mass_source_Sr_property]
type = SpeciesSourceMaterial
property_name = Sr_generation
kind = Sr
block = fuel
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = ${buffer_density}
[]
[Buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = ${buffer_density}
[]
[buffer_conc_Ag]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[buffer_conc_Cs]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[buffer_conc_Sr]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = StrainAdjustedDensity
block = IPyC
strain_free_density = ${ipyc_density}
[]
[IPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[IPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[IPyC_conc_Sr]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 2.3e-6 # m^2/s
q1 = 197e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = ${sic_density}
[]
[SiC_conc_Ag]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 3.6e-9 # m^2/s
q1 = 215e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[SiC_conc_Cs]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
q1 = 125e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[SiC_conc_Sr]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 1.2e-9 # m^2/s
q1 = 205e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = StrainAdjustedDensity
block = OPyC
strain_free_density = ${opyc_density}
[]
[OPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[OPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[OPyC_conc_Sr]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 2.3e-6 # m^2/s
q1 = 197e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temperature conc_Ag conc_Cs conc_Sr'
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
dt = 86400
end_time = 31890240
[]
[Postprocessors]
[release_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[release_Ag_inc]
type = SideIntegralMassFlux
variable = conc_Ag
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
execute_on = 'initial timestep_end'
[]
[released_Ag]
type = TimeIntegratedPostprocessor # computes time integration of value
value = release_Ag_inc
execute_on = 'initial timestep_end'
[]
[total_Ag]
type = ElementIntegralMaterialProperty
mat_prop = Ag_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Ag_released]
type = FractionalRelease
released = released_Ag
total = total_Ag
[]
[retained_Ag]
type = ElementIntegralVariablePostprocessor
variable = conc_Ag
[]
[release_Cs_inc]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
execute_on = 'initial timestep_end'
[]
[released_Cs]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
execute_on = 'initial timestep_end'
[]
[total_Cs]
type = ElementIntegralMaterialProperty
mat_prop = Cs_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Cs_released]
type = FractionalRelease
released = released_Cs
total = total_Cs
[]
[retained_Cs]
type = ElementIntegralVariablePostprocessor
variable = conc_Cs
[]
[release_Sr_inc]
type = SideIntegralMassFlux
variable = conc_Sr
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Sr
execute_on = 'initial timestep_end'
[]
[released_Sr]
type = TimeIntegratedPostprocessor
value = release_Sr_inc
execute_on = 'initial timestep_end'
[]
[total_Sr]
type = ElementIntegralMaterialProperty
mat_prop = Sr_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Sr_released]
type = FractionalRelease
released = released_Sr
total = total_Sr
[]
[retained_Sr]
type = ElementIntegralVariablePostprocessor
variable = conc_Sr
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
exodus = false
csv = true
[]
(test/tests/fission_rate_heat_source/ad_power_fcn_test.i)
# This test is to verify the implementation of FissionRateHeatSource.
# The rod power, axial power, and axial plutonium profiles are given as functions.
# UPuZrFissionRate calculates the fission rate as a function of rod power vs time,
# axial power profile vs y (or z axis in 2DRZ), and a correction factor dependent
# on the zirconium and plutonium concentration. The zirconium correction is given as
# a function of the current value of zirconium at the qp, and the axial profile of
# plutonium. Zirconium is moved along the pin using a dummy Soret kernel, assuring
# that the total zirconium in the system stays constant.
#
# Power conservation is ensured by comparing ElementIntegralPower and the linear
# power profile.
#
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[Variables]
[temp]
initial_condition = 200
[]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = TimeDerivative
variable = X_Zr
[]
[zr]
type = MatAnisoDiffusion
variable = X_Zr
diffusivity = D_fick
[]
[zr_soret]
type = MatAnisoDiffusion
variable = X_Zr
v = temp
diffusivity = D_soret
[]
[temp_dt]
type = ADTimeDerivative
variable = temp
[]
[diffusion]
type = ADDiffusion
variable = temp
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
fission_rate = fission_rate
energy_per_fission = 1e4
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 40 50 30 0'
[]
[axial_profile]
type = PowerPeakingFunction
fit = EBRII_ROW_3
pellet_length = 0.8
pellet_y_start = 0.1
[]
[pu_profile]
type = ParsedFunction
expression = '(-0.325 * y * y + 0.725 * y) * t / 5'
[]
[power_exact]
type = ParsedFunction
symbol_names = 'power_profile length'
symbol_values = 'power_profile 0.8'
expression = 'power_profile * length'
[]
[]
[Materials]
[D_fick]
type = ConstantAnisotropicMobility
tensor = '1e2 .0 .0
.0 1e2 .0
.0 .0 .0'
M_name = D_fick
[]
[D_soret]
type = ConstantAnisotropicMobility
tensor = '1e-2 .0 .0
.0 .0 .0
.0 .0 .0'
M_name = D_soret
[]
[fission_rate]
type = ADUPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = 0.2
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = 100
coeffs = '0.9 -1.2'
pellet_radius = 0.01
outputs = all
output_properties = fission_rate
[]
[]
[BCs]
[right]
type = DirichletBC
variable = temp
value = 200
boundary = right
[]
[]
[Preconditioning]
[full]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-10
end_time = 5
[]
[Postprocessors]
[integral_fission_rate]
type = ADElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ADElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[integral_power_exact]
type = FunctionValuePostprocessor
function = power_exact
[]
[Zr_top]
type = SideAverageValue
variable = X_Zr
boundary = top
[]
[Zr_bottom]
type = SideAverageValue
variable = X_Zr
boundary = bottom
[]
[Zr_max]
type = ElementExtremeValue
variable = X_Zr
[]
[Zr_min]
type = ElementExtremeValue
variable = X_Zr
value_type = min
[]
[]
[Outputs]
exodus = true
[]
(test/tests/ifba_he_production/doc/fill_gas_helium.i)
#
# 2-D RZ One Pellet Test - Using Helium as fill gas
#
# This test is of a single pellet with cladding and a specified initial
# pressure of He fill gas.
#
# This model results in a lower limit for the interior_temp due to the type of
# fill gas used.
#
[GlobalParams]
density = 10431.0 #95% TD (TD = 10980)
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 4
nx_p = 6
nx_c = 3
ny_cu = 3
ny_c = 4
ny_cl = 3
clad_thickness = 5.6e-4
pellet_outer_radius = 0.0041
pellet_height = 0.01
pellet_quantity = 1
clad_bot_gap_height = 1e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_gap_width = 8e-5
plenum_fuel_ratio = 0.150
elem_type = QUAD8
[]
displacements = 'disp_x disp_y'
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[fission_rate]
block = '3'
[]
[burnup]
block = '3'
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = '3'
initial_condition = 5e-6 # must be the same as the initial value in Sifgr
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = '3'
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[pid]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
# CoolantChannel requires this to have units while axial_peaking_factors must be normalized.
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 20e3 # 20 kW/m peak power.
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '0 10000'
y = '0 1'
[]
[q] # this is for fuel_relocation
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[]
[SolidMechanics]
[solid]
temperature = temp
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = '3'
#convert W/m from power profile to fission/m**3-s
#calculated as 1/(energy_per_fission*area)
#using energy_per_fission = 3.2e-11, consistent with 200 MeV/fission
value = 5.3548e+14
fission_rate_function = q
[]
[burnup]
type = BurnupAux
variable = burnup
block = '3'
fission_rate = fission_rate
molecular_weight = 0.270
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
# If you divide flux/power, you get this constant factor
factor = 2.34e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '3'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gas_swell]
type = MaterialRealAux
block = '3'
variable = gas_swell
property = deltav_v0_bd
execute_on = timestep_end
[]
[pid]
type = ProcessorIDAux
variable = pid
[]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e+14 #1e7
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
gas_released = fis_gas_released
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1003
value = 0.0
[]
# pin entire clad bottom in y
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
# pin fuel bottom in y
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
# pin fuel axis in x and z
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = 1005
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 0.50e6
startup_time = 0.0
material_input = fis_gas_released
output_initial_moles = initial_moles
R = 8.3143
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
displacements = 'disp_x disp_y'
extra_vector_tags = 'ref'
execute_on = 'initial linear'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # PA
inlet_massflux = 3880 # kg/m^2-sec
rod_diameter = 0.95e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = '3'
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_swelling]
type = VSwellingUO2
block = '3'
temperature = temp
burnup = burnup
gas_swelling_type = sifgrs
[]
[fuel_solid_mechanics_elastic]
type = Elastic
block = '3'
temperature = temp
youngs_modulus = 2.e11
poissons_ratio = 0.345
thermal_expansion = 10.0e-6
dep_matl_props = deltav_v0_bd
[]
[fission_gas_release]
type = Sifgrs
block = '3'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_solid_mechanics]
type = SolidModel
block = 1
temperature = temp
youngs_modulus = 7.5e10
poissons_ratio = 0.3
thermal_expansion = 5.0e-6
constitutive_model = clad_plasticity
[]
[clad_growth]
type = IrradiationGrowthZr4
block = 1
fast_neutron_fluence = fast_neutron_fluence
growth_direction = 1
[]
[clad_plasticity]
type = IsotropicPlasticity
block = 1
temperature = temp
yield_stress = 550e6
hardening_constant = 2.5e9
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3'
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 25.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x'
off_diag_column = 'disp_x'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
dtmax = 1.0e6
dtmin = 1.0
end_time = 5.3e7 # 1.7 years (~3% burnup)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e3
optimal_iterations = 30
iteration_window = 4
time_t = '0 1e4 1e8'
time_dt = '1e4 1e5 1e6'
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
verbose = true
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
[]
[interior_temp]
type = SideAverageValue
boundary = 9 # cladding interior and pellet exterior
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = '3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = '3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[dt]
type = TimestepSize
[]
[residual]
type = Residual
[]
[nl_its]
type = NumNonlinearIterations
[]
[lin_its]
type = NumLinearIterations
[]
[average_burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = '3'
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01 # change: length of fuel stack in meters (1 pellet height)
[]
[]
[Outputs]
time_step_interval = 1
exodus = false
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[out]
type = CSV
delimiter = ' '
[]
[]
(examples/restart/Quad8.i)
# This is a single pellet version of the BISON example problem.
# Use it to learn about the restart capability.
#
# Here's a step-by-step example of what you should do to use the restart capability:
#
# Run the simulation out to 40 time steps:
#
#
# Tweak inputQuad8.i as needed. For example, extend the end time, introduce a power blip at the end, or...?
# Then, run again using the --recover option and the recover directory that was created in the previous step
#
# ~/projects/trunk/BISON/BISON-opt -i inputQuad8.i --recover inputQuad8_out_cp/0040 (again, you can redirect or not here)
#
#
# Look at the exodus file in a post processing program (like Paraview) and see if it did what you intended.
#
# An example of why you might want to do this is if you have a simulaiton that runs fine out to 40 time steps, but gets into trouble afer that. You could run the simulation out to 40 time steps, then experiment with changes to the input file that may help the simulation converge. It would obviate the need to run the simulation throught the "easy" part over and over again, thus saving you time.
#
# Send questions to the BISON Users mailing list, or [email protected]
#
# As a supplement to this example, also included is a restart.sh script that Jason Hales wrote to test restart.
# The first thing the script does is to run the simulation as you would normally.
# It copies the output file to a 'gold' file.
# Then, it runs the simulation again, but it specifies the numer of checkpoint files and the number of steps (fewer number of steps than specified in the input file).
#
# Using information from this shortented run, the script kicks off another simulation using the --recover option, which
# uses the result at the end of the shortened run as a starting point.
# The script then compares the two exodus files. One from the original (non restarted 'gold' run) and the one from the restart.
#
# That script is included as an example and reference for commands to use when you're using restart.
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = iteration
patch_size = 10
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = single_pellet.e
[]
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_volume_ratio = 0.987775
RPF = RPF
fuel_pin_geometry = pin_geometry
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor] # isotropic elasticity tensor for Zry cladding
type = ZryElasticityTensor
block = clad
[]
[clad_stress] # stress update class to govern the return mapping algorithm for creep
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep] # creep for zircaloy cladding
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-7
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
# Stress Measures
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
#Strain measures
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet_type_1
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet_type_1
[]
[PerformanceMetricOutputs]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = Exodus
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_C/x441_leg_C.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/triso_failure/ad_triso_1d_failure.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
use_automatic_differentiation = true
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_source]
type = ADNeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = ADBurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
use_automatic_differentiation = true
[]
[]
[BCs]
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = ADDirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = ADPressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
# apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[radial_stress]
type = ADRankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[max_principal_stress]
type = ADRankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = ADUO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ADComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = ADPyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = ADUO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_thermal]
type = ADHeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = ADStrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_thermal]
type = ADHeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = ADStrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_thermal]
type = ADHeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = ADStrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = ADGenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[characteristic_strength_PyC]
type = ADGenericConstantMaterial
prop_values = '964000'
prop_names = 'characteristic_strength'
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ADElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ADElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ADElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = ADWeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = ADWeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_debonding]
type = ADTRISODebondingFailureIndicator
boundary = IPyC_outer_boundary
bond_strength = 1e5
stress_name = radial_stress
[]
[strength_OPyC]
type = ADWeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
SiC_failure_debonding = failure_indicator_debonding
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(test/tests/triso_failure/triso_1d_weibull_probability.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
# apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_thermal]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_thermal]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_thermal]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength]
type = GenericConstantMaterial
prop_values = '1000 1000 1000'
prop_names = 'characteristic_strength_SiC characteristic_strength_IPyC characteristic_strength_OPyC'
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[Weibull_failure_probability_OPyC]
type = WeibullFailureProbability
block = OPyC
weibull_modulus = 6
characteristic_strength = characteristic_strength_OPyC
[]
[Weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 6
characteristic_strength = characteristic_strength_IPyC
[]
[Weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength_SiC
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_new_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 25577 25577'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 1.2e+19 1.2e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 17153028'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 21000 21000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.075 0.15 0.225 0.3 0.375 0.45 0.525 0.6'
y = '0 17153028'
z = '295 295 295 295 295 295 295 295 295 499.9 509.1 517.8 525.42 532.71 540.29 547.7 552.3 554.81'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
bubble_gb_limit = 1.0e+11
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 17153028
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_50MW_sub_new_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(examples/TRISO/correlation_function/h_asphericity/triso_asphericity_mortar.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = True
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = mesh
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[temperature]
initial_condition = 481
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
block = 'fuel buffer IPyC SiC OPyC'
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = IPyC_inner_boundary
secondary_boundary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
gap_geometry_type = sphere
sphere_origin = '0 0 0'
min_gap = 1e-7
max_gap = 50e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
block = 'fuel buffer IPyC SiC OPyC'
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
block = 'fuel buffer IPyC SiC OPyC'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementalVariableValue
elementid = 6300
variable = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM071/BFM071.i)
################################################################################
#
# Description: Calvert Cliffs BFM071
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM071_power.csv
# axial peaking factor file BFM071_axial_peaking.csv
# flux boundary condition file BFM071_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31727
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM071_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM071_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 178956096 178956456'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 178956096 178956456'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM071_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 178956456
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/accident_tolerant_fuel/uo2_fecral/uo2_fecral.i)
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
displacements = 'disp_x disp_y'
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = uo2_fecral_smeared.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_inner_wall = 5
clad_outer_wall = 2
clad_top = 3
clad_bottom = 1
pellet_exteriors = 8
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[mass_gain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e4 1e8'
y = '0 2.5e4 2.5e4'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '6.537e-3 1 1'
scale_factor = 15.5e6
[]
[mass_flux_func]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '3800. 3800. 3800.'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet_type_1
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = total_hoop_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[creep_strain_hoop]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
scalar_type = HoopStress
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
block = clad
[]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = scale_thickness
boundary = 2
[]
[mass_gain]
type = MaterialRealAux
variable = mass_gain
property = oxide_mass_gain
boundary = 2
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
normal_smoothing_distance = 0.1
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = mass_flux_func # kg/m^2-sec
rod_diameter = 9.5e-3 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet_type_1
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
burnup_function = burnup
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = 'pin_geometry'
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = FeCrAlThermal
material = C35M
block = clad
temperature = temp
[]
[clad_elasticity_tensor] # isotropic elasticity tensor for Zry cladding
type = FeCrAlElasticityTensor
temperature = temp
fecral_material_type = C35M
block = clad
[]
[clad_stress] # stress update class to govern the return mapping algorithm for creep
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_creep clad_plasticity'
block = clad
[]
[clad_creep]
type = FeCrAlCreepUpdate
block = clad
temperature = temp
fecral_material_type = C35M
fast_neutron_flux = fast_neutron_flux
model_irradiation_creep = true
model_thermal_creep = true
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = FeCrAlThermalExpansionEigenstrain
block = clad
temperature = temp
fecral_material_type = C35M
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = FeCrAlVolumetricSwellingEigenstrain
block = clad
temperature = temp
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_volumetric_strain
[]
[clad_plasticity]
type = FeCrAlPlasticityUpdate
block = clad
hardening_constant = 2.5e9
temperature = temp
yield_stress = 500.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7250.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[failure_criterion]
type = FeCrAlCladdingFailure
boundary = '2 5'
hoop_stress = hoop_stress
failure_criterion = UTS
temperature = temp
[]
[oxidation]
type = FeCrAlOxidation
reactor_type = PWR
boundary = 2
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200.0
min_value = 293.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1e8
dtmax = 1e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 5e5
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2.0
timestep_limiting_postprocessor = material_timestep
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[alhr_input]
type = FunctionValuePostprocessor
function = power_history
[]
[average_burnup]
type = ElementAverageValue
block = pellet_type_1
variable = burnup
[]
[oxide_thickness]
type = ElementExtremeValue
block = clad
variable = oxide_thickness
[]
[mass_gain]
type = ElementExtremeValue
block = clad
variable = mass_gain
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
csv = true
print_linear_residuals = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
(examples/Burnup_profile_displaced_mesh/RadialProfileSampler.i)
initial_fuel_density = 10233
[GlobalParams]
density = ${initial_fuel_density} #93.2% of TD (TD assumed to be 10980)
initial_porosity = 0.068
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh.e
[]
[]
[Variables]
[temp]
initial_condition = 300
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 10.53e-6 # = 13.5e-6 experimental dia * 1.56 /2
[]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[]
[Functions]
[power_history]
# reads and interpolates an input file containing rod average linear power vs time
type = PiecewiseLinear
data_file = linear_power.csv
format = columns
[]
[axial_peaking_factors]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = power_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
#Ambient for initial build @ 0.101353 MPa, PWR @ 13.73 MPa and PIE @ 0.101353 MPa
x = '-100 0 5064768'
y = '0.007382 1 0.007382'
[]
[flux]
type = PiecewiseLinear
data_file = fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = clad_temp.csv
format = columns
[]
[axial_clad_peaking]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = clad_temp_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
add_variables = true
block = pellet_type_1
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = true
block = 1
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_xx
creep_strain_yy creep_strain_xy'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
# gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1 # fission rate applied to the fuel only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
a_lower = 0.00324
a_upper = 1.02024
fuel_outer_radius = 4.095e-3
fuel_inner_radius = 1.24e-3
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0707 0.9293 0 0 0 0'
num_radial = 80
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = '1'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10 # fuel
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
primary = 5 # clad
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = .955e-6
roughness_primary = 1.5e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 13.73e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.88e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10233
[]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 300
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = .00819
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap = 1.7e-4 #diameteral gap
relocation_activation1 = 5000 # intial relocation activation power set to 5kW/m
burnup_relocation_stop = .04
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
diff_coeff_option = 'TURNBULL_D1_D2'
transient_option = 'MICROCRACKING'
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0
dtmax = 1e6
dtmin = 100
end_time = 5064768
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 6
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 4784
[]
[]
[VectorPostprocessors]
[Concentrations_on_displaced_mesh]
type = RadialProfileSampler
variable = 'disp_x'
sort_by = 'id'
burnup_function = burnup
quantity = 'N235 N236 N238 N239 N240 N241 N242 ntot_hm'
height = 0.46324
execute_on = timestep_end
outputs = 'ConcentrationsDisplaced'
[]
[Concentrations_on_undisplaced_mesh]
type = RadialProfile
quantity = 'N235 N236 N238 N239 N240 N241 N242'
height = 0.46324
burnup_function = burnup
outputs = 'ConcentrationsUnDisplaced'
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
csv = true
exodus = false
color = false
[ConcentrationsDisplaced]
type = CSV
file_base = ConcentrationsDisplaced/'
[]
[ConcentrationsUnDisplaced]
type = CSV
file_base = 'ConcentrationsUnDisplaced/'
[]
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK3/FK03.i)
# This file was created using BIF with the following inputs:
# FK03/FK03.var - md5sum: 63fb064f9380e246b80d3fb7762c0b71
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10020.6066633
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Variables]
[temp]
block = '1 3'
initial_condition = 293
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.085711070864
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.039 0.961 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
initial_moles = initial_moles
gas_released = fission_gas_released
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.3e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10020.6066633
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.085711070864
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 8.40e25
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
incremental = true
block = '1 3'
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 550000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-4
variable = disp_x
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/LWR/benchmark/AREVA_idealized_case/analysis/AREVA_idealized_case.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density} #95% TD (TD = 10980)
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = AREVA_idealized_case_mesh_coarse.e
[]
[]
[Variables]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 7.8e-6
[]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[average_fast_flux]
type = PiecewiseLinear
data_file = average_fast_flux.csv
scale_factor = 1
format = columns
[]
[axial_fast_flux_peaking_factors]
type = PiecewiseBilinear
data_file = axial_fast_flux_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[fast_flux]
type = CompositeFunction
functions = 'average_fast_flux axial_fast_flux_peaking_factors'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0'
y = '0.0065371 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = 3
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 3.65324
a_lower = 0.00324
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0040425
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '.045 .955 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = 3
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = fast_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.6e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 555
inlet_pressure = 15.5e6
inlet_massflux = 3700
rod_diameter = 9.5e-3
rod_pitch = 1.43e-2 # ASSUMED: NOT SPECIFIED
linear_heat_rate = power_profile
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_thermal]
type = UO2Thermal
block = 3
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.008085
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =8.25e-5
relocation_activation1 = 5000
burnup_relocation_stop = 0.02
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius # coupled grain radius
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = 1
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 100.0
[]
[limitx]
type = MaxIncrement
variable = disp_x
max_increment = 1e-5
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
end_time = 185056065
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 20
linear_iteration_ratio = 100
timestep_limiting_function = power_profile
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block ='3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
outputs = exodus
[]
[int_flux_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[int_flux_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fissionrate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = '3'
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = 1
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_total_power'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(examples/TRISO/accident_simulation/triso2D_accident_ad.i)
