- eigenstrain_nameMaterial property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator.
C++ Type:std::string
Controllable:No
Description:Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator.
UO2RelocationEigenstrain
Accounts for cracking and relocation of fuel pellet fragments in the radial direction and is necessary for accurate modeling of LWR fuel. The linear heat rate must either be a functionor a variable.
Description
One way to model the effect of UO cracking on gap width is fuel relocation, as done in UO2RelocationEigenstrain. Thermal gradients in a LWR fuel pellet result in corresponding stress gradients that exceed the fuel fracture stress, causing radial cracks. The free surfaces of the crack result in a overall increase of fuel pellet diameter, and we can model this effect by applying a radial strain to the fuel pellet. This relocation strain is similar to a volumetric strain, but relocation strain acts only in the radial direction.
Three models are available to account for relocation strain, set by the argument passed to the flag 'relocation_model'. These models are:
ESCORE legacy, and
The ESCORE modified model is the default model in UO2RelocationEigenstrain.
During continued operation, the cladding generally creeps inward and comes into contact with the fuel exerting compressive forces on the pellets. These forces tend to move the fractured sections of the pellet back into their original positions, which is known as relocation recovery. The effects of relocation recovery may be included as described below.
ESCORE modified Relocation model
The modified ESCORE model, ESCORE_modified, is based on the legacy ESCORE model, described below, yet the modified model allows for lower pellet average linear heating rate values than the limits in the legacy model. The lower average linear heating rate of 6kW/ft for the legacy ESCORE model has been observed to be much larger than the average linear heating rate expected to cause cracking in the fuel (Oguma, 1983).
The relation calculating the relocation strain is based on the relocation model from M. A. Kramman (1987), given as (1) This relocation model is a function of power, as-fabricated pellet diameter, as-fabricated gap thickness, and burnup, and the variable definitions are given in Table 1. The model is applicable between pellet average linear heating rates of 1.52 and 22 kW/ft and for burnup levels between 0 and 11,500 MWd/MTU. Mean-diameter measurements were used in the correlation development.
Table 1: Variable Definitions for the Relocation UO Models
| Model Expression | Parameter Description |
|---|---|
| Effective radial strain due to relocation | |
| As-fabricated cold diameter of the pellet (in) | |
| Pellet average linear heating rate (kW/ft) | |
| Pellet average fuel burnup (MWd/MTU) | |
| As-fabricated cold diametral gap (in) |
!alert! note title=Diametral Gap as Fuel Pellet Geometry Parameter The UO2RelocationEigenstrain model uses the diametral gap to determine the spacing between the fuel pellets and clad. The use of the diametral gap measure is in contrast to other BISON classes which use the radial gap measure. !alert-end!
where q is the linear heating rate (kW/m).
Note that the pellet average linear heating rate has units of kW/ft in the empirical model. However, this quantity is passed into the model as a function with units of W/m. The conversion is handled inside the model. The default value for the relocation threshold has been changed from the 19685 W/m (6kW/ft) used in original ESCORE model (M. A. Kramman, 1987) to 5000 W/m (1.52 kW/ft) to better match experimental IFA data (Swiler et al., 2013).
The fuel relocation strain is applied incrementally by calculating the relocation strain at the burnup for the current step and subtracting the relocation strain at the previous burnup. In other applications of this model, the addition of relocation strain is stopped when the gap is closed. In BISON, the relocation strain is stopped at a specified burnup or specified time.
Legacy ESCORE Relocation model
The original ESCORE relocation model, ESCORE_legacy, applies a higher relocation strain threshold value, = 6 kW/ft and a different relation for linear heat rate in the pellet: These values are used in Eq. (1). Because the 6 kW/ft relocation strain threshold associated with this formulation has been determined to be too low, this relation for is retained as a legacy option in the code.
GAPCON Relocation model
It is also possible to use the GAPCON model, GAPCON, for relocation (Lassmann and Blank, 1988). This model is given as The parameters in this model have the same definitions as given in Table 1.
Relocation Recovery model
The effect of relocation recovery is controlled by the parameter model_relocation_recovery which by default is false. If this parameter is set to true, additional parameters must be included in the input to specify the behavior of relocation recovery. The main parameters that a user should set are max_relocation_recovery_fraction which specifies the fraction of the relocation strain applied prior to initial contact of the cladding and fuel that can be recovered, the postprocessor specifying the volumetric swelling increment and the coupled variable for contact pressure. In order to define these inputs, additional blocks in the AuxVariables, AuxKernels and PostProcessors sections will be required. Also, since the contact pressure is layered quantity, a UserObjects block will also need to be included. The regression test referenced below includes all the necessary changes to activate relocation recovery.
Figure 1: An ideal relocation recovery curve: segment 'AB' is the relocation phase, segment 'BC' is the recovery phase and segment 'CD' represents