# This example is 2D-RZ analysis of a TRISO fuel particle. Fully coupled
# heat transfer and solid mechanics, plus diffusion of the fission product
# species cesium (Cs) are simulated. The mesh includes contact surfaces
# between the buffer and IPyC layers to facilitate a gap opening between
# these layers. These surfaces are initially in mechanical contact but
# are assumed to have no strength in tension. A coarse mesh is used to
# provide a short run time.
# The calculation simulates fuel-life in three steps. The first step is an
# irradiation period, where constant power and a fixed particle surface
# temperature (1500 K) are assumed over a lifetime of 76 Ms (2.4 yrs).
# For the second step, fuel removal and storage are simulated by setting
# the reactor power and Cs source terms to zero, reducing the particle
# surface temperature to ambient (300 K), and then holding it
# for 100 days. A third and final step simulates accident
# behavior by increasing the particle surface temperature from ambient
# to 2073 K over 2 hrs, and then holding it at this elevated temperature
# for an additional 200 hrs. At the particle outer boundary, the Cs
# concentration is held at zero and the pressure at ambient during the
# entire simulation. The particle is assumed to be stress-free at an
# initial temperature of 1500 K.
#
# Details about this simulation are given in Section 4 of the following
# article: J. D. Hales, R. L. Williamson, S. R. Novascone, D. M. Perez,
# B. W. Spencer and G. Pastore, "Multidimensional multiphysics simulation
# of TRISO particle fuel", Journal of Nuclear Materials, Vol. 443, p. 531,
# 2013.
# This is a version using a thermomechanical mortar approach. It uses
# Automatic Differentiation classes and models gap mass transfer using
# flux preserving and sorption mortar constraints. Sorption constants are
# given in Table 1 of the following article: A. Londono-Hurtado, I.
# Szlufarska, R. Bratton and D. Morgan, "A review of fission product
# sorption in carbon structures", Journal of Nuclear Materials, Vol. 426,
# p. 254, 2012.
initial_fuel_density = 11000.0
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
flux_conversion_factor = 0.85
use_automatic_differentiation = true
[]
[Mesh]
coord_type = RZ
[file]
type = FileMeshGenerator
file = triso2Dmed.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp conc'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 1500.0
[]
[conc]
initial_condition = 0.0
[]
[conc_lm]
block = pellet_clad_mechanical_secondary_subdomain
[]
[conc_dx_lm]
block = pellet_clad_mechanical_secondary_subdomain
[]
[conc_dy_lm]
block = pellet_clad_mechanical_secondary_subdomain
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fluence]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[creep_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_yy]
order = CONSTANT
family = MONOMIAL
[]
[creep_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[integral_flux_error]
type = ParsedFunction
symbol_names = 'buffer_integral_flux IPyC_integral_flux'
symbol_values = 'buffer_integral_flux IPyC_integral_flux'
expression = 'IPyC_integral_flux + buffer_integral_flux'
[]
[partial_pressure_error]
type = ParsedFunction
symbol_names = 'buffer_partial_pressure IPyC_partial_pressure'
symbol_values = 'buffer_partial_pressure IPyC_partial_pressure'
expression = 'IPyC_partial_pressure - buffer_partial_pressure'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx hydrostatic_stress'
strain = FINITE
incremental = true
add_variables = false
[default]
block = 'fuel buffer IPyC OPyC'
eigenstrain_names = 'thermal_strain swelling_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = 'SiC'
eigenstrain_names = 'thermal_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat]
type = ADHeatConduction
variable = temp
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat_source]
type = ADNeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = ADTimeDerivative
variable = conc
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[mass]
type = ADArrheniusDiffusion
variable = conc
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[mass_source]
type = ADBodyForce
variable = conc
function = power_history
value = 1.22e-5 # units of moles/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
block = 'fuel buffer IPyC SiC OPyC'
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = fuel
fission_rate_function = power_history
value = 3.89e19
execute_on = timestep_begin
[]
[fluence]
type = ADMaterialRealAux
property = fast_neutron_fluence
variable = fluence
[]
[burnup]
type = ADBurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
execute_on = timestep_begin
density = ${initial_fuel_density}
[]
[creep_xx]
type = ADRankTwoAux
rank_two_tensor = creep_strain
variable = creep_xx
index_i = 0
index_j = 0
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_yy]
type = ADRankTwoAux
rank_two_tensor = creep_strain
variable = creep_yy
index_i = 1
index_j = 1
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_zz]
type = ADRankTwoAux
rank_two_tensor = creep_strain
variable = creep_zz
index_i = 2
index_j = 2
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[]
[ThermalContactMortar]
[thermal]
secondary_variable = temp
primary_boundary = 15
secondary_boundary = 17
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
gap_geometry_type = CYLINDER
min_gap = 1e-7
max_gap = 50e-6
roughness_coef = 0.0
correct_edge_dropping = true
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
model = frictionless
formulation = mortar
c_normal = 1.0e8
correct_edge_dropping = true
[]
[]
[Constraints]
[cesium_gap_value]
type = MassSorptionConstraint
variable = conc_lm
primary_variable = conc
primary_boundary = 15
primary_subdomain = pellet_clad_mechanical_primary_subdomain
secondary_variable = conc
secondary_boundary = 17
secondary_subdomain = pellet_clad_mechanical_secondary_subdomain
partial_pressure_name = partial_pressure
epsilon = 1e-4
correct_edge_dropping = true
[]
[cesium_gap_flux_x]
type = MassFluxConstraint
variable = conc_dx_lm
primary_variable = conc
diffusivity_primary = arrhenius_diffusion_coef
primary_boundary = 15
primary_subdomain = pellet_clad_mechanical_primary_subdomain
secondary_variable = conc
diffusivity_secondary = arrhenius_diffusion_coef
secondary_boundary = 17
secondary_subdomain = pellet_clad_mechanical_secondary_subdomain
component = 0
epsilon = 1e-5
correct_edge_dropping = true
[]
[cesium_gap_flux_y]
type = MassFluxConstraint
variable = conc_dy_lm
primary_variable = conc
diffusivity_primary = arrhenius_diffusion_coef
primary_boundary = 15
primary_subdomain = pellet_clad_mechanical_primary_subdomain
secondary_variable = conc
diffusivity_secondary = arrhenius_diffusion_coef
secondary_boundary = 17
secondary_subdomain = pellet_clad_mechanical_secondary_subdomain
component = 1
epsilon = 1e-5
correct_edge_dropping = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
extra_vector_tags = 'ref'
[]
[no_disp_y]
type = ADDirichletBC
variable = disp_y
boundary = yzero
value = 0.0
extra_vector_tags = 'ref'
[]
# fix temperature on free surface
[freesurf_temp]
type = ADFunctionDirichletBC
variable = temp
boundary = exterior
function = temp_bc
extra_vector_tags = 'ref'
[]
# fix concentration on free surface
[freesurf_conc]
type = ADDirichletBC
variable = conc
boundary = exterior
value = 0.0
extra_vector_tags = 'ref'
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = BufferGapVol
initial_pressure = 0
startup_time = 1.0e4
R = 8.3145
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 5e17
[]
[fission_gas_release] # Sifgrs fission gas release mode
type = ADUO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[fuel_thermal]
type = ADUO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_swelling]
type = ADUO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = fuel
temperature = temp
burnup = burnup
eigenstrain_name = 'swelling_strain'
initial_fuel_density = ${initial_fuel_density}
[]
[fuel_stress]
type = ADComputeFiniteStrainElasticStress
block = 'fuel'
[]
[fuel_elasticity]
type = ADComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.2e11
poissons_ratio = .345
[]
[fuel_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_den]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density} # kg/m^3
[]
[fuel_conc]
type = ADArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[buffer_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = 'swelling_strain'
[]
[buffer_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[buffer_elasticity]
type = ADComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e10
poissons_ratio = .23
[]
[buffer_stress]
type = ADPyCCreep
block = buffer
temperature = temp
[]
[buffer_temp]
type = ADHeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = ADStrainAdjustedDensity
strain_free_density = 1000.0 #kg/m^3
block = buffer
[]
[buffer_conc]
type = ADArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[buffer_partial_pressure]
type = ADSorptionPartialPressure
A = 19.33
B = -47290
D = 1.518
E = 4338
d1 = 3.397
d2 = 6.15e-4
unit_scale = 1e3 # convert from mol to mmol
density = 1000 # convert from mmol/m^3 to mmol/kg, using constant for compatibility with default AD derivative container size
concentration = conc
temperature = temp
block = buffer
outputs = 'all'
output_properties = partial_pressure
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[IPyC_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[IPyC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[IPyC_elasticity]
type = ADComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[IPyC_disp]
type = ADPyCCreep
block = 'IPyC OPyC'
temperature = temp
[]
[IPyC_temp]
type = ADHeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_den]
type = ADStrainAdjustedDensity
block = 'IPyC OPyC'
strain_free_density = 1900.0
[]
[IPyC_conc]
type = ADArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8
q1 = 222.0e+3
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[IPyC_partial_pressure]
type = ADSorptionPartialPressure
A = 19.33
B = -47290
D = 1.518
E = 4338
d1 = 3.397
d2 = 6.15e-4
unit_scale = 1e3 # convert from mol to mmol
density = 1900 # convert from mmol/m^3 to mmol/kg, using constant for compatibility with default AD derivative container size
concentration = conc
temperature = temp
block = IPyC
outputs = 'all'
output_properties = partial_pressure
[]
[SiC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_elasticity]
type = ADComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.4e11
poissons_ratio = .13
[]
[SiC_creep]
type = ADMonolithicSiCCreepUpdate
block = SiC
temperature = temp
k_function = k_function
[]
[SiC_stress]
type = ADComputeMultipleInelasticStress
block = SiC
inelastic_models = 'SiC_creep'
[]
[SiC_temp]
type = ADHeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = ADStrainAdjustedDensity
strain_free_density = 3180.0 # kg/m^3
block = SiC
[]
[SiC_conc]
type = ADArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[OPyC_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[OPyC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[OPyC_elasticity]
type = ADComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[OPyC_conc]
type = ADArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-14'
snesmf_reuse_base = false
line_search = 'none'
nl_rel_tol = 5e-4
nl_abs_tol = 1e-10
nl_max_its = 20
l_max_its = 8
start_time = 0.0
end_time = 85.3682e6
dt = 100
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 10
growth_factor = 1.5
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Predictor]
type = SimplePredictor
scale = 0.5
skip_times_old = '0 76e6 76.001e6 84.641e6 84.6482e6'
[]
[]
[Outputs]
perf_graph = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[csv]
type = CSV
sync_times = '100 6308007 75696087'
sync_only = true
[]
[]
[Postprocessors]
[Cs_release]
type = ADSideDiffusiveFluxIntegral
variable = conc
diffusivity = arrhenius_diffusion_coef
boundary = exterior
execute_on = timestep_end
[]
[dt]
type = TimestepSize
execute_on = timestep_end
[]
[fis_gas_produced] # fission gas produced (moles)
type = ADElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ADElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial timestep_end'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
# ro = 3.125e-4
# ri = 2.125e-4
# vb = 4/3*pi*(ro^3-ri^3) = 8.76e-11
# buffer density = 1000
# PyC density = 1900
# fill ratio = 10/19
# vb*10/19 = 4.6e-11
# Must remove 4.6e-11 m^3 from the volume
addition = -4.6e-11
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[buffer_integral_flux]
type = ADSideDiffusiveFluxIntegral
variable = conc
boundary = 17
diffusivity = arrhenius_diffusion_coef
[]
[IPyC_integral_flux]
type = ADSideDiffusiveFluxIntegral
variable = conc
boundary = 15
diffusivity = arrhenius_diffusion_coef
[]
[buffer_partial_pressure]
type = ADSideAverageMaterialProperty
property = partial_pressure
boundary = 17
[]
[IPyC_partial_pressure]
type = ADSideAverageMaterialProperty
property = partial_pressure
boundary = 15
[]
[integral_flux_error]
type = FunctionValuePostprocessor
function = integral_flux_error
[]
[partial_pressure_error]
type = FunctionValuePostprocessor
function = partial_pressure_error
[]
[integral_Cs_release]
type = TimeIntegratedPostprocessor
value = Cs_release
[]
[Cs_production]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.22e-5 # units of moles/m**3-s
[]
[time_integral_Cs_production]
type = TimeIntegratedPostprocessor
value = Cs_production
[]
[volumeFuel_initial]
type = InternalVolume
boundary = fuel
execute_on = initial
[]
[integral_Cs_production]
type = ParsedPostprocessor
pp_names = 'time_integral_Cs_production volumeFuel_initial'
expression = 'time_integral_Cs_production * volumeFuel_initial'
[]
[Cs_release_fraction]
type = ParsedPostprocessor
pp_names = 'integral_Cs_release integral_Cs_production'
expression = 'integral_Cs_release / integral_Cs_production'
[]
[]
[VectorPostprocessors]
[temperaturevpp]
type = SideValueSampler
boundary = 11
variable = temp
sort_by = x
outputs = 'csv'
use_displaced_mesh = true
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK1/FK01.i)
# This file was created using BIF with the following inputs:
# FK01.var - md5sum: 123016ae8f3283a45bae816a366f93b1
# ../pulse_rev1.tpl - md5sum: 8d6b8b4bce1dd830dea2d8522009e514
initial_fuel_density = 10020.6066633
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.04298
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[gap_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.085711070864
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 0.0473684210526 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseBilinear
data_file = RadialPowerProfile.csv
axis = 0
[]
[radial_burnup_profile]
type = PiecewiseBilinear
data_file = RadialBurnupProfile.csv
axis = 0
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.039 0.961 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
friction_coefficient = 2.5
normal_smoothing_distance = 0.1
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
tangential_tolerance = 1.0e-6
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[coolant_temp]
type = DirichletBC
boundary = '1 2 3'
variable = temp
value = 293
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.3e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10020.6066633
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.085711070864
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 8.40e25
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = 0.01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
block = 1
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 500000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[contactslip]
type = ContactSlipDamper
primary = 5
secondary = 8
min_damping_factor = 0.05
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(test/tests/ifba_he_production/fill_gas_xenon_w_ifba.i)
#
# 2-D RZ One Pellet Test - IFBA using Xenon as fill gas
#
# This test is of a single pellet with cladding and a specified initial
# pressure of Xe fill gas. In addition, an IFBA layer is added which will
# generate He gas to be added to the plenum. The postprocessor interior_temp
# should be the same as the pure Xe test case initially and as the He gas is
# added to the plenum from the IFBA, the interior_temp value should approach
# the He fill gas test case (both in the doc subdirectory).
#
# This model demonstrates that the gas conductance for the plenum is being
# updated for the He gas generated by the IFBA layer.
#
initial_fuel_density = 10431.0 #95% TD (TD = 10980)
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
displacements = 'disp_x disp_y'
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 1
nx_p = 1
nx_c = 1
ny_cu = 1
ny_c = 1
ny_cl = 1
clad_thickness = 5.6e-4
pellet_outer_radius = 0.0041
pellet_height = 0.01
pellet_quantity = 1
clad_bot_gap_height = 1e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_gap_width = 8e-5
plenum_fuel_ratio = 0.150
elem_type = QUAD8
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[fission_rate]
block = '3'
[]
[burnup]
block = '3'
[]
[grain_radius]
block = '3'
initial_condition = 5e-6
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 20e3 # 20 kW/m peak power.
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '0 10000'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
add_variables = true
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
eigenstrain_names = fuel_thermal_strain
[]
[clad]
block = 1
strain = FINITE
incremental = true
add_variables = true
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
eigenstrain_names = clad_thermal_strain
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = '3'
value = 5.3548e+14
fission_rate_function = power_history
[]
[burnup]
type = BurnupAux
variable = burnup
block = '3'
fission_rate = fission_rate
molecular_weight = 0.270
[]
[grain_radius]
type = GrainRadiusAux
block = '3'
variable = grain_radius
temperature = temp
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e+14 #1e7
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
gas_released = 'fis_gas_released he_prod'
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_gas_types = Xe
initial_fractions = 1
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1003
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = 1005
value = 0.0
[]
[Clad_Temp]
type = DirichletBC
variable = temp
boundary = '2'
value = 580.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.50e6
startup_time = 0.0
material_input = 'fis_gas_released he_prod'
output_initial_moles = initial_moles
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = '3'
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 298
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = '3'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
diff_coeff_option = TURNBULL_D1_D2
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[fclad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 1
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 298
eigenstrain_name = clad_thermal_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3'
strain_free_density = ${initial_fuel_density}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
dtmax = 1.0e6
dtmin = 1.0
end_time = 5.3e7 # 1.7 years (~3% burnup)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e3
optimal_iterations = 30
iteration_window = 4
time_t = '0 1e4 1e8'
time_dt = '1e4 1e5 1e6'
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
verbose = true
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 9 # cladding interior and pellet exterior
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = '3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = '3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3'
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
[]
[dt]
type = TimestepSize
[]
[residual]
type = Residual
[]
[nl_its]
type = NumNonlinearIterations
[]
[lin_its]
type = NumLinearIterations
[]
[average_burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = '3'
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01 # change: length of fuel stack in meters (1 pellet height)
[]
[he_prod]
type = IFBAHeProduction
zrb2_load = 1.181e-4
ifba_len = 1.0e-2
b10_enrich = 0.50
zrb2_rel_dens = 0.7
model = burnup
u235_enrich = 0.045
burnup = average_burnup
[]
[]
[Outputs]
time_step_interval = 1
exodus = false
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup burnup he_prod interior_temp plenum_pressure'
file_base = fill_gas_xenon_w_ifba_check
[]
[out]
type = CSV
delimiter = ' '
[]
[]
(examples/2D-RZ_rodlet_10pellets/quad8/Quad8.i)
# This model is a higher order, discrete 10 pellet fuel stack (pellet_type_1).
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ../quad8Medium10_rz.e
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temp]
initial_condition = 293.0 # set initial temp to fill gas temperature, usually 20C
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ../powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ../peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor] # isotropic elasticity tensor for UO2
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress] # elastic stress for UO2 (used instead of creep)
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion] # thermal expansion strain for UO2
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0 #Changed to match the value used in Zry
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation] # relocation strain measure for UO2
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160.0e-6
diameter = 0.0082
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor] # isotropic elasticity tensor for Zry cladding
type = ZryElasticityTensor
block = clad
[]
[clad_stress] # stress update class to govern the return mapping algorithm for creep
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep] # creep for zircaloy cladding
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
# outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
# outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
# Stress Measures
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
#Strain measures
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet_type_1
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
# Contact variables
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 2887 # mesh dependent, at (0.0041, 0.0558887), near bottom of pellet 5
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 2887 # mesh dependent, at (0.0041, 0.0558887), near bottom of pellet 5
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[]
[VectorPostprocessors]
[clad]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_p-15_percent.i)
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube.e
[]
[]
[Variables]
[temp]
initial_condition = 295
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power_-15%.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251280'
y = '600 882.81 882.81 600'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 1.98
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 11057.75
block = 1
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251280
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5 # half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp pore'
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master_sampleH.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 1
xmax = 2.794e-3
xmin = 6.985e-4
nx = 1000
elem_type = EDGE
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24065.94372 24065.94372'
[]
[fuel_surface_temp]
type = PiecewiseLinear
x = '-200 74993.42422 31858942.74'
y = '295 1089 1268'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
initial_porosity = 0.2
rod_ave_lin_pow = power_history
pellet_diameter = 0.005588
execute_on = timestep_begin
porosity = pore
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_outside]
type = FunctionDirichletBC
variable = temp
boundary = right
function = fuel_surface_temp
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = ParsedMaterial
property_name = density
expression = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-6
fixed_point_max_its = 1
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-4
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature]
type = LineValueSampler
variable = temp
start_point = '6.985e-4 0 0.0'
end_point = '2.794e-3 0 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity]
type = LineValueSampler
variable = pore
start_point = '6.985e-4 0 0.0'
end_point = '2.794e-3 0 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
positions = '0 0 0'
input_files = fftf_fo2_L09_sub_1D.i
execute_on = TIMESTEP_END
sub_cycling = false
[]
[]
[Transfers]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
execute_on = SAME_AS_MULTIAPP
[]
[temp_to_sub]
type = MultiAppGeometricInterpolationTransfer
to_multi_app = sub
source_variable = temp
variable = temp
check_multiapp_execute_on = true
execute_on = SAME_AS_MULTIAPP
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE019/UFE019.i)
################################################################################
#
# Description: Calvert Cliffs UFE019
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file UFE019_power.csv
# axial peaking factor file UFE019_axial_peaking.csv
# flux boundary condition file UFE019_fast_flux.csv
#
################################################################################
initial_fuel_density = 10396.59
[GlobalParams]
density = ${initial_fuel_density} #94.75 %TD Assume TD = 10972.65 kg/m3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.29773
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
block = '1 3'
[]
[disp_y]
block = '1 3'
[]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
block = '1 3'
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = UFE019_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = UFE019_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 140582036 140582396'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 140582036 140582396'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = UFE019_fast_flux.csv
format = columns
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0398 .9602 0 0 0 0'
RPF = RPF
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = 5
secondary_boundary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
contact_pressure = mechanical_normal_lm
layer_thickness = layer_thickness_action
thermal_lm_scaling = 1.0e-2
correct_edge_dropping = true
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+14
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
correct_edge_dropping = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap = 190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
petsc_options_value = 'lu superlu_dist NONZERO 1e-15 1e-5'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 140582396
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM070/BFM070.i)
################################################################################
#
# Description: Calvert Cliffs BFM070
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM070_power.csv
# axial peaking factor file BFM070_axial_peaking.csv
# flux boundary condition file BFM070_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.32168
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM070_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM070_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179225682 179226042'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179225682 179226042'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM070_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179226042
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/TRISO/failure_probability_direct_integration/asphericity.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = 'gen'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz '
'max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-8
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
# For testing, we only run 20 time steps
num_steps = 20
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
perf_graph = true
exodus = false
[]
(examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain/2D_discrete_finiteStrain.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ../fine10_rz.e
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temp]
initial_condition = 580.0 # set initial temp to coolant inlet
order = FIRST
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ../powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ../peakingfactors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap = 160.0e-6
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = THIRD
side_order = FIFTH
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial linear'
[]
[ave_fuel_temp]
type = ElementAverageValue
block = pellet_type_1
variable = temp
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[mid_penetration]
type = NodalVariableValue
nodeid = 3781 #!!Mesh dependent!!
variable = penetration
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temp
nodeid = 3781 # !! Mesh dependent
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(tools/inputwizard/tests/2D_discrete_finiteStrain_nuc_mat_action_integrated.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
[GlobalParams]
# Set initial fuel density, other global parameters
density = 10431.0
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
temperature = temperature
grain_radius = grain_radius
order = FIRST #Mesh element dictate this
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = './2D-RZ_rodlet_10pellets/fine10_rz.e'
[]
[]
[AuxVariables]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = './2D-RZ_rodlet_10pellets/powerhistory.csv'
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = './2D-RZ_rodlet_10pellets/peakingfactors.csv'
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[]
[AuxKernels]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temperature_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[NuclearMaterials]
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
fission_operation = Normal
physics = 'Mechanics Thermal'
initial_temperature = 580.0
strain = FINITE
[UO2]
[fuel]
block = pellet_type_1
uo2_models = 'Burnup Elastic Relocation Swelling ThermalExpansion'
stress_free_temperature = 580.0
fuel_volume_ratio = 0.987787
burnup_relocation_stop = 0.03
isotopes = 'U235 U238'
isotope_fractions = '0.05 0.95'
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
extra_vector_tags = 'ref'
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
cladding_models = 'Elastic Creep IrradiationGrowth ThermalExpansion'
stress_free_temperature = 295.0
extra_vector_tags = 'ref'
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = THIRD
side_order = FIFTH
[]
[]
[Postprocessors]
[ave_temperature_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temperature]
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temperature]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[mid_penetration]
type = NodalVariableValue
nodeid = 3781 #!!Mesh dependent!!
variable = penetration
[]
[central_fuel_temperature]
type = NodalVariableValue
variable = temperature
nodeid = 3781 # !! Mesh dependent
[]
[max_fuel_temperature]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/metallic_fuel/FBTA/analysis/steady_state/common_inputs/test_base.i)
# IFR Steady State Irradiation Base Input File
# Inspired by X441 Assessment Case
fipd_submodule_dir = '../../../../../../../fipd-bison-integration-data/'
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# calculations
cladding_ir = '${fparse fuel_radius + cladding_gap_width}'
gas_plenum_height = '${fparse plenum_volume / pi / cladding_ir^2}'
fuel_y_start = '${fparse gap_bottom_length + top_bot_cladding_height}'
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
cladding_block = 'cladding'
clad_n_rad = 10
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = ${clad_n_rad}
cladding_sidewall_axial_element_numbers = '2 150 150'
# use_tri_for_cladding_sidewall = '0 1 0'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '250'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 40
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel ${cladding_block} cap stand'
[]
[disp_x]
block = 'fuel ${cladding_block} cap stand'
[]
[disp_y]
block = 'fuel ${cladding_block} cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / flux_history_ ${pin_id} .csv'}
[]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1102 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / power_history_ ${pin_id} .csv'}
[]
[axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[axial_peaking_factors_extended]
type = FIPDAxialProfileFunction
data_file = ${raw ' ${fipd_submodule_dir} / ${exp_id} / ${pin_id} / peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} ${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / (disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[fuel_melt_func]
type = MetallicFuelMeltingFunction
vectorpostprocessor_name = fuel_melting
argument_column = y
value_column = fuel_melting_thickness
use_metadata = true
mesh_generator = 'gen'
transition_width = 2e-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel ${cladding_block}'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = ${cladding_block}
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = '${fparse 1e17 * magic_factor}'
c_tangential = '${fparse 1e19 * magic_factor}'
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 0.151e6
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = ADFunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[func_val1]
[]
[func_val2]
[]
[func_val3]
[]
# OPTD Dummy during this stage
[pen_thick_aux]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[total_id_reduction]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[fast_neutron_fluence_aux]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[]
[AuxKernels]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = ${cladding_block}
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = ${cladding_block}
[]
[func_val3]
type = FunctionAux
function = fuel_melt_func
variable = func_val3
block = fuel
[]
[cdf_amount]
block = '${cladding_block}'
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[relx_aux]
type = ParsedAux
variable = relx
block = fuel
use_xyzt = true
expression = 'x / ${fuel_radius}'
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
# OPTD
[assign_pen_thick_aux]
type = ADMaterialRealAux
variable = pen_thick_aux
property = liquid_penetration
block = 'fuel ${cladding_block}'
[]
[assign_total_id_reduction]
type = ParsedAux
variable = total_id_reduction
coupled_variables = 'pen_thick_aux wastage_thickness'
expression = 'pen_thick_aux + wastage_thickness'
block = 'fuel ${cladding_block}'
[]
[]
[Materials]
[fuel_pen]
type = ADMetallicFuelLiquidCladdingPenetration
temperature = temp
mesh_generator = gen
fuel_elongation_pp = max_fuel_elongation
liquid_penetration_model = 'ANL_CONSERVATIVE'
fuel_pu = Pu_0
burnup = burnup
outputs = all
calculate_fuel_melting_thickness = true
block = 'fuel ${cladding_block}'
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
# initial_X_Zr=${initial_X_Zr}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
# initial_X_Zr = ${initial_X_Zr}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = '${cladding_block}'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = ${X_Pu}
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${X_Pu}
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = '${cladding_block}'
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-3
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017 #0.25
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
fuel_melting_function = fuel_melt_func
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = '${cladding_block}'
factor = 1.0
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 20
nl_rel_tol = 1e-7
nl_abs_tol = 1e-8 #1e9
end_time = ${run_time}
dtmin = 1
dtmax = ${max_time_step}
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = time_step_limit
force_step_every_function_point = true
timestep_limiting_function = power_history
dt = 1e2
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = SideAverageValue
boundary = 'gas_height cladding_inside_top'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = '${cladding_block}'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = '${cladding_block}'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel ${cladding_block}'
outputs = none
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
# outputs = 'console'
[]
[max_wst_temp]
type = ElementExtremeValue
value_type = max
variable = temp
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_wst_burnup]
type = ElementExtremeValue
value_type = max
variable = burnup
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[id_pen_total]
type = FuelRodLineValueSampler
variable = total_id_reduction
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[fuel_melting]
type = FuelRodLineValueSampler
variable = fuel_melting_thickness
material = 'fuel'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
# print_linear_residuals = true
# color = true
# perf_graph = true
# sync_times = ${time_spots}
[checkpoint]
type = Checkpoint
time_step_interval = 1
enable = false
[]
[exodus]
type = Exodus
sync_only = true
sync_times = ${time_spots}
enable = false
additional_execute_on = 'FAILED'
[]
[exodus_final]
type = Exodus
execute_on = 'FINAL'
[]
[console]
type = Console
show = 'time_step_size temp_fuel_avg temp_fuel_centerline_max temp_cladding_avg temp_cladding_max stress_vonmises_fuel_max stress_hydro_fuel_max stress_hydro_fuel_min contact_pressure_max strain_axial_fuel_avg power_integral burnup_avg fission_rate_avg fg_percent porosity_fuel_avg time_step_limit anisotropic_swelling_factor plenum_ratio volume_fuel volume_plenum max_wastagethickness max_cdf'
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/NuclearMaterialActions/LWR/Normal/2D_discrete_finiteStrain_action/2D_discrete_finiteStrain_action.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
[GlobalParams]
# Set initial fuel density, other global parameters
density = 10431.0
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
temperature = temperature
grain_radius = grain_radius
order = FIRST #Mesh element dictate this
family = LAGRANGE
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = '../../../../2D-RZ_rodlet_10pellets/fine10_rz.e'
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = '../../../../2D-RZ_rodlet_10pellets/powerhistory.csv'
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = '../../../../2D-RZ_rodlet_10pellets/peakingfactors.csv'
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temperature_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[NuclearMaterials]
fission_operation = Normal
[UO2]
[fuel]
block = pellet_type_1
uo2_models = 'Elastic Relocation Swelling ThermalExpansion'
stress_free_temperature = 295.0
localized_initial_temperature = 580.0
rod_ave_lin_pow = power_history
burnup_relocation_stop = 0.03
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
cladding_models = 'Elastic Creep ThermalExpansion IrradiationGrowth'
stress_free_temperature = 295.0
localized_initial_temperature = 580.0
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = THIRD
side_order = FIFTH
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temperature_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temperature]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[mid_penetration]
type = NodalVariableValue
nodeid = 3781 #!!Mesh dependent!!
variable = penetration
[]
[central_fuel_temperature]
type = NodalVariableValue
variable = temperature
nodeid = 3781 # !! Mesh dependent
[]
[max_fuel_temperature]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[effective_creep_strain]
type = ElementAverageValue
block = clad
variable = effective_creep_strain
[]
[effective_creep_strain_rate]
type = ElementAverageValue
block = clad
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_9/case_9_1D.i)
#
# This case is taken from Advances in high temperature gas cooled reactor fuel
# technology. Technical Report IAEA-TECDOC-1674, International Atomic Energy
# Agency, 2012.
#
# The correctness of the results computed by this case must be checked against
# results from the IAEA benchmark.
#
initial_fuel_density = 10840.0
[GlobalParams]
density = ${initial_fuel_density} # kg/m^3
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 272e-6
buffer_thickness = 97e-6
IPyC_thickness = 33e-6
SiC_thickness = 34e-6
OPyC_thickness = 39e-6
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1576.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 1.5060805e20 # units of fissions/m**3/s
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[IPyC_OPyC]
block = 'IPyC OPyC'
strain = finite
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[rest]
block = 'fuel buffer SiC'
strain = finite
eigenstrain_names = thermal_strain
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1576.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 2.730961e18 # n/m^2-sec
[]
[fission_gas_release] # Sifgr fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1576.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1576.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1576.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1100 #kg/m^3
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temperature]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1850.0 # kg/m^3
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0 # kg/m^3
block = SiC
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 1e-7
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 7689600
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
# ro = 369e-6
# ri = 272e-6
# vb = 4/3*pi*(ro^3-ri^3) = 1.26e-10
# buffer density = 1100
# PyC density = 1850
# fill ratio = 1100/1850
# vb*1100/1850 = 7.50e-11
# Must remove 7.50e-11 m^3 from the volume
addition = -7.50e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2_1p5d_fr_ffrd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_196_part1_1p5d_fr_ffrd_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 80e-6
plenum_height = 0.0393576
pellet_outer_radius = 3.92e-3
clad_thickness = 0.57e-3
fuel_height = 0.2606424
# nx_c = 2
# nx_p = 11
elem_type = EDGE3
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
# Define auxilary variables
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[tangential_contact_pressure_aux]
block = fuel
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = fuel_axial_pressure
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = clad_axial_pressure
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.24761028
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[terminator]
type = Terminator
expression = 'max_axial_relocation_strain > 0.25'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
rod_ave_lin_pow = power_history
temperature = temperature
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
# CHANGE
gap_thickness_threshold = 0.000050
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
n_startup_steps = 1
end_time = 95033429.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_axial_relocation_strain]
type = ElementExtremeValue
value_type = max
variable = axial_relocation_strain
block = fuel
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
layered = true
fuel_pellet_blocks = 'fuel'
fuel_pin_geometry = fuel_pin_geometry
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_p-15_percent.i)
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube.e
[]
[]
[Variables]
[temp]
initial_condition = 295
[]
[pore]
initial_condition = 0.143
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power-15%.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251280'
y = '600 882 882 600'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 2
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 10964.6
block = 1
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251280
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5# half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp pore'
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-2kW.i)
################################################################################
#
# Description: LOCA MT-4 Test with constant power level of 1.2 kW/m
#
#
# External files:
# axial peaking factor file MT4_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 110'
y = '1.2e3 1.2e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 57 110'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT4_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 110'
y = '0.28 0.28'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0'
RPF = RPF
density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.3e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 311 # K
inlet_pressure = 0.28e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = 10
htc_correlation_type = 1
flooding_time = 57.0
flooding_rate = 0.127 # m/s
initial_temperature = 1140 # K
initial_power = 1.776 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 58.2
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.2
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9144
pellet_outer_radius = 2.794e-3
pellet_inner_radius = 6.985e-4
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 101.6e-6
clad_thickness = 0.5334e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.057
elem_type = QUAD8
nx_c = 4
ny_c = 1000
nx_p = 10
ny_p = 500
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fraction_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 0.854004932 0.854004932'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 2.99513e+19 2.99513e+19'
[]
[axial_power_profile]
type = PiecewiseBilinear
x = '0.0334152 0.09468 0.1559448 0.2162952 0.27756 0.3388248 0.3991752 0.46044 0.5217048 0.5820552 0.64332 0.7045848 0.7649352 0.8262 0.8874648'
y = '0 31858942.74'
z = '5493.43832 7183.727034 29157.48031 34228.34646 37608.92388 40144.35696 41412.07349 42257.21785 41834.64567 39721.78478 37608.92388 33805.77428 28312.33596 4225.721785 2535.433071 5041.338583 6592.519685 26757.87402 31411.41732 34513.77953 36840.55118 38003.93701 38779.52756 38391.73228 36452.75591 34513.77953 31023.62205 25982.28346 3877.952756 2326.771654'
scale_factor = 1
axis = 1
[]
[average_power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24264.05646 24264.05646'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.2
axial_power_profile = axial_power_profile
rod_ave_lin_pow = fraction_history
pellet_diameter = 0.005588
execute_on = timestep_begin
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 0.151e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 0.151e6
inlet_massflux = 1687.43
rod_diameter = 6.858e-3
rod_pitch = 1.7e-2
linear_heat_rate = fraction_history
axial_power_profile = axial_power_profile
coolant_material = sodium
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = 0.2
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 10e-06
bubble_gb_limit = 1.0e+11
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fast_neutron_flux]
type = GenericFunctionMaterial
block = clad
prop_names = fast_neutron_flux
prop_values = fast_neutron_flux_function
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = fraction_history
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.9144 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = fftf_fo2_L09_new_chkfile
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/triso_failure/triso_1d_kernel_migration.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 1573 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Variables]
[temperature]
initial_condition = 1573
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz '
'max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 1573
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmin = 1e-4
dt = 1e4
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress_max]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = stress_yy
[]
[SiC_stress_min]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UO2
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator
kernel_migration_distance = kernel_migration_distance
triso_geometry = particle_geometry
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
SiC_failure_kernel_migration = failure_indicator_kernel_migration
[]
[]
[Outputs]
show = 'kernel_migration_distance failure_indicator_kernel_migration triso_failure '
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
[]
(assessment/TRISO/validation/AGR-34/Compacts/AGR-34_dtf_base.i)
kernel_radius = 178.65e-6
PyC_thickness = 20e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+PyC_thickness}'
initial_fuel_density = 11100.0
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.19717 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.430 # Initial Oxygen to Uranium atom ratio
C_U = 0.361 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2}'
mesh_density = '18 14'
block_names = 'fuel PyC'
bias = '1 1.25'
dual_bias = '0.8 1'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = PyC_outer_boundary
outer_SiC = PyC_outer_boundary
outer_IPyC = PyC_outer_boundary
inner_IPyC = PyC_outer_boundary
outer_buffer = PyC_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 888.5
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
x_index_in_file = 0
y_index_in_file = 1
xy_in_file_only = false
format = columns
[]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 4.2602e+19
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[]
[Kernels]
[heat_dt]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = 'fuel'
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = 'fuel'
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
block = 'fuel PyC'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'fuel PyC'
execute_on = timestep_begin
[]
[]
[BCs]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 4.4440e+17
[]
### UCO fuel properties
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = 'fuel'
temperature = temperature
[]
[UCO_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
### IPyC properties
[PyC_thermal]
type = HeatConductionMaterial
block = PyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_density]
type = ParsedMaterial
block = PyC
property_name = density
expression = 1904.0
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Debug]
show_var_residual_norms = true
#show_var_residual = 'temperature conc_Ag conc_Cs conc_Sr'
show_var_residual = 'temperature'
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-6
nl_abs_tol = 1e-6
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 3.189024e7
dt = 10000
[]
[Postprocessors]
[_dt]
type = TimestepSize
execute_on = timestep_end
[]
### Temperature
[temp_min]
type = NodalExtremeValue
variable = temperature
value_type = 'min'
execute_on = 'initial timestep_end'
[]
[temp_max]
type = NodalExtremeValue
variable = temperature
value_type = 'max'
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
outputs = exodus
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
outputs = exodus
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[console]
type = Console
time_step_interval = 1
#hide = 'release_Ag_inc release_Cs_inc release_Sr_inc'
[]
[exodus]
type = Exodus
file_base = COMPACT
[]
[release]
type = CSV
file_base = release_COMPACT
sort_columns = true
#show = 'release_Ag_inc released_Ag release_Cs_inc released_Cs release_Sr_inc released_Sr total_Ag total_Cs total_Sr x_Ag_released x_Cs_released x_Sr_released'
[]
[final_release]
type = CSV
file_base = final_release_COMPACT
sort_columns = true
#show = 'retained_Ag retained_Cs retained_Sr released_Ag released_Cs released_Sr total_Ag total_Cs total_Sr x_Ag_released x_Cs_released x_Sr_released'
execute_on = 'final'
[]
[]
(examples/TRISO/failure_probability_monte_carlo/triso_1d_constant.i)
initial_fuel_density = 5
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
kernel_mesh_density = ${initial_fuel_density}
buffer_mesh_density = 3
IPyC_mesh_density = 5
SiC_mesh_density = 3
OPyC_mesh_density = 4
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
execute_on = 'INITIAL TIMESTEP_END'
[]
[sic_failure_terminator]
type = Terminator
expression = 'sic_failure_overall > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1403604095.5707'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -1.2447543103484047
[]
[high_fidelity_strength_debonding]
type = ConstantFunction
value = '1705800293.3578'
[]
[stress_correlation_debonding]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -0.14916368684964607
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1371700766.8875'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.5191967987843993
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.391516859626456
[]
[sic_crackedipyc_stress_strength]
type = ParsedFunction
expression = 'a-b'
symbol_names = 'a b'
symbol_values = 'stress_SiC_crackedIPyC actual_strength_SiC_crackedIPyC'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_debonding]
type = TRISODebondingFailureIndicator
boundary = IPyC_outer_boundary
bond_strength = 10e6
stress_name = radial_stress
[]
[failure_indicator_SiC_debonding]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_debonding'
stress_correlation_function = 'stress_correlation_debonding'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
SiC_failure_kernel_migration = failure_indicator_kernel_migration
failure_type = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[stress_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
output_type = 'stress'
[]
[actual_strength_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
output_type = 'strength'
[]
[SiC_crackedIPyC_stressminusstrength]
type = FunctionValuePostprocessor
function = 'sic_crackedipyc_stress_strength'
[]
[debonding]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
IPyC_SiC_debonding = failure_indicator_debonding
SiC_failure_debonding = failure_indicator_SiC_debonding
failure_type = IPYC_SIC_DEBONDING
[]
[fluence_at_failure]
type = TRISOFailureOccurrenceStatus
failure_evaluation = ipyc_cracking
failure_information = max_fluence
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UCO
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator
kernel_migration_distance = kernel_migration_distance
triso_geometry = particle_geometry
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
exodus = false
perf_graph = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(examples/TRISO/pebble/triso_1d_failed.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = SECOND
family = LAGRANGE
initial_enrichment = 0.14029 # [wt-]
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '18 14 12 16 16'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 773.15
[]
[conc_Cs]
initial_condition = 0.0
scaling = 1e18
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Cs_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e3 4.51008e7' #change time (s) for desired EFPD
y = '0 1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 2.927e18
[]
[temp_bc_func]
type = ParsedFunction
value = temp_bc
symbol_names = temp_bc
symbol_values = temp_bc
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Cs_dt]
type = TimeDerivative
variable = conc_Cs
[]
[mass_Cs]
type = ArrheniusDiffusion
variable = conc_Cs
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
extra_vector_tags = 'ref'
[]
[mass_source_Cs]
type = SpeciesSourceRate
variable = conc_Cs
property_name = Cs_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Cs_diff_coef]
type = MaterialRealAux
variable = Cs_diff_coef
property = arrhenius_diffusion_coef_Cs
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc_func
boundary = exterior
[]
[freesurf_conc_Cs]
type = DirichletBC
variable = conc_Cs
boundary = exterior
value = 0.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.109e18
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Cs]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[mass_source_Cs_property]
type = SpeciesSourceMaterial
property_name = Cs_generation
kind = Cs
block = fuel
[]
### Buffer Properties
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[Buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_conc_Cs]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
### IPyC properties
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = StrainAdjustedDensity
block = IPyC
strain_free_density = 1907.0
[]
[IPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
### SiC properties
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_conc_Cs]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 1e-6 # m^2/s
q1 = 0 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
### OPyC properties
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = StrainAdjustedDensity
block = OPyC
strain_free_density = 1907.0
[]
[OPyC_conc_Cs]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-6
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
end_time = 4.831315e7
dt = 500000
num_steps = 10
[]
[Postprocessors]
[temp_bc]
type = Receiver
[]
[release_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[release_Cs_inc]
type = SideIntegralMassFlux
variable = conc_Cs
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Cs
execute_on = 'initial timestep_end'
[]
[released_Cs]
type = TimeIntegratedPostprocessor
value = release_Cs_inc
execute_on = 'initial timestep_end'
[]
[total_Cs]
type = ElementIntegralMaterialProperty
mat_prop = Cs_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Cs_released]
type = FractionalRelease
released = released_Cs
total = total_Cs
[]
[retained_Cs]
type = ElementIntegralVariablePostprocessor
variable = conc_Cs
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[aver_temp_exterior]
type = SideAverageValue
variable = temperature
boundary = exterior
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(assessment/LWR/validation/Super_Ramp/analysis/PK62/PK62_weighted_gap_VCP.i)
# This assessment case requires increasing the default automatic differentiation
# vector (AD size). At the time of writing, the default size is 50. This test
# requires, at least, 56. The minimum size required for a test to run can be
# specified in the 'assesment' file via "min_ad_size". To configure MOOSE
# to increase the AD vector size, one can use the command below in the MOOSE
# folder to expand this size, e.g., to 200:
#
# ./configure --with-derivative-type=sparse --with-ad-indexing-type=global --with-derivative-size=200
# physical constants
R = 8.3143 # J/mol*K -- THIS SHOULD BE EDITED TO USE PHYSICALCONSTANTS' VALUE
# fuel isotope fractions and fission energy
energy_per_fission = 3.28451e-11 # J/fission
isotope_fraction_U235 = 0.02985
isotope_fraction_U238 = 0.97015
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# rod geometry
pellet_quantity = 29 # (-)
pellet_height = 0.010862 # m
pellet_outer_radius = 4.57e-3 # m
clad_gap_width = 75.0e-6 # m
clad_thickness = 0.725e-3 # m
clad_bot_gap_height = 1.0e-3 # m
bottom_clad_height = 15.5e-3 # m
top_clad_height = 15.5e-3 # m
clad_top_gap_height = 32.5e-3 # m
fuel_volume_ratio = 1.0 # (-)
rod_input_power_scale_factor = 0.376004 # m (rod height)
# variable and kernel initial values
initial_temperature = 293.15 # K
gravity_constant = -9.81 # m/s^2
# fuel/cladding contact
c_normal = 1e+05 # (-)
jump_distance_model = 'LANNING'
roughness_primary = 2e-6 # (-)
roughness_secondary = 1e-6 # (-)
roughness_coef = 3.2 # (-)
relocation_activation1 = 5000 # W/m
max_relocation_recovery_fraction = 0.5 # (-)
relocation_scaling_factor = 1 # (-)
# plenum parameters
initial_plenum_pressure = 2.25e6 # Pa
startup_time = 0 # s
# fuel/clad material properties
initial_fuel_density = 10420.0 # kg/m^3
initial_fuel_porosity = 0.049 # (-)
initial_grain_radius = 17.16e-6 # m
fuel_cracking_stress = 1.68e8 # Pa
fuel_shear_retention_factor = 0.1 # (-)
fuel_max_stress_correction = 0 # (-)
stress_free_temperature = 293.15 # K
cladding_density = 6550.0 # kg/m^3
# numerical options
damper_max_temperature_increment = 150.0 # K (was 30 K)
l_max_its = 35
l_tol = 1e-5
nl_max_its = 30
nl_rel_tol = 2e-6
nl_abs_tol = 1e-5
start_time = 0.0 # s
n_startup_steps = 1
dtmax = 1.0e6 # s
dtmin = 1.0 # s
Timestepper_dt = 100 # s
Timestepper_optimal_iterations = 15
Timestepper_iteration_window = 3
# irradiation history
end_time = 76630068.0 # s
# data files
power_history_data_file = 'alhr_history.csv'
axial_power_factors_data_file = 'axial_lhr_factors.csv'
clad_out_temp_data_file = 'temp_outer_clad_history.csv'
axial_temp_factors_data_file = 'axial_temp_factors.csv'
coolant_pressure_data_file = 'pressure_coolant.csv'
fast_neutron_flux_data_file = 'fast_neutron_flux.csv'
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = true
initial_porosity = ${initial_fuel_porosity}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 80
patch_update_strategy = iteration
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = ${pellet_quantity}
pellet_height = ${pellet_height}
pellet_outer_radius = ${pellet_outer_radius}
pellet_mesh_density = customize
nx_p = 11
ny_p = 168
clad_mesh_density = customize
nx_c = 4
ny_c = 84
clad_gap_width = ${clad_gap_width}
clad_thickness = ${clad_thickness}
clad_bot_gap_height = ${clad_bot_gap_height}
bottom_clad_height = ${bottom_clad_height}
top_clad_height = ${top_clad_height}
clad_top_gap_height = ${clad_top_gap_height}
ny_cu = 3
ny_cl = 3
elem_type = QUAD4
[]
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
block = '1 3'
[]
[disp_x]
order = FIRST
family = LAGRANGE
block = '1 3'
scaling = 1.0e3
[]
[disp_y]
order = FIRST
family = LAGRANGE
block = '1 3'
scaling = 1.0e3
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
[]
[axial_power_factors]
type = PiecewiseBilinear
data_file = ${axial_power_factors_data_file}
axis = 1
[]
[clad_out_temp]
type = PiecewiseLinear
data_file = ${clad_out_temp_data_file}
format = columns
[]
[axial_temp_factors]
type = PiecewiseBilinear
data_file = ${axial_temp_factors_data_file}
axis = 1
[]
[clad_temp_bc]
type = CompositeFunction
functions = 'clad_out_temp axial_temp_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = ${coolant_pressure_data_file}
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = ${fast_neutron_flux_data_file}
format = columns
[]
[axial_power_constant]
type = ConstantFunction
value = 1
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = ${initial_grain_radius}
[]
[porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
initial_condition = ${initial_fuel_porosity}
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gaseous_porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
temperature = temperature
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
temperature = temperature
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = ${gravity_constant}
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
block = clad
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[porosity]
type = PorosityAuxUO2
block = pellet
variable = porosity
execute_on = linear
[]
[pelletid]
type = PelletIdAux
block = pellet
variable = pellet_id
fuel_pin_geometry = pin_geometry
number_pellets = ${pellet_quantity}
execute_on = initial
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[gaspor]
type = MaterialRealAux
variable = gaseous_porosity
property = gaseous_porosity
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = pellet
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = pellet
execute_on = nonlinear
[]
[]
[Burnup]
[burnup]
block = pellet
fuel_volume_ratio = ${fuel_volume_ratio}
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
num_radial = 80
num_axial = 20
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
fuel_pin_geometry = pin_geometry
[]
[]
[Contact]
[mechanical]
model = frictionless
formulation = mortar
primary = 5
secondary = 10
c_normal = ${c_normal}
[]
[]
[ThermalContactMortar]
[thermal]
secondary_variable = temperature
primary_boundary = 5
secondary_boundary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = ${jump_distance_model}
plenum_pressure = plenum_pressure
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
contact_pressure = mechanical_normal_lm
layer_thickness = layer_thickness_action
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = 5
outer_surfaces = 10
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temperature
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${R}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
density = ${initial_fuel_density}
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
burnup_function = burnup
initial_grain_radius = ${initial_grain_radius}
[]
[fuel_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = ${fuel_cracking_stress}
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = ${fuel_shear_retention_factor}
max_stress_correction = ${fuel_max_stress_correction}
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
relocation_activation1 = ${relocation_activation1}
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
model_relocation_recovery = true
max_relocation_recovery_fraction = ${max_relocation_recovery_fraction}
relocation_scaling_factor = ${relocation_scaling_factor}
volumetric_swelling_increment = vol_swell_increment
layered_average_contact_pressure = layered_average_contact_pressure
outputs = all
output_properties = 'relocation_strain recovered_relocation_strain'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
hydrostatic_stress = hydrostatic_stress
diff_coeff_option = TURNBULL_D1_4D2_D3
transient_option = MICROCRACKING_BURNUP
res_param_option = HETEROGENEOUS_WHITE
ig_bubble_model = NUCLEATION_RESOLUTION
ig_diff_algorithm = polypole2
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${cladding_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
fuel_pin_geometry = pin_geometry
[]
[]
#### This is the part where VCP is set up
[Preconditioning]
[vcp]
type = VCP
full = true
# condense out the normal LM from mechanical contact and the LM from thermal contact
lm_variable = 'mechanical_normal_lm thermal_thermal_lm'
primary_variable = 'disp_x temperature'
# we use LU to solve the system after condensation
# AMG and other solver types have shown convergence for simpler mechanical/thermo-mechanical contact problems but has not luck with this one
preconditioner = 'LU'
is_lm_coupling_diagonal = true
adaptive_condensation = true
[]
[]
[Dampers]
[maxincrement]
type = MaxIncrement
max_increment = ${damper_max_temperature_increment}
variable = temperature
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
# IMPORTANT: we should not specify the pc_type below, otherwise the VCP setting will be overriden
petsc_options_iname = ' -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ' 1e-5 NONZERO 1e-15'
snesmf_reuse_base = false
line_search = 'none'
verbose = true
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
n_startup_steps = ${n_startup_steps}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${Timestepper_dt}
optimal_iterations = ${Timestepper_optimal_iterations}
iteration_window = ${Timestepper_iteration_window}
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[total_rod_integral_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[total_rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${rod_input_power_scale_factor}
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 10
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[contact_dof]
type = ContactDOFSetSize
variable = 'mechanical_normal_lm'
subdomain = 'secondary_lower'
execute_on = 'nonlinear timestep_end'
[]
[nl_its]
type = NumNonlinearIterations
[]
[total_nl_its]
type = CumulativeValuePostprocessor
postprocessor = nl_its
[]
[l_its]
type = NumLinearIterations
[]
[total_l_its]
type = CumulativeValuePostprocessor
postprocessor = l_its
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage'
execute_on = 'FINAL'
[]
[]
[VectorPostprocessors]
[temperature_post]
type = NodalValueSampler
variable = temperature
boundary = '10'
sort_by = y
[]
[contact_post]
type = NodalValueSampler
variable = mechanical_normal_lm
boundary = '10'
sort_by = y
[]
[disp_x]
type = NodalValueSampler
variable = disp_x
boundary = '10'
sort_by = y
[]
[disp_y]
type = NodalValueSampler
variable = disp_y
boundary = '10'
sort_by = y
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[pbz]
type = PelletBrittleZone
block = pellet
pellet_id = pellet_id
temperature = temperature
fuel_pin_geometry = pin_geometry
number_pellets = ${pellet_quantity}
execute_on = 'initial linear'
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = mechanical_normal_lm
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 10
[]
[]
(test/tests/ifba_he_production/ifba_only_template.i)
#
# 2-D RZ One Pellet IFBA Test - IFBA He generation only
#
# This test is of a single pellet with cladding and a specified initial
# pressure of He fill gas and IFBA layer .
# The initial loading of B-10 is converted to He gas and adds to the
# plenum pressure. No fission gas production is included in this model. This
# allows the effect of the IFBA layer to be seen clearly.
#
# The power is ramped up and held constant to heat the fill gas and establish
# an initial "hot" pressure. Since there is no fission gas production or
# release in this model, the pressure at temperature should be able to be
# calculated and compared to the BISON result.
#
# This case builds on the baseline case. The amount of He added due to IFBA
# can be calculated and the BISON result checked.
#
# This input template is used for a set of tests exercising the main input
# options for the IFBA postprocessor.
#
initial_fuel_density = 10431.0 #95% TD (TD = 10980)
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11 # J/fission (205 Mev)
temperature = temp
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 1
nx_p = 1
nx_c = 1
ny_cu = 1
ny_c = 1
ny_cl = 1
clad_thickness = 5.6e-4
pellet_outer_radius = 0.0041
pellet_height = 0.01
pellet_quantity = 1
clad_bot_gap_height = 1e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_gap_width = 8e-5
plenum_fuel_ratio = 0.150
elem_type = QUAD8
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 5
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[fission_rate]
block = '3'
[]
[burnup]
block = '3'
[]
[grain_radius]
block = '3'
initial_condition = 5e-6
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e8'
y = '0 1.0 1.0'
scale_factor = 25e3 # 25 kW/m peak power.
[]
[coolant_pressure_ramp]
type = PiecewiseLinear
x = '0 10000'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
add_variables = true
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain'
[]
[clad]
block = 1
strain = FINITE
incremental = true
add_variables = true
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
eigenstrain_names = 'clad_thermal_strain'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = '3'
value = 5.3548e+14
fission_rate_function = power_history
[]
[burnup]
type = BurnupAux
variable = burnup
block = '3'
fission_rate = fission_rate
molecular_weight = 0.270
[]
[grain_radius]
type = GrainRadiusAux
block = '3'
variable = grain_radius
temperature = temp
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e+14 #1e7
model = frictionless
tangential_tolerance = 5e-4
normal_smoothing_distance = 0.1
normalize_penalty = true
[]
[]
[ThermalContact]
[pellet_clad_thermal]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
jump_distance_model = LANNING
layer_thickness = layer_thickness
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
emissivity_primary = 0.8
emissivity_secondary = 0.8
quadrature = true
normal_smoothing_distance = 0.1
gas_released = null
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 1003
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = 1005
value = 0.0
[]
[Clad_Temp]
type = DirichletBC
variable = temp
boundary = '2'
value = 580.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.50e6
startup_time = 0.0
material_input = he_prod
output_initial_moles = initial_moles
temperature = interior_temp
volume = gas_volume
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = '3'
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 298
eigenstrain_name = 'fuel_thermal_strain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[fclad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 1
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 298
eigenstrain_name = 'clad_thermal_strain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3'
strain_free_density = ${initial_fuel_density}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 25
nl_max_its = 40
nl_rel_tol = 1e-5
nl_abs_tol = 1e-8
dtmax = 1.0e6
dtmin = 1.0
end_time = 5.3e7 # 1.7 years (~3% burnup)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e3
optimal_iterations = 30
iteration_window = 4
time_t = '0 1e4 1e8'
time_dt = '1e4 1e6 1e6'
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = fifth
side_order = seventh
[]
verbose = true
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[interior_temp]
type = SideAverageValue
boundary = 9 # cladding interior and pellet exterior
variable = temp
execute_on = 'initial linear'
[]
[power_history]
type = FunctionValuePostprocessor
function = power_history
[]
[dt]
type = TimestepSize
[]
[residual]
type = Residual
[]
[nl_its]
type = NumNonlinearIterations
[]
[lin_its]
type = NumLinearIterations
[]
[average_burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[burnup]
type = ElementAverageValue
block = '3'
variable = burnup
[]
[average_fissionrate]
type = ElementAverageValue
block = '3'
variable = fission_rate
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.05175 #BWR change: length of fuel stack in meters (5*pellet height)
[]
[he_prod]
type = IFBAHeProduction
[]
[null]
type = FunctionValuePostprocessor
function = 0
[]
[]
[Outputs]
time_step_interval = 1
exodus = false
[console]
type = Console
solve_log = true
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup burnup he_prod interior_temp plenum_pressure'
[]
[out]
type = CSV
delimiter = ' '
[]
[]
(examples/non-cylindrical_fuel/3D/non-cyl_incl_creep.i)
initial_fuel_density = 9720.0
[GlobalParams]
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y disp_z'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = non-cyl_mesh.e
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'cladding displacer'
[]
[fast_neutron_fluence]
block = 'cladding displacer'
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5'
y = '0 29000'
[]
[fission_rate_scale_factor]
type = ParsedFunction
expression = 1407962081891580.0
# 1/cross_sectional_area_of_fuel/energy_per_fission =
# 1407962081891580.0 []
[]
[fission_history]
type = CompositeFunction
functions = 'power_history fission_rate_scale_factor'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[displacer]
block = displacer
add_variables = true
eigenstrain_names = 'zirc_thermal_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[cladding]
block = cladding
add_variables = true
eigenstrain_names = 'zirc_thermal_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = 'fission_rate'
extra_vector_tags = 'ref'
block = fuel
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'cladding displacer'
factor = 3e13
rod_ave_lin_pow = power_history
axial_power_profile = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 'cladding displacer'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[]
[BCs]
[no_z]
type = DirichletBC
boundary = bottom
value = 0.0
variable = disp_z
[]
[no_x]
type = DirichletBC
boundary = 'xzero center'
value = 0.0
variable = disp_x
[]
[no_y]
type = DirichletBC
boundary = 'yzero center'
value = 0.0
variable = disp_y
[]
[Pressure]
[coolantPressure]
boundary = side
factor = 15.5e6
function = pressure_ramp
[]
[]
[]
[Constraints]
[disp_z]
type = EqualValueBoundaryConstraint
variable = disp_z
secondary = top
penalty = 1e5
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = side
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.6599e-2 # m (sqrt(area*4/pi))
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = 1.0
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = 'fission_rate'
prop_values = fission_history
block = fuel
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.72
initial_X_Pu = 0.0
density = ${initial_fuel_density}
block = fuel
[]
[fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = 0.72
X_Pu = 0
spheat_model = savage
thcond_model = lanl
temperature = temp
porosity = porosity
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 9720.0
[]
[zirc_thermal]
type = HeatConductionMaterial
block = 'cladding displacer'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[zirc_density]
type = StrainAdjustedDensity
block = 'cladding displacer'
strain_free_density = 6551.0
[]
[zirc_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = 'cladding displacer'
[]
[zirc_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zirc_zrycreep'
block = 'cladding displacer'
[]
[zirc_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'cladding displacer'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[zirc_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'cladding displacer'
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = zirc_thermal_strain
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.72
X_Pu = 0.0
temperature = temp
block = fuel
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = fuel_creep
block = fuel
[]
[fuel_creep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
[]
[fuel_swelling]
type = UPuZrVolumetricSwellingEigenstrain
temperature = temp
burnup = burnup
fission_rate = fission_rate
eigenstrain_name = fuel_volumetric_strain
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = -snes_ksp_ew
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
start_time = -200
end_time = 8e7
num_steps = 5000
dtmax = 1e6
dtmin = 1.0
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
l_max_its = 50
l_tol = 8e-3
nl_max_its = 30
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 15
iteration_window = 3
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.875 # rod height
execute_on = timestep_end
[]
[max_temp]
type = NodalExtremeValue
variable = temp
execute_on = timestep_end
[]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
max_rows = 15
[]
[chkfile]
type = CSV
show = 'max_temp'
execute_on = final
[]
[]
(test/tests/fuelrodlinevaluesampler/example_problem_smeared_test2.i)
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y'
energy_per_fission = 3.2e-11 # J/fission
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = SmearedTwoPelletOneType2D.e
[]
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
extra_vector_tags = 'ref'
add_variables = true
decomposition_method = EigenSolution
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain
fuel_relocation_eigenstrain fuel_thermal_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[clad]
block = clad
strain = FINITE
incremental = true
extra_vector_tags = 'ref'
add_variables = true
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = 'pin_geometry'
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'initial timestep_end'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
contact_pressure = contact_pressure
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = -200
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
execute_on = 'initial linear'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
initial_porosity = 0.0
temperature = temp
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = pellet_type_1
stress_free_temperature = 295
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[hotpressing]
type = UO2HotPressingCreepUpdate
block = pellet_type_1
burnup_function = burnup
initial_grain_radius = 10.0e-6
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'hotpressing'
block = pellet_type_1
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
fuel_pin_geometry = 'pin_geometry'
relocation_activation1 = 5000 #TM default value
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 1.e20
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_creep_model]
type = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = 10431.0
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 300
[]
[]
[Preconditioning]
[SMP]
type = SMP
coupled_groups = 'disp_x,disp_y'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-pc_type_asm'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-5 #8e-3
nl_max_its = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-8
start_time = -200
num_steps = 2
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
optimal_iterations = 6
iteration_window = 2
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = timestep_end
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = timestep_end
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = timestep_end
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = timestep_end
[]
[gas_volume] # gas volume
type = InternalVolume
boundary = 9
component = 1
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[_dt] # time step
type = TimestepSize
execute_on = timestep_end
[]
[nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
execute_on = timestep_end
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.02372 # rod height
execute_on = 'initial timestep_end'
[]
[]
[VectorPostprocessors]
[fuel_vonmises]
type = FuelRodLineValueSampler
variable = vonmises_stress
material = 'fuel'
fraction = 0.51
num_points = 20
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
outputs = chkfile
[]
[clad_vonmises]
type = FuelRodLineValueSampler
variable = vonmises_stress
material = 'clad'
fraction = 0.51
num_points = 20
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
outputs = chkfile
[]
[]
[Outputs]
exodus = true
color = false
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = 'FINAL'
[]
[]
(examples/2D_plane_strain_fretting_wear/fretting-wear-initial.i)
initial_fuel_density = 10431.0
[GlobalParams]
temperature = temp
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = refined_excitation_better_mesh.e
[]
construct_node_list_from_side_list = true
patch_size = 100 # For contact algorithm
[]
[Variables]
[temp]
initial_condition = 580.0 # set initial temp to ambient
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y '
converge_on = 'disp_x disp_y temp'
material_coverage_check = false
kernel_coverage_check = false
# restart_file_base = planestrain_grid_aux_vars_out_cp/LATEST
[]
[AuxVariables]
[fission_rate]
block = pellet_type_1
[]
[burnup]
block = pellet_type_1
[]
[fast_neutron_flux]
block = 'clad grid'
[]
[fast_neutron_fluence]
block = 'clad grid'
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[worn_depth]
order = FIRST
family = LAGRANGE
block = 'spacer_clad_mechanical_secondary_subdomain'
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[pressure_var] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '0 1e4'
y = '0 1'
[]
[pressure_var_variable] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = ParsedFunction
expression = 'if(t < 1e4, 1, 1 + sin((t-1e4)*pi/10.0) * (t-1e4))'
[]
[]
[Physics/SolidMechanics/Dynamic]
[pellets]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = pellet_type_1
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[clad]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = clad
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[grid]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = grid
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'grid_thermal_eigenstrain grid_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
block = 'pellet_type_1 clad grid'
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
block = 'pellet_type_1 clad'
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[spacer_clad_mechanical]
formulation = mortar
model = coulomb
primary = 101
secondary = 102
c_normal = 1e+16 # 1e+7
c_tangential = 1e+20
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
generate_mortar_mesh = true
wear_depth = worn_depth
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical_real]
formulation = mortar
model = frictionless
primary = 7
secondary = 8
c_normal = 1e+16 #
c_tangential = 1e+16
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
generate_mortar_mesh = true
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = 7
secondary_boundary = 8
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 21
axial_axis = 2
density = ${initial_fuel_density}
a_lower = -1e-3 # mesh dependent!
a_upper = 1e-3 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
RPF = RPF
[]
[]
[AuxKernels]
[worn_depth]
type = MortarArchardsLawAux
variable = worn_depth
primary_boundary = 101
secondary_boundary = 102
primary_subdomain = 'spacer_clad_mechanical_primary_subdomain'
secondary_subdomain = 'spacer_clad_mechanical_secondary_subdomain'
displacements = 'disp_x disp_y'
friction_coefficient = 0.5
energy_wear_coefficient = 0.1e-9
normal_pressure = spacer_clad_mechanical_normal_lm
execute_on = 'TIMESTEP_END'
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[relocation_strain]
type = MaterialRealAux
property = relocation_strain
variable = relocation_strain
block = pellet_type_1
execute_on = timestep_end
[]
[]
[BCs]
# Define boundary conditions
[no_y_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_y
boundary = 15
value = 0.0
[]
[no_x_all] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = 16
value = 0.0
[]
[no_y_all_grid] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = disp_y
boundary = '112'
function = 'if(t < 1.0e4,1.0e-4 * t/1.0e4 - 1.0e-5,0.9e-4)'
[]
[no_x_all_grid] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = '112'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = pressure_var # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[convective_clad_surface] # apply convective boundary to clad outer surface
type = ConvectiveFluxBC
boundary = '2'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 580.0
final = 580.0
duration = 1.0e4 #duration of initial power ramp
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = pellet_type_1
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_solid_mechanics_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
temperature = temp
eigenstrain_name = 'fuel_volumetric_eigenstrain'
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
density = 10431.0
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1'
youngs_modulus = 906e6
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 1.e20
relocation_activation1 = 5000
axial_axis = 2
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 'clad'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_creep_model]
type = ZryCreepHayesHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'clad'
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'clad_irradiation_eigenstrain'
[]
[grid_thermal]
type = HeatConductionMaterial
block = 'grid'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[grid_elasticity_tensor]
type = ZryElasticityTensor
block = 'grid'
[]
[grid_creep_model]
type = ZryCreepHayesHoppeUpdate
block = 'grid'
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[grid_stress]
type = ComputeMultipleInelasticStress
block = 'grid'
tangent_operator = elastic
inelastic_models = 'grid_creep_model'
[]
[grid_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'grid'
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'grid_thermal_eigenstrain'
[]
[grid_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = grid
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'grid_irradiation_eigenstrain'
[]
[fission_gas_release] # Forsberg-Massih fission gas release mode
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = 10.0e-6
#external_pressure = 40e6
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431.0
[]
[grid]
type = StrainAdjustedDensity
block = grid
density = 6560
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-10'
snesmf_reuse_base = true
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 45
nl_rel_tol = 1e-10 # was -7 and nl 25. Tightening tangential contact forces.
nl_abs_tol = 1e-12
[TimeIntegrator]
type = NewmarkBeta
beta = 0.25
gamma = 0.5
[]
start_time = 0.0
end_time = 1.0e5
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
time_t = '1e4 1e5 1e6'
time_dt = '2e2 1e4 1e5'
growth_factor = 1.4
iteration_window = 5.0
optimal_iterations = 35
[]
dtmax = 2e5 # Larger causes instabilities 2e6
dtmin = 1
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[average_interior_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[average_centerline_fuel_temperature] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial timestep_end'
[]
[plenum_volume] # gas volume
type = InternalVolume
boundary = 9
addition = 1.3e-5 #rough guess of plenum volume/unit length of fuel
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_generated] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = linear
[]
[fission_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = linear
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[_dt] # time step
type = TimestepSize
execute_on = timestep_end
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_generated
[]
[]
[VectorPostprocessors]
[contact_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_normal_lm
boundary = 102
[]
[frictional_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_tangential_lm
boundary = 102
[]
[worn_depth]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = worn_depth
boundary = 102
execute_on = TIMESTEP_END
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
max_rows = 25
[]
checkpoint = true
[]
(assessment/LWR/validation/IFA_431/analysis/IFA_431_Base.i)
# This is a partial input file base with information/features common to all the fuel rods within this assessment, including the action file.
# NOTE: This file will not run on its own, it is used to create a complete input file in the rod-specific input files.
# Fuel material properties
initial_fuel_density = 10431 # kg/m^3 - initial fuel density 95% of theoretical (10980 kg/m3)
initial_grain_radius = 3.5e-6 # m
initial_fuel_porosity = 0.05 # (-)
total_densification = .0043 # (-)
# Temperature conditions
initial_temperature = 513.3 # K
cladding_temperature_BC = 513.3 # K
stress_free_temperature = 297 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0'
pressure_ramp_y = '0.029395 1'
pressure_ramp_factor = 3.447e6 # (-)
# Plenum parameters
initial_plenum_pressure = 1.0135e5 # Pa
startup_time = 0 # s
# Physical constants
ideal_gas_constant = 8.3143 # J/K-mol
# Neutronics and power
energy_per_fission = 3.2e-11 # J/fission
fast_neutron_flux_factor = 1.6e12 # n/m^2-s per W/m
# Contact
contact_penalty = 1e14 # (-)
roughness_primary = 2.16e-6
roughness_secondary = 6.35e-7
kennard_coefficient = 0.2173
# Relocation
burnup_relocation_stop = 0.00821 # FIMA
# numerical options
damper_max_temperature_increment = 50.0 # K
l_max_its = 80
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
n_startup_steps = 1
start_time = 0 # s
end_time = 50400 # s
Timestepper_dt = 900 # s
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[AuxVariables]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${bol_power_data_file}
scale_factor = 1
format = columns
[]
[axial_peaking_factor]
type = PiecewiseBilinear
data_file = ${bol_axial_data_file}
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factor'
[]
[]
[AuxKernels]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = clad
variable = creep_strain_mag
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = ${contact_penalty}
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
kennard_coefficient = ${kennard_coefficient}
gap_conductance_model = TOPTAN
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = TOPTAN
meyer_hardness_model = MATPRO
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = DirichletBC
boundary = '1 2 3'
variable = temperature
value = ${cladding_temperature_BC}
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = ${pressure_ramp_factor}
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = ${damper_max_temperature_increment}
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
# Time steps set up to match halden data
n_startup_steps = ${n_startup_steps}
start_time = ${start_time}
end_time = ${end_time}
[TimeStepper]
type = ConstantDT
dt = ${Timestepper_dt}
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3 4 5'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3 4 5'
outputs = exodus
[]
[average_grain_radius]
type = ElementAverageValue
block = '3 4 5'
variable = grain_radius
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
block = '3 4 5'
burnup_function = burnup
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3 4 5'
outputs = exodus
[]
[power_lower_TC]
type = FunctionValuePostprocessor
function = q
point = '0 0.075265 0'
[]
[power_upper_TC]
type = FunctionValuePostprocessor
function = q
point = '0 0.50389 0'
[]
[upper_TC_temperature] # output temperature at upper TC (mesh dependent!!)
type = NodalVariableValue
variable = temperature
nodeid = ${upper_TC_temperature_nodeid}
[]
[lower_TC_temperature] # output temperature at upper TC (mesh dependent!!)
type = NodalVariableValue
variable = temperature
nodeid = ${lower_TC_temperature_nodeid}
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
rod_component = BOTH
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'fission_gas_released rod_total_power upper_TC_temperature lower_TC_temperature'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
[Debug]
show_var_residual = 'temperature disp_x disp_y'
show_var_residual_norms = true
[]
(test/tests/burnup_action/burnup_with_actions.i)
# This test is designed as a companion test to the burnup_without_actions.i input
# to demonstrate which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
energy_per_fission = 3.20435313e-11 # J/fission (200 MeV)
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = two_separate_blocks.e
[]
[]
[Variables]
[temp]
initial_condition = 300
[]
[]
# [AuxVariables]
# [fission_rate_1]
# block = 1
# []
# [fission_rate_2]
# block = 2
# []
# [burnup_1]
# block = 1
# []
# [burnup_2]
# block = 2
# []
# []
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 100'
y = '0 40000'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.0 0.01 0.0105 0.0205'
y = '0 100'
z = '1 1 2 2 1 1 2 2'
axis = 1
[]
# [burnup1]
# type = BurnupFunction
# rod_ave_lin_pow = power_profile
# axial_power_profile = axial_peaking_factors
# num_radial = 80
# num_axial = 20
# a_upper = 0.01
# a_lower = 0.0
# fuel_inner_radius = 0.0
# fuel_outer_radius = 0.01
# []
# [burnup2]
# type = BurnupFunction
# rod_ave_lin_pow = power_profile
# axial_power_profile = axial_peaking_factors
# num_radial = 80
# num_axial = 20
# a_upper = 0.0205
# a_lower = 0.0105
# fuel_inner_radius = 0.0
# fuel_outer_radius = 0.01
# []
[]
[Burnup]
[burnup1]
block = 1
base_name = action_block1
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.01
a_lower = 0.0
fuel_inner_radius = 0.0
fuel_outer_radius = 0.01
fuel_volume_ratio = 1.0
[]
[burnup2]
block = 2
base_name = action_block2
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.0205
a_lower = 0.0105
fuel_inner_radius = 0.0
fuel_outer_radius = 0.01
fuel_volume_ratio = 1.0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source_block1]
type = NeutronHeatSource
variable = temp
block = 1
burnup_function = burnup1
[]
[heat_source_block2]
type = NeutronHeatSource
variable = temp
block = 2
burnup_function = burnup2
[]
[]
# [AuxKernels]
# [BurunupGrid1]
# type = BurnupGrid
# block = 1
# execute_on = 'initial linear'
# burnup_function = burnup1
# variable = fission_rate_1
# fission_rate = fission_rate_1
# []
# [BurunupGrid2]
# type = BurnupGrid
# block = 2
# execute_on = 'initial linear'
# burnup_function = burnup2
# variable = fission_rate_2
# fission_rate = fission_rate_2
# []
# [BurunupGrid13]
# type = BurnupGrid
# block = 1
# execute_on = 'initial linear'
# burnup_function = burnup1
# variable = burnup_1
# burnup = burnup_1
# []
# [BurunupGrid4]
# type = BurnupGrid
# block = 2
# execute_on = 'initial linear'
# burnup_function = burnup2
# variable = burnup_2
# burnup = burnup_2
# []
# []
[BCs]
[block1_side_bc]
type = DirichletBC
variable = temp
boundary = 1
value = 300
[]
[block2_side_bc]
type = DirichletBC
variable = temp
boundary = 2
value = 300
[]
[]
[Materials]
[fuel_thermal1]
type = UO2Thermal
block = 1
temperature = temp
burnup_function = burnup1
thermal_conductivity_model = NFIR # NFIR thermal conductivity
initial_porosity = 0.05
[]
[fuel_thermal2]
type = UO2Thermal
block = 2
temperature = temp
burnup_function = burnup2
thermal_conductivity_model = NFIR # NFIR thermal conductivity
initial_porosity = 0.05
[]
[fuel_density]
type = ParsedMaterial
block = '1 2'
property_name = density
expression = ${initial_fuel_density}
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0
dtmax = 1e4
dtmin = 100
end_time = 5e5
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 6
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[ave_temp_block1]
type = ElementAverageValue
block = 1
variable = temp
execute_on = 'initial timestep_end'
[]
[ave_temp_block2]
type = ElementAverageValue
block = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[rod_power_1]
type = ElementIntegralPower
variable = temp
block = 1
burnup_function = burnup1
execute_on = 'timestep_end'
[]
[rod_power_2]
type = ElementIntegralPower
variable = temp
block = 2
burnup_function = burnup2
execute_on = 'timestep_end'
[]
[rod_burnup_1]
type = RodAverageBurnup
burnup_function = burnup1
execute_on = 'timestep_end'
[]
[rod_burnup_2]
type = RodAverageBurnup
burnup_function = burnup2
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
exodus = false
color = false
perf_graph = true
[console]
type = Console
max_rows = 1
[]
[]
(assessment/verification/thermal/2d_3d_thermal_mesh_study/analysis/quad/test_3d.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 'coarse_rz_quad8.e'
[]
[]
[Variables]
[temp]
[]
[]
[AuxVariables]
[fission_rate]
block = 'pellet_type_1'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
energy_per_fission = 3.28451e-11
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 'pellet_type_1'
value = 1.21783766833e19 #fissions/m3s
[]
[]
[BCs]
[side_temp]
type = DirichletBC
variable = temp
boundary = 10
value = 500
[]
[ ]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1'
thermal_conductivity = 5.2
[]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[center_temp]
type = PointValue
point = '0.0 0.003 0'
variable = temp
[]
[avg_temp]
type = ElementAverageValue
block = 'pellet_type_1'
variable = temp
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
block = 'pellet_type_1'
fission_rate = fission_rate
[]
[]
[Outputs]
perf_graph = true
csv = true
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-1kW.i)
################################################################################
#
# Description: LOCA MT-6A Test with constant power level of 1.1 kW/m
#
#
# External files:
# axial peaking factor file MT6A_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 150'
y = '1.1e3 1.1e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 60 150'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT6A_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 150'
y = '1.72 1.72'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0' #TODO: Looks like it's set for 2.93%!
RPF = RPF
density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e11
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.15e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 310 # K
inlet_pressure = 1.72e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = htc_function
htc_correlation_type = 1
flooding_time = 60.0
flooding_rate = 0.059182 # m/s
initial_temperature = 1175 # K
initial_power = 1.628 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 76.48
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/IFA_597_3/analysis/rod_8/IFA_597_rod8_frictionless.i)
initial_fuel_density = 10500.0
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_iterations = 10
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ifa_597r8.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = '3 4'
initial_condition = 6.1074e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = 597-R8_linear_power.csv
format = columns
scale_factor = 1.0526316
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = 597-R8_axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 269029548 269030508 269055648 269056588 280124964 280125417'
y = '0 1 1 0.014475 0.014475 0.457 0.457 0.014475'
[]
[flux]
type = PiecewiseLinear
data_file = flux.csv
format = columns
[]
[clad_average_temp]
type = PiecewiseLinear
data_file = 597-R8_clad_outer_temperature.csv
format = columns
[]
[q]
type = CompositeFunction
functions = 'power_profile axial_peaking_factors'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = '3 4'
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3 4'
fission_rate = fission_rate
fraction = 0.95 # per Glyn Rossiter's suggestion
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = '3 4'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_lower = 0.00324
a_upper = 0.3571
fuel_inner_radius = 0.000
fuel_outer_radius = 0.0052195
fuel_volume_ratio = .994899
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.03347 0.96653 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '3 4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = 1
variable = creep_strain_mag
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_secondary = 1.3e-6
roughness_primary = 1.38e-6
roughness_coef = 3.2
contact_pressure = contact_pressure
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 269055648
refab_gas_types = He
refab_fractions = 1
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_average_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 #changes to 3.2e6 after 59 MWd/kgUO2
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.0e5 #changes to 5e5 after 59 MWd/kgUO2
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 269055648
refab_pressure = 5e5
refab_temperature = 500
refab_volume = 6e-6
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = '3 4'
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10500.0
[]
[fuel_thermal]
type = UO2Thermal
block = '3 4'
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
initial_porosity = 0.04372
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3 4'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = '3 4'
temperature = temp
stress_free_temperature = 297
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = '3 4'
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = '3 4'
burnup_function = burnup
diameter = 0.010439
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =2.11e-4
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 297
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = '3 4'
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.04372
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING
[]
[density_clad]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = '3 4'
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 280125417
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 20
linear_iteration_ratio = 100
dt = 100
force_step_every_function_point = true
timestep_limiting_function = power_profile
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block ='3 4'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3 4'
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = exodus
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = exodus
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3 4'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.3539 # rod height
[]
[average_fission_rate]
type = AverageFissionRate
rod_ave_lin_pow = power_profile
fuel_outer_radius = 0.0052195
fuel_inner_radius = 0.000
outputs = exodus
[]
[power_tc_location]
type = FunctionValuePostprocessor
function = q
point = '0 0.33319 0'
[]
[TC_temp]
type = NodalVariableValue
variable = temp
nodeid = 7476 # Global NodeID 7477
[]
[elongation]
type = NodalVariableValue
variable = disp_y
nodeid = 1887 # Global NodeID 1888
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = '3 4'
[]
[Outputs]
perf_graph = true
csv = 1
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage TC_temp rod_total_power elongation'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/RIA_NSRR_FK/analysis/FK3/FK03_ccm.i)
# This file was created using BIF with the following inputs:
# FK03/FK03.var - md5sum: 63fb064f9380e246b80d3fb7762c0b71
# pulse.tpl - md5sum: 37e5a6b8a0c63ad020906dada3472585
initial_fuel_density = 10020.6066633
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
a_lower = 0.01822
a_upper = 0.12422
temperature = temp
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
elem_type = QUAD8
ny_p = 100
nx_c = 4
ny_c = 100
nx_p = 12
ny_cu = 3
ny_cl = 3
bx_p = 0.75
clad_bot_gap_height = 0.00152
bottom_clad_height = 0.0167
top_clad_height = 0.0167
clad_thickness = 0.00086
pellet_outer_radius = 0.00527
clad_top_gap_height = 0.05265
pellet_height = 0.106
clad_gap_width = 1e-05
pellet_quantity = 1
[]
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Variables]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[BuTC]
[]
[gap]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fission_rate]
initial_condition = 0
[]
[grain_radius]
block = 3
initial_condition = 5.96e-6
[]
[integral_burnup]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[gap_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.085711070864
[]
[SED]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_hmode]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_htype]
order = CONSTANT
family = MONOMIAL
[]
[critical_heat_flux]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
data_file = pulse.csv
format = columns
[]
[flux]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[coolant_pressure_ramp]
type = ConstantFunction
value = 101325
[]
[linear_heat_generation_rate]
type = CompositeFunction
functions = 'linear_heat_rate_profile axial_peaking_factors'
[]
[axial_flux]
type = CompositeFunction
functions = 'flux axial_peaking_factors'
[]
[burnup_thermal_conductivity]
type = ConstantFunction
value = 1 # should be burnup / 950
[]
[radial_power_profile]
type = PiecewiseLinear
data_file = RadialPowerProfile.csv
format = columns
axis = X
[]
[radial_burnup_profile]
type = PiecewiseLinear
data_file = RadialBurnupProfile.csv
format = columns
axis = X
[]
[initial_burnup]
type = CompositeFunction
functions = 'burnup_thermal_conductivity radial_burnup_profile'
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
rpf_input = radial_power_profile
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.039 0.961 0.0 0.0 0.0 0.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress hydrostatic_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress elastic_strain_xx
elastic_strain_yy elastic_strain_zz stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz creep_strain_xx creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
block = 3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[BuTC]
type = FunctionAux
block = 3
variable = BuTC
function = initial_burnup
[]
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[gap]
type = SpatialUserObjectAux
block = 3
variable = gap
execute_on = timestep_end
user_object = avg_gap
[]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = axial_flux
block = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 1
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[fuel_porosity]
type = PorosityAuxUO2
block = 3
variable = porosity
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = timestep_begin
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
block = 1
[]
[coolant_channel_htc]
type = MaterialRealAux
variable = coolant_channel_htc
property = coolant_channel_htc
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
variable = coolant_channel_hmode
property = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
variable = coolant_channel_htype
property = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
variable = critical_heat_flux
property = critical_heat_flux
boundary = 2
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
friction_coefficient = 2.5
normal_smoothing_distance = 0.1
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_coef = 3.2
roughness_primary = 1.5e-6
roughness_secondary = 1.75e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
tangential_tolerance = 1.0e-6
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '10 5'
initial_pressure = 0.3e6
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
initial_temperature = 293
[]
[]
[]
[CoolantChannel]
[clad_outer_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 295
inlet_pressure = 0.1E6 # Pa
inlet_massflux = 100.0 # kg/m^2-sec
rod_diameter = 1.10e-2 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
chf_scalef = 5.0
htc_correlation_type = 9
chf_correlation_type = 5
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10020.6066633
total_densification = 0.006
gas_swelling_model_type = SIFGRS
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = BuTC
initial_porosity = 0.085711070864
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMartinEigenstrain
block = 3
stress_free_temperature = 293
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3'
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='plasticity'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
cold_work_factor = 0.01
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
## TODO: Creep is not active, but is transfered from the SM version.
## Adding creep causes the Peak Hoop strain to best match the FALCON
## results given by R. Montgomery and D. Sunderland. Only retaining
## plasticity matches the results from Wenfeng Liu, John Alvis, Robert Montgomery, and Ken Yueh
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
initial_fast_fluence = 8.40e25
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[plasticity]
type = ZryPlasticityUpdate
block = 1
initial_fast_fluence = 8.40e25
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = .01
plasticity_model_type = MATPRO
output_properties = yield_stress
outputs = all
zircaloy_alloy_type = 4
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = BuTC
transient_option = MICROCRACKING
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[strain_energy_density]
type = StrainEnergyDensity
incremental = true
[]
[]
[UserObjects]
[avg_gap]
type = LayeredAverage
block = 3
variable = penetration
direction = y
num_layers = 48
[]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.00527
number_pellets = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_max_its = 40
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
dtmin = 0.00001
dtmax = 1.0
start_time = 0
end_time = 100
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.0001
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = linear_heat_rate_profile
max_function_change = 550000
force_step_every_function_point = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[contactslip]
type = ContactSlipDamper
primary = 5
secondary = 8
min_damping_factor = 0.05
[]
[]
[Postprocessors]
[max_hoop_strain]
type = ElementExtremeValue
variable = strain_zz
block = 1
[]
[max_SED]
type = ElementExtremeValue
variable = SED
block = 1
[]
[average_grain_radius]
type = ElementAverageValue
block = 3
outputs = 'exodus'
variable = grain_radius
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = 'exodus'
execute_on = 'timestep_begin initial'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = 'exodus'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = 3
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = linear_heat_rate_profile
scale_factor = 0.106
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3'
[]
[RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.0503
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = RAE
[]
[]
[VectorPostprocessors]
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = dummy
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature average_fission_rate fission_gas_released_percentage peak_RAE rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
output_linear = true
[]
[dummy]
type = CSV
enable = false
[]
[]
(assessment/LWR/validation/IFA_432/analysis/IFA_432_Base.i)
# This is a partial input file base with information/features common to all the fuel rods within this assessment.
# NOTE: This file will not run on its own, it is used to create a complete input file in the rod-specific input files.
# Fuel material properties
initial_fuel_density = 10431 # kg/m^3
initial_grain_radius = 3.5e-6 # m
initial_fuel_porosity = 0.05 # (-)
fuel_thermal_expansion_coeff = 10e-6 # K^-1
total_densification = .0043 # (-)
# Cladding material properties
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
cladding_density = 6551.0 # kg/m^3
# Rod geometry
fuel_inner_radius = 0.00 # m
a_lower = 0.01494 # m
# Temperature conditions
initial_temperature = 513.3 # K
cladding_temperature_BC = 513.3 # K
stress_free_temperature = 297 # K
# Neutronics and power
energy_per_fission = 3.2e-11 # J/fission
fast_neutron_flux_factor = 1.6e12 # n/m^2-s per W/m
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0'
pressure_ramp_y = '0.029395 1'
pressure_ramp_factor = 3.447e6 # (-)
# Plenum parameters
initial_plenum_pressure = 1.0135e5 # Pa
startup_time = 0 # s
# Physical constants
ideal_gas_constant = 8.3143 # J/K-mol
# Contact
contact_penalty = 1e14 # (-)
roughness_primary = 2.16e-6
roughness_secondary = 6.35e-7
kennard_coefficient = 0.2173
# Relocation
relocation_activation1 = 5000 # W/m
burnup_relocation_stop = 0.00821 # FIMA
# Postprocessor parameters
power_lower_TC_point = '0 0.50389 0'
# Numerical options
damper_max_temperature_increment = 50.0 # K
l_max_its = 80
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
n_startup_steps = 1
dtmin = 1 # s
Timestepper_dt = 900 # s
# Irradiation history
end_time = 29700 # s
[GlobalParams]
density = ${initial_fuel_density} # initial fuel density 95% of theoretical (10980 kg/m3)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = '3 4 5'
initial_condition = ${initial_grain_radius}
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${bol_power_data_file}
scale_factor = 1
format = columns
[]
[axial_peaking_factor]
type = PiecewiseBilinear
data_file = ${bol_axial_data_file}
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factor'
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = '3 4 5'
strain = FINITE
incremental = true
temperature = temperature
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
incremental = true
temperature = temperature
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = '3 4 5'
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factor
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '3 4 5'
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = clad
variable = creep_strain_mag
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Burnup]
[burnup]
block = '3 4 5'
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factor
num_radial = 81
num_axial = 21
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.1 .9 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = ${contact_penalty}
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
kennard_coefficient = ${kennard_coefficient}
gap_conductance_model = TOPTAN
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = TOPTAN
meyer_hardness_model = MATPRO
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = DirichletBC
boundary = '1 2 3'
variable = temperature
value = ${cladding_temperature_BC}
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = ${pressure_ramp_factor}
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = '3 4 5'
thermal_conductivity_model = NFIR
initial_porosity = ${initial_fuel_porosity}
temperature = temperature
burnup_function = burnup
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3 4 5'
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = '3 4 5'
temperature = temperature
[]
[fuel_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = '3 4 5'
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = '3 4 5'
burnup_function = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factor
relocation_activation1 = ${relocation_activation1}
burnup_relocation_stop = ${burnup_relocation_stop}
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[clad_inelastic_stressUpdate] # thermoelasticity, plasticity, and thermal and irradiation creep for Zr4
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
temperature = temperature
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress] # thermoelasticity, plasticity, and thermal and irradiation creep for Zr4
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain] # thermoelasticity, plasticity, and thermal and irradiation creep for Zr4
type = ZryThermalExpansionMATPROEigenstrain
block = 1
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain] # thermoelasticity, plasticity, and thermal and irradiation creep for Zr4
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = ${cladding_density}
[]
[fuel_density]
type = StrainAdjustedDensity
block = '3 4 5'
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = '3 4 5'
burnup = burnup
temperature = temperature
initial_fuel_density = ${initial_fuel_density}
total_densification = ${total_densification}
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = '3 4 5'
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = ${damper_max_temperature_increment}
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
# Time steps set up to match halden data
# start_time = -100
n_startup_steps = ${n_startup_steps}
end_time = ${end_time}
dtmin = ${dtmin}
[TimeStepper]
type = ConstantDT
dt = ${Timestepper_dt}
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = '3 4 5'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3 4 5'
outputs = exodus
[]
[average_grain_radius]
type = ElementAverageValue
block = '3 4 5'
variable = grain_radius
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
block = '3 4 5'
burnup_function = burnup
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = '3 4 5'
outputs = exodus
[]
[power_lower_TC]
type = FunctionValuePostprocessor
function = q
point = ${power_lower_TC_point}
[]
[power_upper_TC]
type = FunctionValuePostprocessor
function = q
point = ${power_upper_TC_point}
[]
[upper_TC_temperature] # output temperature at upper TC (mesh dependent!!)
type = NodalVariableValue
variable = temperature
nodeid = ${upper_TC_temperature_nodeid}
[]
[lower_TC_temperature] # output temperature at upper TC (mesh dependent!!)
type = NodalVariableValue
variable = temperature
nodeid = ${lower_TC_temperature_nodeid}
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temperature
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
cladding_blocks = 1
rod_component = BOTH
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'fission_gas_released rod_total_power upper_TC_temperature lower_TC_temperature'
output_limiting_function = power_history
sync_only = true
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
[Debug]
show_var_residual = 'temperature disp_x disp_y'
show_var_residual_norms = true
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_fuel_rod.i)
#
# Simple fuel rod example for relocation recovery.
#
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 1
nx_p = 1
nx_c = 1
ny_cu = 1
ny_c = 1
ny_cl = 1
pellet_quantity = 1
pellet_height = 0.01
pellet_outer_radius = 4.1e-3
clad_gap_width = 160.0e-6
clad_thickness = 0.56e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.0e-2
elem_type = QUAD8
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 20
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_xx]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[creep_strain_zz]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 6.327640e+07 6.33628e7 6.34492e7 1.0e08'
y = '0 2.5e4 2.5e4 0 2.5e4 2.5e4'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
RPF = RPF
fuel_volume_ratio = 1
fuel_pin_geometry = pin_geometry
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = pellet
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[gas_swell]
type = MaterialRealAux
block = pellet
variable = gas_swell
property = gas_swelling
execute_on = nonlinear
[]
[volumetric_strain]
type = RankTwoScalarAux
block = pellet
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = nonlinear
[]
[elastic_strain_rr]
type = RankTwoAux
variable = elastic_strain_rr
rank_two_tensor = elastic_strain
index_i = 0
index_j = 0
execute_on = nonlinear
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = nonlinear
[]
[stress_rr]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
execute_on = nonlinear
[]
[elastic_strain_yy]
type = RankTwoAux
variable = elastic_strain_yy
rank_two_tensor = elastic_strain
index_i = 2
index_j = 2
execute_on = nonlinear
[]
[total_strain_yy]
type = RankTwoAux
variable = total_strain_yy
rank_two_tensor = total_strain
index_i = 2
index_j = 2
execute_on = nonlinear
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 2
index_j = 2
execute_on = nonlinear
[]
[elastic_strain_zz]
type = RankTwoAux
variable = elastic_strain_zz
rank_two_tensor = elastic_strain
index_i = 1
index_j = 1
execute_on = nonlinear
[]
[total_strain_zz]
type = RankTwoAux
variable = total_strain_zz
rank_two_tensor = total_strain
index_i = 1
index_j = 1
execute_on = nonlinear
[]
[stress_zz]
type = RankTwoAux
variable = stress_zz
rank_two_tensor = stress
index_i = 1
index_j = 1
execute_on = nonlinear
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = pellet
execute_on = nonlinear
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = nonlinear
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = nonlinear
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = nonlinear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.5e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 1e12
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
model_relocation_recovery = true
max_relocation_recovery_fraction = 0.5
relocation_scaling_factor = 1
volumetric_swelling_increment = vol_swell_increment
layered_average_contact_pressure = layered_average_contact_pressure
outputs = all
output_properties = 'relocation_strain recovered_relocation_strain'
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[]
[]
[UserObjects]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 10
[]
# [avg_gap]
# type = LayeredAverage
# block = pellet
# variable= penetration
# direction = y
# num_layers = 1
# execute_on = timestep_end
# []
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
verbose = false
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1.0e8
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
time_t = '0 1.0e4 6.327640e+07 6.33628e7 6.34492e7 1.0e08'
time_dt = '2e2 1e3 1e3 1e3 1e3 1e3'
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[reloc_strain]
type = ElementAverageValue
variable = relocation_strain
block = pellet
execute_on = timestep_end
[]
[contact_pressure]
type = ElementAverageValue
variable = contact_pressure
block = pellet
execute_on = nonlinear
[]
[average_contact_pressure]
type = ElementAverageValue
variable = layered_average_contact_pressure
block = pellet
execute_on = timestep_end
[]
[clad_crp_zz]
type = SideAverageValue
boundary = 5
variable = creep_strain_zz
execute_on = timestep_end
[]
[clad_crp_xx]
type = SideAverageValue
boundary = 5
variable = creep_strain_xx
execute_on = timestep_end
[]
[clad_creep_increment]
type = SideAverageIncrementTensorComponent
boundary = 5
variable = creep_strain_zz
execute_on = timestep_end
[]
[ave_burnup]
type = ElementAverageValue
variable = burnup
block = pellet
execute_on = timestep_end
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
execute_on = timestep_end
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
execute_on = timestep_end
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
block = pellet
execute_on = nonlinear
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
block = pellet
execute_on = nonlinear
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
block = pellet
execute_on = timestep_end
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
block = pellet
execute_on = nonlinear
[]
[total_strain_yy]
type = ElementAverageValue
variable = total_strain_yy
block = pellet
execute_on = nonlinear
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
block = pellet
execute_on = timestep_end
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
block = pellet
execute_on = nonlinear
[]
[total_strain_zz]
type = ElementAverageValue
variable = total_strain_zz
block = pellet
execute_on = timestep_end
[]
[stress_zz]
type = ElementAverageValue
variable = stress_zz
block = pellet
execute_on = timestep_end
[]
[thermal_strain_rr]
type = DifferencePostprocessor
value1 = total_strain_rr
value2 = elastic_strain_rr
execute_on = timestep_end
[]
[thermal_strain_yy]
type = DifferencePostprocessor
value1 = total_strain_yy
value2 = elastic_strain_yy
execute_on = timestep_end
[]
[thermal_strain_zz]
type = DifferencePostprocessor
value1 = total_strain_zz
value2 = elastic_strain_zz
execute_on = timestep_end
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 10
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[recov_strain]
type = ElementAverageValue
variable = recovered_relocation_strain
block = pellet
execute_on = timestep_end
[]
[]
# [VectorPostprocessors]
# [clad]
# type = NodalValueSampler
# variable = disp_x
# boundary = 2
# sort_by = y
# outputs = 'outfile_clad_radial_displacement'
# []
# [pellet]
# type = NodalValueSampler
# variable = disp_x
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_radial_displacement'
# []
# []
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'reloc_strain recov_strain'
execute_on = 'FINAL'
[]
# [outfile_clad_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
# [outfile_fuel_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
[]
(assessment/LWR/validation/IFA_534/analysis/IFA_534_Base.i)
# This is a partial input file base with information/features common to all the fuel rods within this assessment.
# NOTE: This file will not run on its own, it is used to create a complete input file in the rod-specific input files.
# Fuel material properties
initial_fuel_density = 10431 # kg/m^3 #95% of TD (TD assumed to be 10980)
fuel_thermal_expansion_coeff = 10e-6 # K^-1
# Cladding material properties
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
cladding_density = 6551.0 # kg/m^3
# Fuel geometry
a_lower = 0.00324 # m
a_upper = 0.407 # m
fuel_outer_radius = 0.00456 # m
fuel_inner_radius = 0 # m
fuel_volume_ratio = 1.0 # (-)
fuel_diameter = 0.00912 # m
diametral_gap = 170e-6 # m
rod_power_scale_factor = 0.407 # m (rod height)
# Temperature conditions
initial_temperature = 293 # K
stress_free_temperature = 293 # K
# Neutronics, power, and isotope fractions
energy_per_fission = 3.2e-11 # J/fission
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0 127353600 127357200 127425420 127432620 136365300 136368900'
pressure_ramp_y = '0.006539 1 1 0.006539 0.006539 0.20645 0.20645 0.006539'
pressure_ramp_factor = 15.5e6 # (-)
# Contact
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
# Relocation
relocation_activation1 = 5000 # W/m
burnup_relocation_stop = 0.029 # FIMA
# Plenum parameters
initial_plenum_pressure = 2.15e6 # Pa
startup_time = 0 # s
refab_time = 127360800 # s
refab_pressure = 2.15e6 # Pa
refab_temperature = 293 # K
refab_volume = 5.1e-6 # m^3
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-K
# Numerical options
l_tol = 8e-3
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100 # s
dtmax = 1e6 # s
dtmin = 1 # s
TimeStepper_dt = 100 # s
TimeStepper_iteration_window = 2
TimeStepper_linear_iteration_ratio = 100
TimeStepper_max_function_change = 2e6
# Postprocessor paramters
FCT_nodeid = 1700
# Irradiation history
end_time = 136369000 # s
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
temperature = temperature
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = ${mesh_patch_size} # 20 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = ${initial_temperature} # set initial temperature to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = ${initial_grain_radius} # must be the same as the initial value in Sifgr
[]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ${power_history_data_file}
format = columns
[]
[axial_peaking_factors]
# reads and interpolates an input file containing the axial power profile vs time
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
# reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
#Ambient for initial build @ 0.101353 MPa, Base irradiation in a PWR @ 15.5 MPa, Ambient for refab @ 0.101353 MPa, Ramp testing done in the Halden Rx @ 3.2 MPa, Ambient for PIE @ 0.101353 MPa
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[flux]
type = PiecewiseLinear
data_file = ${fast_flux_data_file}
format = columns
[]
[clad_bc]
type = PiecewiseLinear
data_file = ${clad_temperature_data_file}
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_xx
creep_strain_xy creep_strain_yy creep_strain_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
# gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = pellet_type_1 # fission rate applied to the fuel only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_outer_radius = ${fuel_outer_radius}
fuel_inner_radius = ${fuel_inner_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temperature
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = '1'
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = '1'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = ${contact_penalty}
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10 # fuel
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
primary = 5 # clad
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
variable = temperature
tangential_tolerance = ${tangential_tolerance}
roughness_coef = ${roughness_coef}
roughness_secondary = ${roughness_secondary}
roughness_primary = ${roughness_primary}
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
refab_time = ${refab_time}
refab_gas_types = He
refab_fractions = 1
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = ${pressure_ramp_factor}
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
refab_time = ${refab_time}
refab_pressure = ${refab_pressure}
refab_temperature = ${refab_temperature}
refab_volume = ${refab_volume}
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_elasticity_and_creep]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = ${fuel_diameter}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap = ${diametral_gap}
relocation_activation1 = ${relocation_activation1}
burnup_relocation_stop = ${burnup_relocation_stop}
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'clad_inelastic_stressUpdate'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = ${cladding_density}
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
# l_max_its = 100
l_max_its = ${l_max_its}
l_tol = ${l_tol}
# controls for nonlinear iterations
# nl_max_its = 25
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
# time control
start_time = ${start_time}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
iteration_window = ${TimeStepper_iteration_window}
optimal_iterations = ${TimeStepper_optimal_iterations}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = ${TimeStepper_max_function_change}
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[average_grain_radius]
type = ElementAverageValue
block = '3'
variable = grain_radius
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${rod_power_scale_factor}
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = ${FCT_nodeid}
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temperature
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(test/tests/fission_rate_heat_source/test.i)
# This test is to verify the implementation of FissionRateHeatSource.
# The rod power, axial power, and axial plutonium profiles are given as functions.
# UPuZrFissionRate calculates the fission rate as a function of rod power vs time,
# axial power profile vs y (or z axis in 2DRZ), and a correction factor dependent
# on the zirconium and plutonium concentration. The zirconium correction is given as
# a function of the current value of zirconium at the qp, and the axial profile of
# plutonium. Zirconium is moved along the pin using a dummy Soret kernel, assuring
# that the total zirconium in the system stays constant.
#
# Power conservation is ensured by comparing ElementIntegralPower and the linear
# power profile.
#
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 0.01
[]
[]
[Variables]
[temp]
initial_condition = 200
[]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = TimeDerivative
variable = X_Zr
[]
[zr]
type = MatAnisoDiffusion
variable = X_Zr
diffusivity = D_fick
[]
[zr_soret]
type = MatAnisoDiffusion
variable = X_Zr
v = temp
diffusivity = D_soret
[]
[temp_dt]
type = TimeDerivative
variable = temp
[]
[diffusion]
type = Diffusion
variable = temp
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = fission_rate
fission_rate_args = X_Zr
fission_rate_derivs = fission_rate_dZr
energy_per_fission = 1e5
energy_deposited_in_fuel = 0.1
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 40 50 30 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.5 1'
y = '0.9 1.1 0.9'
[]
[pu_profile]
type = ParsedFunction
expression = '(-0.325 * y * y + 0.725 * y) * t / 5'
[]
[power_exact]
type = ParsedFunction
symbol_names = 'power_profile length'
symbol_values = 'power_profile 1'
expression = 'power_profile * length'
[]
[]
[Materials]
[D_fick]
type = ConstantAnisotropicMobility
tensor = '1e2 .0 .0
.0 1e2 .0
.0 .0 .0'
M_name = D_fick
[]
[D_soret]
type = ConstantAnisotropicMobility
tensor = '1e-2 .0 .0
.0 .0 .0
.0 .0 .0'
M_name = D_soret
[]
[fission_rate]
type = UPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = 0.2
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = 100
coeffs = '0.9 -1.2'
pellet_radius = 0.01
outputs = all
output_properties = fission_rate
[]
[]
[BCs]
[right]
type = DirichletBC
variable = temp
value = 200
boundary = right
[]
[]
[Preconditioning]
[full]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-10
end_time = 5
[]
[Postprocessors]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[integral_power_exact]
type = FunctionValuePostprocessor
function = power_exact
[]
[Zr_top]
type = SideAverageValue
variable = X_Zr
boundary = top
[]
[Zr_bottom]
type = SideAverageValue
variable = X_Zr
boundary = bottom
[]
[Zr_max]
type = ElementExtremeValue
variable = X_Zr
[]
[Zr_min]
type = ElementExtremeValue
variable = X_Zr
value_type = min
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/Tribulation/analysis/BN1X3/BN1X3.i)
initial_fuel_density = 10408
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
initial_porosity = 0.05345
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 1.0019
pellet_outer_radius = 0.00402
pellet_mesh_density = customize
nx_p = 11
ny_p = 243
clad_bot_gap_height = 0.001
clad_gap_width = 100.0e-6
clad_thickness = 0.00063
clad_mesh_density = customize
nx_c = 4
ny_c = 249
bottom_clad_height = 0.00224
top_clad_height = 0.00224
clad_top_gap_height = 0.0883
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = 3
initial_condition = 8.58e-6 # 2D grain radius 11e-6/2*1.56
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseBilinear
data_file = BN1X3_power.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 34462368 34548768 34635168 35176032 35262432 35348832 90228384 90314784'
y = '0.0073804 1 1 0.0073804 1.01974 1.01974 0.0073804 1 1 0.0073804'
[]
[flux]
type = PiecewiseBilinear
data_file = BN1X3_fast_flux.csv
axis = 1
[]
[clad_temp_bc]
type = PiecewiseBilinear
data_file = BN1X3_clad_temp.csv
axis = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[timestep_function]
type = PiecewiseLinear
data_file = BN1X3_time_function.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = 3
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0825 0.9175 0 0 0 0'
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 0.3e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 13.729e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.96133e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.0205
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10393
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 90314784
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 20
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = timestep_function
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[fuel_max_temp]
type = ElementExtremeValue
block = 3
variable = temp
[]
[fuel_average_temp]
type = ElementAverageValue
block = 3
variable = temp
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage fuel_average_temp'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
(examples/TRISO/accident_simulation/triso2D_accident_mortar.i)
# This example is 2D-RZ analysis of a TRISO fuel particle. Fully coupled
# heat transfer and solid mechanics, plus diffusion of the fission product
# species cesium (Cs) are simulated. The mesh includes contact surfaces
# between the buffer and IPyC layers to facilitate a gap opening between
# these layers. These surfaces are initially in mechanical contact but
# are assumed to have no strength in tension. A coarse mesh is used to
# provide a short run time.
# The calculation simulates fuel-life in three steps. The first step is an
# irradiation period, where constant power and a fixed particle surface
# temperature (1500 K) are assumed over a lifetime of 76 Ms (2.4 yrs).
# For the second step, fuel removal and storage are simulated by setting
# the reactor power and Cs source terms to zero, reducing the particle
# surface temperature to ambient (300 K), and then holding it
# for 100 days. A third and final step simulates accident
# behavior by increasing the particle surface temperature from ambient
# to 2073 K over 2 hrs, and then holding it at this elevated temperature
# for an additional 200 hrs. At the particle outer boundary, the Cs
# concentration is held at zero and the pressure at ambient during the
# entire simulation. The particle is assumed to be stress-free at an
# initial temperature of 1500 K.
#
# Details about this simulation are given in Section 4 of the following
# article: J. D. Hales, R. L. Williamson, S. R. Novascone, D. M. Perez,
# B. W. Spencer and G. Pastore, "Multidimensional multiphysics simulation
# of TRISO particle fuel", Journal of Nuclear Materials, Vol. 443, p. 531,
# 2013.
# This is a version using a thermomechanical mortar approach.
initial_fuel_density = 11000.0
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
flux_conversion_factor = 0.85
[]
[Mesh]
coord_type = RZ
[file]
type = FileMeshGenerator
file = triso2Dmed.e
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp conc'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 1500.0
[]
[conc]
initial_condition = 0.0
[]
[]
[AuxVariables]
[fission_rate]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[fluence]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[creep_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_yy]
order = CONSTANT
family = MONOMIAL
[]
[creep_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6 76.001e6'
y = '1 1 0'
[]
[temp_bc]
type = PiecewiseLinear
x = '0 76e6 76.001e6 84.641e6 84.6482e6'
y = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear
x = '0 200e6'
y = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction
expression = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[integral_flux_error]
type = ParsedFunction
symbol_names = 'buffer_integral_flux IPyC_integral_flux'
symbol_values = 'buffer_integral_flux IPyC_integral_flux'
expression = 'IPyC_integral_flux + buffer_integral_flux'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx hydrostatic_stress'
strain = FINITE
incremental = true
add_variables = false
[default]
block = 'fuel buffer IPyC OPyC'
eigenstrain_names = 'thermal_strain swelling_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = 'SiC'
eigenstrain_names = 'thermal_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_ie]
type = TimeDerivative
variable = conc
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[mass]
type = ArrheniusDiffusion
variable = conc
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[mass_source]
type = BodyForce
variable = conc
function = power_history
value = 1.22e-5 # units of moles/m**3-s
block = fuel
extra_vector_tags = 'ref'
[]
[mass_decay]
type = Decay
variable = conc
radioactive_decay_constant = 7.297e-10 # units:(1/sec) The constant for Cesium
block = 'fuel buffer IPyC SiC OPyC'
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = fuel
fission_rate_function = power_history
value = 3.89e19
execute_on = timestep_begin
[]
[fluence]
type = MaterialRealAux
property = fast_neutron_fluence
variable = fluence
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
execute_on = timestep_begin
density = ${initial_fuel_density}
[]
[creep_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_xx
index_i = 0
index_j = 0
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_yy
index_i = 1
index_j = 1
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[creep_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_zz
index_i = 2
index_j = 2
block = 'buffer IPyC SiC OPyC'
execute_on = timestep_end
[]
[]
[ThermalContactMortar]
[thermal]
secondary_variable = temp
primary_boundary = 15
secondary_boundary = 17
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
gap_geometry_type = CYLINDER
min_gap = 1e-7
max_gap = 50e-6
roughness_coef = 0.0
correct_edge_dropping = true
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
model = frictionless
formulation = mortar
c_normal = 1.0e8
correct_edge_dropping = true
[]
[]
[ThermalContact]
[cesium_contact]
type = GapHeatTransfer
variable = conc
primary = 15
secondary = 17
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temp
appended_property_name = _conc
emissivity_primary = 0
emissivity_secondary = 0
quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
extra_vector_tags = 'ref'
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = yzero
value = 0.0
extra_vector_tags = 'ref'
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC
variable = temp
boundary = exterior
function = temp_bc
extra_vector_tags = 'ref'
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC
variable = conc
boundary = exterior
value = 0.0
extra_vector_tags = 'ref'
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = BufferGapVol
initial_pressure = 0
startup_time = 1.0e4
R = 8.3145
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 5e17
[]
[fission_gas_release] # Sifgrs fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = fuel
temperature = temp
burnup = burnup
eigenstrain_name = 'swelling_strain'
initial_fuel_density = ${initial_fuel_density}
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel'
[]
[fuel_elasticity]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.2e11
poissons_ratio = .345
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density} # kg/m^3
[]
[fuel_conc]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 5.6e-8 # m^2/s
q1 = 209.0e+3 # J/mol
d2 = 5.2e-4 # m^2/s
q2 = 362.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[buffer_eigenstrain]
type = PyCIrradiationEigenstrain
block = buffer
pyc_type = buffer
eigenstrain_name = 'swelling_strain'
[]
[buffer_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = buffer
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[buffer_elasticity]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e10
poissons_ratio = .23
[]
[buffer_stress]
type = PyCCreep
block = buffer
temperature = temp
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000.0 #kg/m^3
block = buffer
[]
[buffer_conc]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1.0e-12 # m^2/s
q1 = 0.0
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC buffer'
[]
[IPyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = IPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[IPyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = IPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[IPyC_elasticity]
type = ComputeIsotropicElasticityTensor
block = IPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[IPyC_disp]
type = PyCCreep
block = 'IPyC OPyC'
temperature = temp
[]
[IPyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_den]
type = StrainAdjustedDensity
block = 'IPyC OPyC'
strain_free_density = 1900.0
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 6.3e-8
q1 = 222.0e+3
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_elasticity]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.4e11
poissons_ratio = .13
[]
[SiC_creep]
type = MonolithicSiCCreepUpdate
block = SiC
temperature = temp
k_function = k_function
[]
[SiC_stress]
type = ComputeMultipleInelasticStress
block = SiC
tangent_operator = elastic
inelastic_models = 'SiC_creep'
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3180.0 # kg/m^3
block = SiC
[]
[SiC_conc]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 5.5e-14 # m^2/s
d1_function = d1_function
d1_function_variable = fluence
q1 = 125.0e+3 # J/mol
d2 = 1.6e-2 # m^2/s
q2 = 514.0e+3 # J/mol
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[OPyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = OPyC
pyc_type = dense
eigenstrain_name = 'swelling_strain'
[]
[OPyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = OPyC
thermal_expansion_coeff = 5.65e-6
stress_free_temperature = 1500.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[OPyC_elasticity]
type = ComputeIsotropicElasticityTensor
block = OPyC
youngs_modulus = 4.74e10
poissons_ratio = .23
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 6.3e-8 # m^2/s
q1 = 222.0e+3 # J/mol
d2 = 0.0
q2 = 0.0
gas_constant = 8.3143 # J/K-mol
temperature = temp
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-14'
snesmf_reuse_base = false
line_search = 'none'
nl_rel_tol = 5e-4
nl_abs_tol = 1e-10
nl_max_its = 20
l_max_its = 8
start_time = 0.0
end_time = 85.3682e6
dt = 100
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 10
growth_factor = 1.5
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Predictor]
type = SimplePredictor
scale = 0.5
skip_times_old = '0 76e6 76.001e6 84.641e6 84.6482e6'
[]
[]
[Outputs]
perf_graph = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[csv]
type = CSV
sync_times = '100 6308007 75696087'
sync_only = true
[]
[]
[Postprocessors]
[Cs_release]
type = SideIntegralMassFlux
variable = conc
boundary = exterior
execute_on = timestep_end
[]
[dt]
type = TimestepSize
execute_on = timestep_end
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial timestep_end'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial timestep_end'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
# ro = 3.125e-4
# ri = 2.125e-4
# vb = 4/3*pi*(ro^3-ri^3) = 8.76e-11
# buffer density = 1000
# PyC density = 1900
# fill ratio = 10/19
# vb*10/19 = 4.6e-11
# Must remove 4.6e-11 m^3 from the volume
addition = -4.6e-11
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
execute_on = 'initial linear nonlinear timestep_begin timestep_end'
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[buffer_avg_conc]
type = SideAverageValue
variable = conc
boundary = 17
[]
[IPyC_avg_conc]
type = SideAverageValue
variable = conc
boundary = 15
[]
[buffer_integral_flux]
type = SideIntegralMassFlux
variable = conc
boundary = 17
[]
[IPyC_integral_flux]
type = SideIntegralMassFlux
variable = conc
boundary = 15
[]
[integral_flux_error]
type = FunctionValuePostprocessor
function = integral_flux_error
[]
[integral_Cs_release]
type = TimeIntegratedPostprocessor
value = Cs_release
[]
[Cs_production]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.22e-5 # units of moles/m**3-s
[]
[time_integral_Cs_production]
type = TimeIntegratedPostprocessor
value = Cs_production
[]
[volumeFuel_initial]
type = InternalVolume
boundary = fuel
execute_on = initial
[]
[integral_Cs_production]
type = ParsedPostprocessor
pp_names = 'time_integral_Cs_production volumeFuel_initial'
expression = 'time_integral_Cs_production * volumeFuel_initial'
[]
[Cs_release_fraction]
type = ParsedPostprocessor
pp_names = 'integral_Cs_release integral_Cs_production'
expression = 'integral_Cs_release / integral_Cs_production'
[]
[]
[VectorPostprocessors]
[temperaturevpp]
type = SideValueSampler
boundary = 11
variable = temp
sort_by = x
outputs = 'csv'
use_displaced_mesh = true
[]
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_mechanics.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube_mech.e
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251380'
y = '600 882.81 882.81 600'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = 2
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = '4'
value = 0.0
[]
[no_x_clad]
type = DirichletBC
variable = disp_x
boundary = '5'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 7
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 6
value = 0.0
[]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 1.98
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 11057.75
block = 1
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = 1
[]
[elastic_stress_fuel]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = 1
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = 2
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = 2
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[elastic_stress_clad]
type = ComputeFiniteStrainElasticStress
block = 2
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251380
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5 # half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'disp_x disp_y temp pore'
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_old_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 38974.7 38974.7'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 1.9e+19 1.9e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 32000 32000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '295 295 295 295 295 295 295 295 593.58 606.36 619.13 630.26 640.87 651.76 662.67 673.67'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 25000000
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_75MW_sub_old_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(test/tests/decay_heating/decay_heating_rz.i)
# Tests decay heating, specifically the MaxFissionRateAux auxkernel and NeutonHeatSource kernel.
#
# The test solves a simple lumped heat capacity problem (ODE):
#
# rho*C dT/dt = Fdot*Ef
# where rho = density
# C = heat capacity
# Fdot = fission density rate
# Ef = energy per fission
# T = temperature
# t = time
#
# which can be integrated to give the time dependent temperature throughout the domain as:
#
# T(t) = (Ef/(rho*C)) * Integral [Fdot(t) * dt] + T0
#
# The fission density rate is linearly ramped to 1000 over 100 s, dropped to 0 over the next 100 s,
# ramped to 500 over the next 100 s, and then returned to zero over a final 100 s. The result is a
# temperature of 2.5e5 at 400 s when the decay process begins. Decay is computed in two 4 s steps,
# which can be integrated as follows:
#
# deltaT(408s) = (Ef/(rho*C) * [f(404s) *dt + f(408s) *dt] * max_fission_density_rate
# = (1 /(1 *1) * [0.03802859*4 + 0.03070299*4 ] * 1000
# = 274.9263
# which matches the computed temperature at 408s precisely.
#
# Note that:
# 1) the max_fission_density_rate is multiplied by the decay function as per the simplified method
# precribed in the ANS 5.1-1979 Standard for decay heating
# 2) the f functions are taken from the decay_heat_function post processor (computed during this
# test) which is tested independently
#
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = cylinder.e
[]
[]
[Functions]
[power_function]
type = PiecewiseLinear
x = '0 100 200 300 400'
y = '0 1 0 0.5 0'
[]
[time_function]
type = PiecewiseLinear
x = '0 400 400.000001 408'
y = '20 20 4 4'
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1e5
[]
[]
[AuxVariables]
[fission_rate]
block = 1
[]
[max_fission_rate]
block = 1
[]
[]
[Kernels]
[ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[fission_heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
energy_per_fission = 1
decay_heat_function = decay_heat_function # Couple to postprocessor which defines the decay heat function
max_fission_rate = max_fission_rate # Couple to auxvariable which defines maximum fission rate over irradiation
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
block = 1
value = 1000
fission_rate_function = power_function
execute_on = timestep_begin
[]
[max_fission_rate]
type = MaxFissionRateAux
variable = max_fission_rate
block = 1
fission_rate = fission_rate
execute_on = timestep_begin
[]
[]
[BCs]
[top_T]
type = NeumannBC
variable = temp
boundary = '1 2'
value = 0.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 10
specific_heat = 1
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
end_time = 408
num_steps = 500
nl_rel_tol = 1e-8
nl_abs_tol = 1e-14
dt = 20
[TimeStepper]
type = FunctionDT
function = time_function
[]
[]
[Postprocessors]
[temperature]
type = NodalVariableValue
variable = temp
nodeid = 2
[]
[decay_heat_function]
type = DecayHeatFunction
time_at_shutdown = 400
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
energy_per_fission = 1
block = 1
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFJ027/BFJ027.i)
################################################################################
#
# Description: Calvert Cliffs BFJ027
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFJ027_power.csv
# axial peaking factor file BFJ027_axial_peaking.csv
# flux boundary condition file BFJ027_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.28943
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFJ027_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFJ027_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177688931 177689291'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177688931 177689291'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFJ027_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0366 .9634 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177689291
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/2D-RZ_rodlet_10pellets/fuel_pin_geometry/fuelpingeo.i)
# Model is of a smeared pellet fuel rod (pellet_type_1), using the user object fuel pin geometry.
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ../smeared.e
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temp]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ../powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ../peakingfactors12.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = 'pin_geometry'
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
quadrature = true
contact_pressure = contact_pressure
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor] # isotropic elasticity tensor for UO2
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress] # elastic stress for UO2 (used instead of creep)
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion] # thermal expansion strain for UO2
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation] # relocation strain measure for UO2
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = 'pin_geometry'
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal] # general thermal property input for clad
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor] # isotropic elasticity tensor for Zry cladding
type = ZryElasticityTensor
block = clad
[]
[clad_stress] # stress update class to govern the return mapping algorithm for creep
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep] # creep for zircaloy cladding
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
#Stress Measures
[center_vonMises_fuel]
type = ElementalVariableValue
elementid = 176 # mesh dependent (contains pt. 0.0041, 0.0546333)
variable = vonmises_stress
execute_on = timestep_end
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet_type_1
execute_on = timestep_end
[]
[center_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 429 # mesh dependent (contains pt. 0.00418, 0.0556267)
variable = vonmises_stress
execute_on = timestep_end
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
execute_on = timestep_end
[]
# Radial Strain
[center_strain_rr_fuel]
type = ElementalVariableValue
elementid = 176 # mesh dependent (contains pt. 0.0041, 0.0546333)
variable = radial_strain
execute_on = timestep_end
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet_type_1
execute_on = timestep_end
[]
[center_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 429 # mesh dependent (contains pt. 0.00418, 0.0556267)
variable = radial_strain
execute_on = timestep_end
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
execute_on = timestep_end
[]
[center_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 429 # mesh dependent (contains pt. 0.00418, 0.0556267)
variable = effective_creep_strain
execute_on = timestep_end
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
# Contact quantities
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 584 # mesh dependent, at (0.0041, 0.0546333)
execute_on = timestep_end
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 584 # mesh dependent, at (0.0041, 0.0546333)
execute_on = timestep_end
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[]
[VectorPostprocessors]
[clad]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
execute_on = timestep_end
[]
[pellet]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
execute_on = timestep_end
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_D/x441_leg_D.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_swelling'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[porosity]
type = MaterialRealAux
variable = porosity
property = porosity
block = pellet
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrain
block = pellet
temperature = temp
# hydrostatic_stress = hydrostatic_stress
hydrostatic_stress = 1e6
eigenstrain_name = fuel_volumetric_swelling
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_legacy_swell
[out2]
type = CSV
file_base = x441_${group_name}_legacy_swell_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_legacy_swell_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_legacy_swell_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_legacy_swell_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/standard_metallic_outputs_action/x441_mini_fuel_rod_no_std_blk.i)
initial_fuel_density = 15800
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
# Nominal Design Geometric Parameters (X441)
type = FuelPinMeshGenerator
clad_thickness = 0.38e-03
pellet_outer_radius = 2.195e-03
pellet_height = 3.4e-2
clad_top_gap_height = 2.7e-2
clad_gap_width = 0.345e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_bot_gap_height = 0.31e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 1
ny_p = 5
nx_c = 1
ny_c = 5
ny_cu = 1
ny_cl = 1
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 2
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 5e3'
y = '0 44722'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 5e3'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 5e3'
y = '298.0 648.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = 343.0e-3
pellet_y_start = 8.1e-3
[]
[engr_radial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_rad / 2.195e-03'
symbol_values = 'max_fuel_radial_disp'
symbol_names = 'fuel_disp_rad'
[]
[engr_axial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_axial / 343.0e-3'
symbol_values = 'max_fuel_elongation'
symbol_names = 'fuel_disp_axial'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain
solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = 0.345e-3
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
temperature = plenum_temperature
volume = plenum_volume
output = plenum_pressure
material_input = fission_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = 2.195e-03
X_Zr = 0.225
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.225
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.225
X_Pu = 0.0
block = pellet
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
anisotropic_factor = 0.4
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = 0.225
X_Pu = 0.0
spheat_model = savage
thcond_model = lanl
porosity = porosity
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
critical_porosity = 0.24
fractional_fgr_initial = 0.8
fractional_fgr_post = 1.0
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 5e3
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e3
time_t = '0 1e4'
time_dt = '1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[plenum_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = -1.53703e-6
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fission_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fission_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_produced
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = clad
variable = effective_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_radial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_xx
[]
[max_fuel_axial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_yy
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_fuel_radial_disp]
type = NodalExtremeValue
variable = disp_x
boundary = 'all_pellet_exterior'
[]
[engr_strain_fuel_radial]
type = FunctionValuePostprocessor
function = engr_radial_strain_fuel
[]
[engr_strain_fuel_axial]
type = FunctionValuePostprocessor
function = engr_axial_strain_fuel
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.05 0.0'
num_points = 300
sort_by = y
outputs = 'vec1'
[]
[clad_radial_displacement]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
time_step_interval = 1
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3'
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_mini_fuel_rod_no_std_blk_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fission_gas_released_percentage max_clad_hoop_creep max_clad_creep_strain_mag max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[vec1]
type = CSV
file_base = x441_mini_fuel_rod_no_std_blk_vec1
execute_on = 'FINAL'
create_final_symlink = true
[]
[vec2]
type = CSV
file_base = x441_mini_fuel_rod_no_std_blk
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-2kW.i)
################################################################################
#
# Description: LOCA MT-6A Test with constant power level of 1.2 kW/m
#
#
# External files:
# axial peaking factor file MT6A_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 150'
y = '1.2e3 1.2e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 60 150'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT6A_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 150'
y = '1.72 1.72'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0' #TODO: Looks like it's set for 2.93%!
RPF = RPF
density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e11
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.15e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 310 # K
inlet_pressure = 1.72e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = htc_function
htc_correlation_type = 1
flooding_time = 60.0
flooding_rate = 0.059182 # m/s
initial_temperature = 1175 # K
initial_power = 1.776 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 63.02
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/triso_failure/higher_order_correlation.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.155 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 973.15 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.5 # Initial Oxygen to Uranium atom ratio
C_U = 0.4 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 212.5e-6
buffer_thickness = 100e-6
IPyC_thickness = 41e-6
SiC_thickness = 34e-6
OPyC_thickness = 44e-6
kernel_mesh_density = 5
buffer_mesh_density = 3
IPyC_mesh_density = 5
SiC_mesh_density = 3
OPyC_mesh_density = 4
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40e-6
SiC_thickness_mean = 35e-6
OPyC_thickness_mean = 40e-6
[]
[triso_failure_terminator]
type = Terminator
expression = 'triso_failure > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 973.15
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 7.78e19
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e10'
y = '1.198892e9 1.198892e9'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 6922 -2.359e8'
polynomial_coefficients_SiC = '1 -1.257e4 1.82e8'
polynomial_coefficients_OPyC = '1 -1.257e4 1.82e8'
correlation_factor = -1.1932
[]
[high_fidelity_strength_asphericity]
type = PiecewiseLinear
x = '0 1.0e10'
y = '0.993212e9 0.993212e9'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -1.716e4 2.123e8'
polynomial_coefficients_SiC = '1 2.688e4 -1.414e7'
polynomial_coefficients_OPyC = '1 -1.716e4 2.123e8'
correlation_factor = 0.2923
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -1.664e4 1.929e8'
polynomial_coefficients_SiC = '1 2.625e4 -1.112e7'
polynomial_coefficients_OPyC = '1 -1.664e4 1.929e8'
correlation_factor = 0.5241
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = 973.15
boundary = exterior
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.16e18
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 11000
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 11000.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF]
type = BaconAnisotropyFactor
initial_BAF = 1.05
block = 'buffer IPyC OPyC'
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1900
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 1e+06
dtmax = 2e5
dtmin = 1e-4
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
optimal_iterations = 10
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
use_displaced_mesh = true
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
use_displaced_mesh = true
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
exodus = false
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/L09_2DRZ_new_bubble_gb_lim_grainGrowth.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.2
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.9144
pellet_outer_radius = 2.794e-3
pellet_inner_radius = 6.985e-4
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 101.6e-6
clad_thickness = 0.5334e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.057
elem_type = QUAD8
nx_c = 4
ny_c = 1000
nx_p = 10
ny_p = 500
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fraction_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 0.854004932 0.854004932'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 2.99513e+19 2.99513e+19'
[]
[axial_power_profile]
type = PiecewiseBilinear
x = '0.0334152 0.09468 0.1559448 0.2162952 0.27756 0.3388248 0.3991752 0.46044 0.5217048 0.5820552 0.64332 0.7045848 0.7649352 0.8262 0.8874648'
y = '0 31858942.74'
z = '5493.43832 7183.727034 29157.48031 34228.34646 37608.92388 40144.35696 41412.07349 42257.21785 41834.64567 39721.78478 37608.92388 33805.77428 28312.33596 4225.721785 2535.433071 5041.338583 6592.519685 26757.87402 31411.41732 34513.77953 36840.55118 38003.93701 38779.52756 38391.73228 36452.75591 34513.77953 31023.62205 25982.28346 3877.952756 2326.771654'
scale_factor = 1
axis = 1
[]
[average_power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 24264.05646 24264.05646'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.2
axial_power_profile = axial_power_profile
rod_ave_lin_pow = fraction_history
pellet_diameter = 0.005588
execute_on = timestep_begin
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 0.151e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 0.151e6
inlet_massflux = 1687.43
rod_diameter = 6.858e-3
rod_pitch = 1.7e-2
linear_heat_rate = fraction_history
axial_power_profile = axial_power_profile
coolant_material = sodium
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = 0.2
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
bubble_gb_limit = 1.0e+11
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fast_neutron_flux]
type = GenericFunctionMaterial
block = clad
prop_names = fast_neutron_flux
prop_values = fast_neutron_flux_function
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = fraction_history
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.9144 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = fftf_fo2_L09_new_GrainGrowth_chkfile
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_old_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 25577 25577'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 1.2e+19 1.2e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 17153028'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 21000 21000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.075 0.15 0.225 0.3 0.375 0.45 0.525 0.6'
y = '0 17153028'
z = '295 295 295 295 295 295 295 295 295 499.9 509.1 517.8 525.42 532.71 540.29 547.7 552.3 554.81'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 17153028
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_50MW_sub_old_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(workshop/bison_example/Smeared_mortar.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
family = LAGRANGE
order = SECOND
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'temperature disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = always
patch_size = 100 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[file]
file = smeared.e
type = FileMeshGenerator
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temperature]
initial_condition = 295.0
[]
[disp_x]
block = 'pellet_type_1 clad'
[]
[disp_y]
block = 'pellet_type_1 clad'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = peakingfactors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
temperature = temperature
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
temperature = temperature
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
block = 'pellet_type_1 clad'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 clad'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet_type_1
burnup_function = burnup
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fis_gas_released
[]
[]
[Contact]
[mechanical]
model = frictionless
formulation = mortar
primary = 5
secondary = 10
c_normal = 1e+11
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 0.987775
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.03
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 200.0
variable = temperature
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-6 NONZERO 1e-13'
snesmf_reuse_base = false
line_search = 'none'
l_max_its = 20
l_tol = 8e-3
nl_max_its = 60
nl_rel_tol = 1e-4
nl_abs_tol = 1e-12 # LM
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 1e6
dtmin = 1
automatic_scaling = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 50
iteration_window = 2
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial linear'
[]
[ave_fuel_temp]
type = ElementAverageValue
block = pellet_type_1
variable = temperature
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[fuel_centerline_temp]
type = NodalVariableValue
variable = temperature
nodeid = 616
[]
[fuel_surface_temp]
type = NodalVariableValue
variable = temperature
nodeid = 587
[]
[clad_surface_temp]
type = NodalVariableValue
variable = temperature
nodeid = 1440
[]
[penetration_mid]
type = NodalVariableValue
variable = penetration
nodeid = 587
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_clad_radial_displacement]
type = CSV
execute_on = 'timestep_end'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master_sampleL.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 1
xmax = 2.794e-3
xmin = 6.985e-4
nx = 1000
elem_type = EDGE
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 48.2674686 48.2674686'
[]
[fuel_surface_temp]
type = PiecewiseLinear
x = '-200 74993.42422 31858942.74'
y = '295 676 853.565'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
initial_porosity = 0.2
rod_ave_lin_pow = power_history
pellet_diameter = 0.005588
execute_on = timestep_begin
porosity = pore
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_outside]
type = FunctionDirichletBC
variable = temp
boundary = right
function = fuel_surface_temp
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = ParsedMaterial
property_name = density
expression = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-6
fixed_point_max_its = 1
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-4
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature]
type = LineValueSampler
variable = temp
start_point = '6.985e-4 0 0.0'
end_point = '2.794e-3 0 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity]
type = LineValueSampler
variable = pore
start_point = '6.985e-4 0 0.0'
end_point = '2.794e-3 0 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
positions = '0 0 0'
input_files = fftf_fo2_L09_sub_1D.i
execute_on = TIMESTEP_END
sub_cycling = false
[]
[]
[Transfers]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
execute_on = SAME_AS_MULTIAPP
[]
[temp_to_sub]
type = MultiAppGeometricInterpolationTransfer
to_multi_app = sub
source_variable = temp
variable = temp
check_multiapp_execute_on = true
execute_on = SAME_AS_MULTIAPP
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/LWR/validation/OSIRIS_J12/analysis/OSIRIS_J12.i)
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} # initial fuel density 95% of theoretical (10980 kg/m3)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = osiris_j12_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5e-6
[]
[elastic_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = j12_5_power.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = j12_5_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[CoolantPressureFunction]
type = PiecewiseLinear
x = '-100 0 50389344 50389444 50390704 50480887 50480988'
y = '0.06537 1 1 0.06537 0.948 0.948 0.06537'
[]
[clad_temp_bc]
type = PiecewiseLinear
data_file = j12_5_clad_bc.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_zz'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = 3
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 4.8e13 #n/m2-s per W/m
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
[]
[elastic_strain_hoop]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_hoop
block = 1
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 21
a_lower = 0.00324
a_upper = 0.4442
fuel_inner_radius = 0.00
fuel_outer_radius = 0.004096
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.045 .955 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e12
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = CoolantPressureFunction
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.26e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup_function = burnup
initial_fuel_density = 10431
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 293
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.008192
diametral_gap =168.0e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.015
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 293
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200.0
min_value = 273.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 50480988
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
optimal_iterations = 10
linear_iteration_ratio = 100
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[average_grain_radius]
type = ElementAverageValue
block = '3'
variable = grain_radius
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
burnup_function = burnup
variable = temp
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
cladding_blocks = 1
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW.i)
################################################################################
#
# Description: LOCA MT-4 Test with constant power level of 1.1 kW/m
#
#
# External files:
# axial peaking factor file MT4_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 110'
y = '1.1e3 1.1e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 57 110'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT4_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 110'
y = '0.28 0.28'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0'
RPF = RPF
density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.3e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 311 # K
inlet_pressure = 0.28e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = 10
htc_correlation_type = 1
flooding_time = 57.0
flooding_rate = 0.127 # m/s
initial_temperature = 1140 # K
initial_power = 1.628 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 110
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/MOX/FFTF/FO-2/L09/analysis/fftf_fo2_L09_master_sampleJ.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 1
xmax = 2.794e-3
xmin = 6.985e-4
nx = 1000
elem_type = EDGE
[]
[]
[Variables]
[temp]
initial_condition = 295.0
scaling = 1
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 74993.42422 31858942.74'
y = '0 19947.50467 19947.50467'
[]
[fuel_surface_temp]
type = PiecewiseLinear
x = '-200 74993.42422 31858942.74'
y = '295 1057 1304.71'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
initial_porosity = 0.2
rod_ave_lin_pow = power_history
pellet_diameter = 0.005588
execute_on = timestep_begin
porosity = pore
pellet_inner_diameter = 0.001397
[]
[burnup]
type = BurnupAux
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_outside]
type = FunctionDirichletBC
variable = temp
boundary = right
function = fuel_surface_temp
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = ParsedMaterial
property_name = density
expression = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-6
fixed_point_max_its = 1
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-4
start_time = -200
n_startup_steps = 1
end_time = 31858942.74
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature]
type = LineValueSampler
variable = temp
start_point = '6.985e-4 0 0.0'
end_point = '2.794e-3 0 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity]
type = LineValueSampler
variable = pore
start_point = '6.985e-4 0 0.0'
end_point = '2.794e-3 0 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
positions = '0 0 0'
input_files = fftf_fo2_L09_sub_1D.i
execute_on = TIMESTEP_END
sub_cycling = false
[]
[]
[Transfers]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
execute_on = SAME_AS_MULTIAPP
[]
[temp_to_sub]
type = MultiAppGeometricInterpolationTransfer
to_multi_app = sub
source_variable = temp
variable = temp
check_multiapp_execute_on = true
execute_on = SAME_AS_MULTIAPP
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/triso_failure/sub.i)
[GlobalParams]
density = 10810.0 # kg/m^3
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18 # n/m^2-sec
[]
[fission_gas_release] # Sifgr fission gas release mode
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (bison kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000 #kg/m^3
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10 #47787559927.148 #3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0 # kg/m^3
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0 # kg/m^3
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[characteristic_strength_PyC]
type = GenericConstantMaterial
prop_values = '964000'
prop_names = 'characteristic_strength'
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
# petsc_options = '-snes_mf_operator -snes_ksp_ew -ksp_monitor'
# petsc_options_iname = '-pc_type -pc_hypre_type'
# petsc_options_value = 'hypre boomeramg'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 2
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
failure_type = IPYC_CRACKING
[]
[burnup_at_failure]
type = TRISOFailureOccurrenceStatus
failure_evaluation = ipyc_cracking
failure_information = burnup
[]
[left_bc]
type = NodalExtremeValue
boundary = xzero
variable = disp_x
[]
[]
[UserObjects]
[triso_failure_terminator]
type = Terminator
expression = 'triso_failure > 0'
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = false
perf_graph = true
[]
[Controls]
[stochastic]
type = SamplerReceiver
[]
[]
(test/tests/upuzr_fission_rate/test_meta.i)
#This test reads the FIPD pin design geometry of X447/DP11 and generates a metadata `pellet_radius`.
#The `pellet_radius` is used by `UPuZrFissionRate` to convert power into fission rate without AD.
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ../fipd_rodlet_mesh_generator/fipd_pin_design/DP11_design.csv
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 4
cladding_sidewall_axial_element_numbers = '2 20 20'
cladding_top_plug_radial_elements = 4
cladding_top_plug_axial_elements = 2
cladding_bottom_plug_radial_elements = 4
cladding_bottom_plug_axial_elements = 2
fuel_radial_elements = 4
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '20'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[AuxVariables]
[temp]
[]
[X_Zr_elemental]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[temp_aux]
type = FunctionAux
variable = temp
function = '100 + 10000 * x'
[]
[X_Zr_elemental_aux]
type = ParsedAux
variable = X_Zr_elemental
coupled_variables = X_Zr
expression = X_Zr
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.1715 0.3429'
y = '0.9 1.1 0.9'
[]
[pu_profile]
type = PiecewiseLinear
axis = y
x = '0 0.1715 0.3429'
y = '0.1 0.2 0.1'
[]
[]
[Variables]
[X_Zr]
initial_condition = 0.2
[]
[]
[Kernels]
[dt]
type = TimeDerivative
variable = X_Zr
[]
[diff]
type = MatDiffusion
variable = X_Zr
diffusivity = 1e-6
[]
[soret]
type = ThermoDiffusion
variable = X_Zr
temp = temp
mass_diffusivity = 1e-4
heat_of_transport = 1
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
X_Zr = X_Zr
initial_X_Zr = 0.2
rod_linear_power = power_profile
axial_power_profile = axial_profile
X_Pu_function = pu_profile
energy_per_fission = 100
coeffs = '0.9 -1.2'
use_metadata = true
mesh_generator = gen
mesh_property_name = fuel_radius
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
num_steps = 5
[]
[Postprocessors]
[X_Zr]
type = PointValue
variable = X_Zr_elemental
point = '0.00055 0.15 0'
[]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[axial_plutonium]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = pu_profile
[]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[X_Zr_avg]
type = ElementAverageValue
variable = X_Zr
[]
[integral_power]
type = ElementIntegralPower
variable = temp
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[]
[Outputs]
csv = true
[]
(assessment/LWR/validation/HBEP/analysis/BK363/HBEP_BK363.i)
initial_fuel_density = 10233 #93.2% of TD (TD assumed to be 10980)
[GlobalParams]
density = ${initial_fuel_density} #93.2% of TD (TD assumed to be 10980)
initial_porosity = 0.068
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = HBEP.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = 3
initial_condition = 10.53e-6 # = 13.5e-6 experimental dia * 1.56 /2
[]
[fast_neutron_flux]
block = '1'
[]
[fast_neutron_fluence]
block = '1'
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
# reads and interpolates an input file containing rod average linear power vs time
type = PiecewiseLinear
data_file = BK363_linear_power.csv
format = columns
[]
[axial_peaking_factors]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = BK363_power_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
#Ambient for initial build @ 0.101353 MPa, PWR @ 13.73 MPa and PIE @ 0.101353 MPa
x = '-100 0 137115360 137118960'
y = '0.007382 1 1 0.007382'
[]
[flux]
type = PiecewiseLinear
data_file = BK363_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = BK363_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
# reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = BK363_clad_temp_peaking_factors.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_xx
creep_strain_yy creep_strain_xy'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
# gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1 # fission rate applied to the fuel only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
a_lower = 0.00324
a_upper = 1.02024
fuel_outer_radius = 4.095e-3
fuel_inner_radius = 1.24e-3
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0707 0.9293 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = '1'
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = '1'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_hoop]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
index_i = 2
index_j = 2
execute_on = timestep_end
block = 1
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
block = 1
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
penalty = 1e7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10 # fuel
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
primary = 5 # clad
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = .955e-6
roughness_primary = 1.5e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 13.73e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 1.40e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet_type_1
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10233
[]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 300
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_1
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = .00819
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =1.7e-4 #diameteral gap
relocation_activation1 = 5000 # initial relocation activation power set to 5kW/m
burnup_relocation_stop = .035
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 50
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 137118960
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 2e6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block =pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1.017 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 4784
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
value_type = min
variable = penetration
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/IFA_636/analysis/IFA_636/IFA_636.i)
initial_fuel_density = 10551.78
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_mesh_density = customize
clad_mesh_density = customize
pellet_quantity = 1
pellet_height = 0.392
pellet_outer_radius = 4.097e-3
ny_p = 40
nx_p = 11
clad_gap_width = 78e-6
clad_bot_gap_height = 1e-3
plenum_fuel_ratio = 0.21628
clad_thickness = 0.5715e-3
nx_c = 4
ny_c = 80
ny_cl = 3
ny_cu = 3
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 5e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[deltav_v0_swe]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = IFA_636_power_history.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = IFA_636_axial_peaking.csv
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 213162351 213260400'
y = '0.0307 1 1 0.0307'
[]
[clad_temp_bc]
type = PiecewiseLinear
data_file = IFA_636_clad_bc.csv
format = columns
scale_factor = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_swelling_eigenstrain
fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
[]
[clad]
block = clad
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
creep_strain_xx creep_strain_xy creep_strain_yy creep_strain_zz'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.6e12
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[dvv0swe]
type = MaterialRealAux
variable = deltav_v0_swe
property = volumetric_swelling_strain
execute_on = timestep_end
block = pellet
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00324000
a_upper = 0.39524
fuel_volume_ratio = 1
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0040975
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0425 0.9575 0 0 0 0'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = KINEMATIC
model = frictionless
normalize_penalty = true
penalty = 1e14
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.33e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.0e6
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[swelling]
type = UO2VolumetricSwellingEigenstrain
block = pellet
initial_fuel_density = 10551.78
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_swelling_eigenstrain
[]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.039
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
temperature = temp
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 293.0
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
diameter = 0.008194
diametral_gap =156.0e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.029
relocation_activation1 = 5000
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
initial_porosity = 0.039
gbs_model = true
transient_option = MICROCRACKING
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
inelastic_models = 'clad_creep'
tangent_operator = 'elastic'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
zircaloy_material_type = stress_relief_annealed
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradition_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200
min_value = 200
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 213260400
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
burnup_function = burnup
variable = temp
[]
[fuel_disp_y_average]
type = AverageNodalVariableValue
boundary = top_of_top_pellet
variable = disp_y
[]
[volumetric_strain]
type = ElementAverageValue
block = pellet
variable = deltav_v0_swe
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet
cladding_blocks = clad
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released fuel_disp_y_average rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/IFA_597_3/analysis/rod_7/IFA_597_rod7_glued.i)
initial_fuel_density = 10500.0
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_iterations = 10
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ifa_597r7.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = '3 4'
initial_condition = 6.1074e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = 597-R7_linear_power.csv
format = columns
scale_factor = 1.0526316
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = 597-R7_axial_power_peaking_factors.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 269029548 269030508 269055648 269056588 280124964 280125427'
y = '0 1 1 0.014475 0.014475 0.457 0.457 0.014475'
[]
[flux]
type = PiecewiseLinear
data_file = flux.csv
format = columns
[]
[clad_average_temp]
type = PiecewiseLinear
data_file = 597-R7_clad_outer_temperature.csv
format = columns
[]
[q]
type = CompositeFunction
functions = 'power_profile axial_peaking_factors'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = '3 4'
strain = FINITE
temperature = temp
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress'
decomposition_method = EigenSolution
[]
[clad]
block = 1
strain = FINITE
temperature = temp
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel]
type = NeutronHeatSource
variable = temp
block = '3 4'
fission_rate = fission_rate
fraction = 0.95 # per Glyn Rossiter's suggestion
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = '3 4'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_lower = 0.00324
a_upper = 0.3571
fuel_inner_radius = 0.000
fuel_outer_radius = 0.0052195
fuel_volume_ratio = .994899
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.03347 0.96653 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = '3 4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = 1
variable = creep_strain_mag
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e9
formulation = penalty
model = glued
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_secondary = 1.3e-6
roughness_primary = 1.38e-6
roughness_coef = 3.2
contact_pressure = contact_pressure
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 269055648
refab_gas_types = He
refab_fractions = 1
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_average_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 #changes to 3.2e6 after 59 MWd/kgUO2
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.0e5 #changes to 5e5 after 59 MWd/kgUO2
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 269055648
refab_pressure = 5e5
refab_temperature = 500
refab_volume = 6e-6
[]
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = '3 4'
burnup_function = burnup
temperature = temp
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
initial_fuel_density = 10500.0
[]
[fuel_thermal]
type = UO2Thermal
block = '3 4'
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
initial_porosity = 0.04372
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = '3 4'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = '3 4'
temperature = temp
stress_free_temperature = 297
thermal_expansion_coeff = 10e-6
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = '3 4'
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = '3 4'
burnup_function = burnup
diameter = 0.010439
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =2.11e-4
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_eigenstrain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_creep_stress]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models ='clad_creep_stress'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_growth_eigenstrain
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 297
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = '3 4'
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.04372
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING
[]
[density_clad]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = '3 4'
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 280125427
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 20
linear_iteration_ratio = 100
dt = 100
force_step_every_function_point = true
timestep_limiting_function = power_profile
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
outputs = exodus
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block ='3 4'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = '3 4'
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
outputs = exodus
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
outputs = exodus
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = '3 4'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.3539 # rod height
[]
[average_fission_rate]
type = AverageFissionRate
rod_ave_lin_pow = power_profile
fuel_outer_radius = 0.0052195
fuel_inner_radius = 0.000
outputs = exodus
[]
[power_tc_location]
type = FunctionValuePostprocessor
function = q
point = '0 0.33319 0'
[]
[TC_temp]
type = NodalVariableValue
variable = temp
nodeid = 7476 # Global NodeID 7477
[]
[elongation]
type = NodalVariableValue
variable = disp_y
nodeid = 1887 # Global NodeID 1888
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = '3 4'
[]
[Outputs]
perf_graph = true
csv = 1
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage TC_temp rod_total_power elongation'
execute_on = 'FINAL'
[]
[]
(test/tests/triso_failure/triso_1d_asphericity_failure.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_asphericity]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_asphericity]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_change_correlation_asphericity]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346.0
[]
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
# apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[stress_yy]
type = RankTwoCartesianComponent
rank_two_tensor = stress
property_name = stress_yy
index_i = 1
index_j = 1
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_thermal]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_thermal]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_thermal]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength]
type = GenericConstantMaterial
prop_values = '9640000'
prop_names = 'characteristic_strength'
block = SiC
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[triso_failure]
type = TRISOFailureEvaluation
SiC_failure = failure_indicator_SiC
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
[]
(examples/2D_plane_strain_rod/planestrain.i)
initial_fuel_density = 10431.0
[GlobalParams]
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
patch_size = 100 # For contact algorithm
[mesh]
type = FileMeshGenerator
file = planestrain.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 580.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[fission_rate]
block = pellet_type_1
[]
[burnup]
block = pellet_type_1
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '0 1e4'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
[]
[clad]
block = clad
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 21
axial_direction = z
density = ${initial_fuel_density}
a_lower = -1e-3 # mesh dependent!
a_upper = 1e-3 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
RPF = RPF
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[relocation_strain]
type = MaterialRealAux
property = relocation_strain
variable = relocation_strain
block = pellet_type_1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 8
execute_on = linear
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 7
secondary = 8
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
[]
[]
[BCs]
# Define boundary conditions
[no_y_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_y
boundary = 15
value = 0.0
[]
[no_x_all] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = 16
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[convective_clad_surface] # apply convective boundary to clad outer surface
type = ConvectiveFluxBC
boundary = '2'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 580.0
final = 580.0
duration = 1.0e4 #duration of initial power ramp
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = pellet_type_1
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_solid_mechanics_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
temperature = temp
eigenstrain_name = 'fuel_volumetric_eigenstrain'
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
density = 10431.0
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 1.e20
relocation_activation1 = 5000
axial_direction = z
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_creep_model]
type = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'clad_irradiation_eigenstrain'
[]
[fission_gas_release] # Forsberg-Massih fission gas release mode
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = 10.0e-6
#external_pressure = 40e6
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = 10431.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
# PETSC options:
# petsc_options
# petsc_options_iname
# petsc_options_value
#
# controls for linear iterations
# l_max_its
# l_tol
#
# controls for nonlinear iterations
# nl_max_its
# nl_rel_tol
# nl_abs_tol
#
# time control
# start_time
# dt
# optimal_iterations
# iteration_window
# linear_iteration_ratio
type = Transient
solve_type = 'PJFNK'
petsc_options = '-ksp_gmres_modifiedgramschmidt'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_composite_pcs -sub_0_pc_hypre_type -sub_0_pc_hypre_boomeramg_max_iter -sub_0_pc_hypre_boomeramg_grid_sweeps_all -sub_1_sub_pc_type -pc_composite_type -ksp_type -mat_mffd_type'
petsc_options_value = '201 composite hypre,asm boomeramg 2 2 lu multiplicative fgmres ds'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = 0.0
end_time = 1.0e6
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
time_t = '1e4 1e5 1e6'
time_dt = '1e3 1e4 1e5'
[]
dtmax = 2e6
dtmin = 1
# optimal_iterations = 6
# iteration_window = 2
# linear_iteration_ratio = 100
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[average_interior_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[average_centerline_fuel_temperature] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial timestep_end'
[]
[plenum_volume] # gas volume
type = InternalVolume
boundary = 9
addition = 1.3e-5 #rough guess of plenum volume/unit length of fuel
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_generated] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = linear
[]
[fission_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = linear
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[_dt] # time step
type = TimestepSize
execute_on = timestep_end
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_generated
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
max_rows = 25
[]
[]
(test/tests/triso_failure/triso_1d_ipyc_weibull_probability.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '5 3 0 5 3 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
[]
[]
[Variables]
[temperature]
initial_condition = 900
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1363350801.3058'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 7017 -2.368e8'
polynomial_coefficients_SiC = '1 1.492e4 -3.802e7'
polynomial_coefficients_OPyC = '1 -1.273e4 1.849e8'
correlation_factor = -1.1824630660785265
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1086690814.283'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -2070 3.458e7'
polynomial_coefficients_SiC = '1 -868.9 -1.368e7'
polynomial_coefficients_OPyC = '1 1734 -1.988e7'
correlation_factor = 1.0626986695756293
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -856 1.593e7'
polynomial_coefficients_SiC = '1 1774 -5.253e7'
polynomial_coefficients_OPyC = '1 456.4 -1.459e7'
correlation_factor = 1.0113764663823708
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 900
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[]
[Outputs]
show = 'weibull_failure_probability_IPyC weibull_failure_probability_SiC weibull_failure_probability_SiC_crackedIPyC'
print_linear_residuals = false
time_step_interval = 1
csv = true
exodus = false
perf_graph = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(assessment/TRISO/benchmark/IAEA_CRP-6/fuel_performance/case_11/case_11_1D.i)
#
# This case is taken from Advances in high temperature gas cooled reactor fuel
# technology. Technical Report IAEA-TECDOC-1674, International Atomic Energy
# Agency, 2012.
#
# See also Hales, et al., Multidimensional multiphysics simulation of TRISO
# particle fuel, JNM, 443, 2013. https://doi.org/10.1016/j.jnucmat.2013.07.070
#
# The correctness of the results computed by this case must be checked against
# results from the IAEA benchmark. The best way to do this is to compare
# results with information in the JNM article.
#
initial_fuel_density = 10810.0
[GlobalParams]
density = ${initial_fuel_density} # kg/m^3
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 2.485e-4 3.425e-4 3.425e-4 3.835e-4 4.195e-4 4.595e-4'
mesh_density = '6 6 0 6 8 6'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 1608.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 1.1135e20 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[IPyC_OPyC]
block = 'IPyC OPyC'
strain = finite
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[rest]
block = 'fuel buffer SiC'
strain = finite
eigenstrain_names = thermal_strain
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
energy_per_fission = 3.2e-11 # units of J/fission
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released co_production' # coupling to postprocessors which supply the fission gas addition, co addition
released_fractions = '0.153 0.847;
1'
released_gas_types = 'Kr Xe;
CO'
tangential_tolerance = 1e-6
# contact_pressure_input = 10e6
# quadrature = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1608.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = volumeGas # coupling to post processor to get gas volume
material_input = 'fis_gas_released co_production' # coupling to post processor to get fission gas added, co added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 2.37417e18 # n/m^2-sec
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1608.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1608.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1608.0
eigenstrain_name = thermal_strain
temperature = temperature
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temperature
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temperature]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000 #kg/m^3
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temperature]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0 # J/m-s-K
specific_heat = 720.0 # J/kg-K
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0 # kg/m^3
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temperature]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9 # J/m-s-K
specific_heat = 620.0 # J/kg-K
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0 # kg/m^3
block = SiC
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 3.032e7
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temperature
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
exodus = true
csv = true
perf_graph = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BEN013/BEN013.i)
################################################################################
#
# Description: Calvert Cliffs BEN013
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BEN013_power.csv
# axial peaking factor file BEN013_axial_peaking.csv
# flux boundary condition file BEN013_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07 #94.882 %TD Assume TD = 10972.65 kg/cm3
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.28581
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BEN013_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BEN013_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177922434 177922794'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177922434 177922794'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BEN013_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177922794
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
# execute_on = 'FINAL'
sync_times = '3600 7200 10800 14400 177922434 177922794'
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(examples/2D-RZ_rodlet_10pellets/smeared_smallStrain/Smeared_smallStrain.i)
# Model is of a 10 pellet stack of smeared fuel (pellet_type_2).
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ../smeared.e
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temp]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ../powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ../peakingfactors12.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = true
strain = SMALL
incremental = true
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = SMALL
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent
a_upper = 0.12184 # mesh dependent
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
quadrature = true
contact_pressure = contact_pressure
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
use_displaced_mesh = false
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
use_displaced_mesh = false
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.948e-2 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_1
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160.0e-6
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal] # general thermal property input
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[centerline_temp]
type = AxisymmetricCenterlineAverageValue
boundary = 12
variable = temp
execute_on = linear
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[mid_penetration]
type = NodalVariableValue
nodeid = 584 # mesh dependent, at (0.0041, 0.0546333)
variable = penetration
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temp
nodeid = 584 # mesh dependent, at (0.0041, 0.0546333)
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[center_vonMises_fuel]
type = ElementalVariableValue
elementid = 165 # mesh dependent
variable = vonmises_stress
[]
[center_hoop_clad]
type = ElementalVariableValue
elementid = 425 # mesh dependent
variable = stress_zz
[]
[center_effective_creep_strain_inner]
type = ElementalVariableValue
elementid = 425 # mesh dependent
variable = effective_creep_strain
[]
[center_effective_creep_strain_outer]
type = ElementalVariableValue
elementid = 422 # mesh dependent
variable = effective_creep_strain
[]
[effective_creep_strain]
type = ElementAverageValue
variable = effective_creep_strain
[]
[center_effective_creep_rate_inner]
type = ElementalVariableValue
elementid = 425 # mesh dependent
variable = creep_strain_rate
[]
[center_effective_creep_rate_outer]
type = ElementalVariableValue
elementid = 422 # mesh dependent
variable = creep_strain_rate
[]
[effective_creep_strain_rate]
type = ElementAverageValue
variable = creep_strain_rate
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'tm_clad_radial_displacement'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'tm_fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[tm_clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[tm_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(test/tests/fission_rate/meta.i)
#This test reads the FIPD pin design geometry of X447/DP11 and generates a metadata `pellet_radius`.
#The `pellet_radius` is used by `FissionRate` to convert power into fission rate without AD.
[Problem]
solve = false
[]
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ../fipd_rodlet_mesh_generator/fipd_pin_design/DP11_design.csv
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 4
cladding_sidewall_axial_element_numbers = '2 20 20'
cladding_top_plug_radial_elements = 4
cladding_top_plug_axial_elements = 2
cladding_bottom_plug_radial_elements = 4
cladding_bottom_plug_axial_elements = 2
fuel_radial_elements = 4
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '20'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[AuxVariables]
[temperature]
[]
[]
[AuxKernels]
[temperature_aux]
type = FunctionAux
variable = temperature
function = '100 + 10000 * x'
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.1715 0.3429'
y = '0.9 1.1 0.9'
[]
[]
[Materials]
[fission_rate]
type = FissionRate
rod_linear_power = power_profile
axial_power_profile = axial_profile
energy_per_fission = 100
use_metadata = true
mesh_generator = gen
mesh_property_name = fuel_radius
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
num_steps = 5
[]
[Postprocessors]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[integral_fission_rate]
type = ElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[integral_power]
type = ElementIntegralPower
variable = temperature
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[]
[Outputs]
csv = true
[]
(test/tests/triso_failure/ad_triso_1d_ipyc_weibull_probability.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '5 3 0 5 3 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
[]
[]
[Variables]
[temperature]
initial_condition = 900
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1363350801.3058'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 7017 -2.368e8'
polynomial_coefficients_SiC = '1 1.492e4 -3.802e7'
polynomial_coefficients_OPyC = '1 -1.273e4 1.849e8'
correlation_factor = -1.1824630660785265
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1086690814.283'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -2070 3.458e7'
polynomial_coefficients_SiC = '1 -868.9 -1.368e7'
polynomial_coefficients_OPyC = '1 1734 -1.988e7'
correlation_factor = 1.0626986695756293
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -856 1.593e7'
polynomial_coefficients_SiC = '1 1774 -5.253e7'
polynomial_coefficients_OPyC = '1 456.4 -1.459e7'
correlation_factor = 1.0113764663823708
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADNeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = ADMaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = ADMaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = ADMaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = ADMaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
use_automatic_differentiation = true
[]
[]
[BCs]
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = ADDirichletBC
variable = temperature
value = 900
boundary = exterior
[]
[exterior_pressure_x]
type = ADPressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[fission_rate]
type = ADGenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = ADTRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = ADUCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = ADUCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ADComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = ADUCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = ADUCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = ADBaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = ADBaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = ADBufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = ADBufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = ADBufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = ADStrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = ADBufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = ADBufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = ADPyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = ADPyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = ADHeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = ADGenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = ADPyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = ADPyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = ADMonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ADComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = ADMonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = ADStrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = ADPyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = ADPyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = ADHeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = ADGenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = ADPyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = ADPyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = ADGenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = ADPyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ADElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = ADVoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = ADVoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ADElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ADElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[weibull_failure_probability_IPyC]
type = ADWeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = ADWeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[weibull_failure_probability_SiC]
type = ADWeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[]
[Outputs]
show = 'weibull_failure_probability_IPyC weibull_failure_probability_SiC weibull_failure_probability_SiC_crackedIPyC'
print_linear_residuals = false
time_step_interval = 1
csv = true
exodus = false
perf_graph = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(examples/TRISO/correlation_function/h_asphericity/triso_asphericity.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = True
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = mesh
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementalVariableValue
elementid = 6300
variable = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(examples/NuclearMaterialActions/TRISO/full_particle_action.i)
initial_fuel_density = 10810.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = full_particle.e
[]
[]
[AuxVariables]
[grain_radius]
initial_condition = 5.0e-6
[]
[]
[Functions]
[fast_neutron_flux]
type = ParsedFunction
expression = 1.708707e18
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19
[]
[]
[AuxKernels]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 15
secondary = 17
penalty = 1e5
model = frictionless
formulation = penalty
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 15
secondary = 17
initial_moles = initial_moles
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = yzero
value = 0.0
[]
[freesurf_temperature]
type = DirichletBC
variable = temperature
boundary = exterior
value = 1346
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[exterior_pressure_y]
type = Pressure
variable = disp_y
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = 'PyCGapBndry BufferGapBndry'
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[NuclearMaterials]
fission_operation = 'Normal'
physics = 'Thermal Mechanics'
initial_temperature = 1346.0
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz
strain_xx strain_yy strain_zz stress_xy stress_yz stress_xz strain_xy
strain_yz strain_xz'
add_variables = true
stress_free_temperature = 1346.0
[ParticleFuel]
[UO2]
block = fuel
fuel_type = 'UO2'
youngs_modulus = 2.0e8
poissons_ratio = 0.345
particle_fuel_models = 'Burnup ThermalExpansion'
fission_rate_function = fission_rate
flux_factor = 1.708707e18
initial_density = 10810.0
average_grain_radius = 5e-6
initial_porosity = 0.0
[]
[]
[ParticleLayers]
fuel_type = 'UO2'
stress_free_temperature = 1346.0
[SiC]
[SiC_layer]
block = SiC
layers_models = 'ThermalExpansion IrradiationGrowth'
initial_density = 3200.0
youngs_modulus = 3.7e11
poissons_ratio = 0.13
thermal_conductivity = 13.9
specific_heat = 620.0
thermal_expansion_coeff = 4.9e-06
thermal_conductivity_model = miller
[]
[]
[IPyC]
[IPyC_layer]
block = IPyC
layers_models = 'Creep ThermalExpansion IrradiationGrowth'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
initial_density = 1880.0
thermal_conductivity = 4.0
specific_heat = 720.0
thermal_expansion_coeff = 5.5e-06
[]
[]
[OPyC]
[OPyC_layer]
block = OPyC
layers_models = 'Creep ThermalExpansion IrradiationGrowth'
poissons_ratio = 0.33
youngs_modulus = 3.96e10
initial_density = 1880.0
thermal_expansion_coeff = 5.5e-6
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[]
[Buffer]
[Buffer_layer]
block = buffer
layers_models = 'ThermalExpansion IrradiationGrowth'
thermal_conductivity = 0.5
thermal_expansion_coeff = 5.5e-06
specific_heat = 720.0
youngs_modulus = 2.0e8
poissons_ratio = 0.345
initial_density = 1000.0
[]
[]
[]
[]
[Dampers]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 20
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
end_time = 3.10176e7
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 10
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[max_xx_IPyC]
type = ElementExtremeValue
variable = stress_xx
block = IPyC
[]
[max_yy_IPyC]
type = ElementExtremeValue
variable = stress_yy
block = IPyC
[]
[min_zz_IPyC]
type = ElementExtremeValue
variable = stress_zz
block = IPyC
value_type = min
[]
[max_xx_SiC]
type = ElementExtremeValue
variable = stress_xx
block = SiC
[]
[max_yy_SiC]
type = ElementExtremeValue
variable = stress_yy
block = SiC
[]
[min_zz_SiC]
type = ElementExtremeValue
variable = stress_zz
block = SiC
value_type = min
[]
[max_xx_OPyC]
type = ElementExtremeValue
variable = stress_xx
block = OPyC
[]
[max_yy_OPyC]
type = ElementExtremeValue
variable = stress_yy
block = OPyC
[]
[min_zz_OPyC]
type = ElementExtremeValue
variable = stress_zz
block = OPyC
value_type = min
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'initial linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
execute_on = 'initial linear'
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
execute_on = 'initial TIMESTEP_END'
[]
[volumeFuel]
type = InternalVolume
boundary = fuel
execute_on = 'initial TIMESTEP_END'
[]
[volumeGas]
type = InternalVolume
boundary = BufferGapVol
addition = -5.53e-11
execute_on = 'initial TIMESTEP_END'
[]
[volumeBufferShell]
type = InternalVolume
boundary = BufferGapVol
execute_on = 'initial TIMESTEP_END'
[]
[ave_temp_interior]
type = SideAverageValue
boundary = BufferGapVol
variable = temperature
execute_on = 'INITIAL TIMESTEP_END'
[]
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'INITIAL TIMESTEP_END'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'INITIAL TIMESTEP_END'
[]
[avg_surface_temperature]
type = SideAverageValue
variable = temperature
boundary = exterior
execute_on = 'INITIAL TIMESTEP_END'
[]
[time_int_surf_temperature]
type = TimeIntegratedPostprocessor
value = avg_surface_temperature
execute_on = 'INITIAL TIMESTEP_END'
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temperature
initial_enrichment = 0.14029
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[chkfile]
type = CSV
execute_on = Final
show = 'max_xx_IPyC max_yy_IPyC min_zz_IPyC max_xx_SiC max_yy_SiC min_zz_SiC co_production fis_gas_released avg_surface_temperature'
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_D/x441_grp_D.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_F/x441_grp_F.i)
initial_fuel_density = 15800.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
pellet_height = ${pellet_height}
clad_top_gap_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
bottom_clad_height = ${top_bot_clad_height}
top_clad_height = ${top_bot_clad_height}
clad_bot_gap_height = 0.2e-3 # arbitrary
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = ${ny_cu}
ny_cl = ${ny_cl}
pellet_quantity = 1
elem_type = QUAD8
[]
# mesh options
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[cdf_amount]
boundary = 2
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 2
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = pellet
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = pellet
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = pellet
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
temperature = temp
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
boundary = '1 2 3'
method = cdf_long
temperature = temp
hoop_stress = stress_zz # Since 2D-RZ
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 10
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = clad
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = pellet
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
addition = ${gas_addition}
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = pellet
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = pellet
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'all_pellet_exterior'
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'clad_outside_top clad_outside_right'
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[clad_total_hoop_strain]
type = LineValueSampler
variable = total_hoop_strain
start_point = '2.90e-3 2.55e-3 0.0'
end_point = '2.90e-3 0.725 0.0'
num_points = 300
sort_by = y
outputs = 'vec6'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 42000400'
file_base = x441_${group_name}_nominal
[out2]
type = CSV
file_base = x441_${group_name}_nominal_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_nominal_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_fuel_elongation max_clad_elongation max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_nominal_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_nominal_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_nominal_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_nominal_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_nominal_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_nominal_vec5
execute_on = 'FINAL'
[]
[vec6]
type = CSV
file_base = x441_${group_name}_nominal_vec6
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_nominal_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/fission_rate/ad_meta.i)
#This test reads the FIPD pin design geometry of X447/DP11 and generates a metadata `pellet_radius`.
#The `pellet_radius` is used by `ADFissionRate` to convert power into fission rate using AD.
[Problem]
solve = false
[]
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ../fipd_rodlet_mesh_generator/fipd_pin_design/DP11_design.csv
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 4
cladding_sidewall_axial_element_numbers = '2 20 20'
cladding_top_plug_radial_elements = 4
cladding_top_plug_axial_elements = 2
cladding_bottom_plug_radial_elements = 4
cladding_bottom_plug_axial_elements = 2
fuel_radial_elements = 4
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '20'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[AuxVariables]
[temperature]
[]
[]
[AuxKernels]
[temperature_aux]
type = FunctionAux
variable = temperature
function = '100 + 10000 * x'
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '0 2 3 4 5'
y = '0 100 80 90 0'
[]
[axial_profile]
type = PiecewiseLinear
axis = y
x = '0 0.1715 0.3429'
y = '0.9 1.1 0.9'
[]
[]
[Materials]
[fission_rate]
type = ADFissionRate
rod_linear_power = power_profile
axial_power_profile = axial_profile
energy_per_fission = 100
use_metadata = true
mesh_generator = gen
mesh_property_name = fuel_radius
outputs = all
output_properties = fission_rate
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
num_steps = 5
[]
[Postprocessors]
[fission_rate]
type = PointValue
variable = fission_rate
point = '0.00055 0.15 0'
[]
[linear_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = power_profile
[]
[axial_power]
type = FunctionValuePostprocessor
point = '0.00055 0.15 0'
function = axial_profile
[]
[integral_fission_rate]
type = ADElementIntegralMaterialProperty
mat_prop = fission_rate
[]
[integral_power]
type = ADElementIntegralPower
variable = temperature
energy_per_fission = 100
use_material_fission_rate = true
fission_rate_material = fission_rate
[]
[]
[Outputs]
csv = true
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/cracking/TSQ002_cracking.i)
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = tsq002_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[grain_radius]
block = pellet_type_1
initial_condition = 8.7945e-6 # ((11.6+11.2+11.2+11.1)/4)/2*1.56
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 141798626 141802226' # -100 @ 101326 Pa, 0 to 141798626 @ 15.517 MPa, 141802226 @ 101326 Pa
y = '.00653 1 1 .00653'
[]
[flux]
type = PiecewiseLinear
data_file = TSQ002_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = TSQ002_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
type = PiecewiseBilinear
data_file = TSQ002_clad_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = false
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = false
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
a_lower = 0.00324
a_upper = 3.81705
fuel_outer_radius = 0.0041275
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
penalty = 1e9
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10
initial_moles = initial_moles
primary = 5
gas_released = fission_gas_released
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.517e6
function = pressure_ramp
displacements = 'disp_x disp_y'
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet_type_1
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = 'power_law_softening'
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
prescribed_crack_directions = 'x y z'
output_properties = crack_damage
outputs = exodus
[]
[power_law_softening]
type = PowerLawSoftening
stiffness_reduction = 0.3333
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 8.7945e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.008255
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =0.0001778 #diameteral gap
relocation_activation1 = 5000
burnup_relocation_stop = 0.024
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
initial_porosity = 0.05
burnup = burnup
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 20.0
variable = temp
[]
[jacobian]
type = ElementJacobianDamper
max_increment = 0.1
min_damping = 0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-4
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81381 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
nodeid = 30330 #coords (0.0, 2.10133)
variable = temp
execute_on = 'initial timestep_end'
[]
[FCT_slice4]
type = NodalVariableValue
nodeid = 37085 #coords (0.0, 1.71896)
variable = temp
execute_on = 'initial timestep_end'
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = pellet_type_1
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[gap_slice6]
type = NodalVariableValue
variable = penetration
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[gap_slice4]
type = NodalVariableValue
variable = penetration
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[contact_pressure_slice6]
type = NodalVariableValue
variable = contact_pressure
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[contact_pressure_slice4]
type = NodalVariableValue
variable = contact_pressure
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet_type_1
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(examples/metal_fuel/uzr_densification/ebr2_2d_interpores_densification.i)
# Baseline of U10Zr DP21 pin without bond sodium in 2D.
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
temperature = Temperature
stress_free_temperature = 298.0
tangential_tolerance = 1e-4
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 50
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
[fuel_2d]
type = FuelPinMeshGenerator
clad_thickness = 3.81e-4
pellet_outer_radius = 24.4e-4
pellet_height = 250.0e-4
clad_top_gap_height = 240.0e-4
clad_gap_width = 1.0e-4
bottom_clad_height = 80.0e-4
top_clad_height = 80.0e-4
clad_bot_gap_height = 10.0e-4
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 20
ny_p = 150
nx_c = 4
ny_c = 150
ny_cu = 8
ny_cl = 8
pellet_quantity = 1
elem_type = QUAD4
[]
[]
[Variables]
[Temperature]
initial_condition = 298.0
[]
[]
[AuxVariables]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[energy_density]
order = CONSTANT
family = MONOMIAL
block = pellet
initial_condition = 0.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 109989115 110376000'
y = '0 45000 45000 0' # LHGR (not power density)
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 1.5552e7'
y = '0.151e6 0.151e6'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 2e5 109989115 110376000'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1.0
[]
[engr_radial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_rad / 2.50e-03'
symbol_values = 'max_fuel_radial_disp'
symbol_names = 'fuel_disp_rad'
[]
[engr_axial_strain_fuel]
type = ParsedFunction
expression = 'fuel_disp_axial / 100.0e-3'
symbol_values = 'max_fuel_elongation'
symbol_names = 'fuel_disp_axial'
[]
[fission_rate_scale_factor]
type = ParsedFunction
expression = 1.670784726E+15
# 1/cross_sectional_area_of_fuel/energy_per_fission =
# Remember to remove hole area, when there are some
[]
[fission_history]
type = CompositeFunction
functions = 'power_history fission_rate_scale_factor'
# This converts it to a fission rate density.
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz hoop_stress'
[fuel]
extra_vector_tags = 'ref'
block = pellet
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
additional_generate_output = 'volumetric_strain'
[]
[clad]
extra_vector_tags = 'ref'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
additional_generate_output = 'hoop_creep_strain hoop_elastic_strain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = Temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = Temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = FissionRateHeatSource
variable = Temperature
fission_rate = 'fission_rate'
extra_vector_tags = 'ref'
block = pellet
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[time_integral_fission]
type = VariableTimeIntegrationAux
block = pellet
variable = energy_density
variable_to_integrate = fission_rate
coefficient = 3.2e-11 # energy_per_fission
order = 2
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
normalize_penalty = true
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = Temperature
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = 0.1e-3
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = Temperature
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5000.0 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 0.0069 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
outputs = all
output_properties = 'coolant_temperature coolant_channel_htc'
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = 'fission_rate'
prop_values = fission_history
block = pellet
outputs = all
[]
[burnup]
type = UPuZrBurnup
block = pellet
density = ${initial_fuel_density}
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.225
X_Pu = 0.0
block = pellet
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = pellet
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = pellet
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
eigenstrain_name = fuel_thermal_strain
block = pellet
thermal_expansion_coeff = 1.18e-5
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.3
bubble_number_density = 8.61e17
interconnection_initiating_porosity = 0.26
interconnection_terminating_porosity = 0.28
anisotropic_factor = 0.0
densification = true
outputs = all
output_properties = 'porosity gaseous_porosity'
block = pellet
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = pellet
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = pellet
X_Zr = 0.225
X_Pu = 0.0
spheat_model = savage
thcond_model = lanl
porosity = porosity
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = pellet
critical_porosity = 0.27
fractional_fgr_initial = 0.252
fractional_fgr_post = 0.801
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 3e13 # This was recommended in FastNeutronFluxAux for LHGR
# However, this gives 1.35e18 which is not what AL used
# before of 2.47e19. Not sure which is right.
calculate_fluence = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors # which is just 1
outputs = all
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = Temperature
max_increment = 50
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
end_time = 110376000 # 3.5 years. If need faster run, then 1 year should be fine
dtmin = 10
dtmax = 5e6
num_steps = 5
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 1.54656e7 1.5552e7'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = Temperature
execute_on = 'initial linear'
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = Temperature
[]
[peak_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = Temperature
[]
[peak_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = Temperature
block = clad
[]
[max_clad_temp]
type = ElementExtremeValue
variable = Temperature
value_type = max
block = clad
[]
[peak_clad_temp]
type = TimeExtremeValue
value_type = max
postprocessor = max_clad_temp
[]
[avg_fuel_temp]
type = ElementAverageValue
variable = Temperature
block = pellet
[]
[max_fuel_temp]
type = ElementExtremeValue
variable = Temperature
value_type = max
block = pellet
[]
[peak_fuel_temp]
type = TimeExtremeValue
value_type = max
postprocessor = max_fuel_temp
[]
[peak_coolant_temperature]
type = ElementExtremeValue
variable = coolant_temperature
value_type = max
block = clad
outputs = all
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = pellet
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
[max_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = pellet
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial timestep_end'
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = Temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = Temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = Temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = pellet
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[max_burnup]
type = ElementExtremeValue
value_type = max
block = pellet
variable = burnup
[]
[min_burnup]
type = ElementExtremeValue
value_type = min
block = pellet
variable = burnup
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = pellet
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = pellet
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = pellet
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = pellet
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_rel
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_prod
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[max_fuel_radial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_xx
[]
[max_fuel_axial_strain]
type = ElementExtremeValue
value_type = max
block = pellet
variable = strain_yy
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 11
[]
[max_fuel_radial_disp]
type = NodalExtremeValue
variable = disp_x
boundary = 10
[]
[engr_strain_fuel_radial]
type = FunctionValuePostprocessor
function = engr_radial_strain_fuel
[]
[engr_strain_fuel_axial]
type = FunctionValuePostprocessor
function = engr_axial_strain_fuel
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 3
[]
[etot_bison]
type = ElementIntegralVariablePostprocessor
block = pellet
variable = energy_density
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
color = true
exodus = true
perf_graph = true
csv = true
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y Temperature'
show_var_residual_norms = true
[]
(include/postprocessors/LayeredElementIntegralPowerPostprocessor.h)
/*************************************************/
/* DO NOT MODIFY THIS HEADER */
/* */
/* BISON */
/* */
/* (c) 2015 Battelle Energy Alliance, LLC */
/* ALL RIGHTS RESERVED */
/* */
/* Prepared by Battelle Energy Alliance, LLC */
/* Under Contract No. DE-AC07-05ID14517 */
/* With the U. S. Department of Energy */
/* */
/* See COPYRIGHT for full restrictions */
/*************************************************/
#pragma once
#include "ElementIntegralPower.h"
class LayeredFuelPinGeometry;
/**
* This postprocessor computes an integral of the volumetric fission rate times the energy per
* fission giving the power for Layered1D and Layered2D geometries
*
*/
class LayeredElementIntegralPowerPostprocessor : public ElementIntegralPower
{
public:
static InputParameters validParams();
LayeredElementIntegralPowerPostprocessor(const InputParameters & parameters);
virtual ~LayeredElementIntegralPowerPostprocessor() {}
protected:
virtual Real computeQpIntegral() override;
const LayeredFuelPinGeometry * const _pin_geometry;
};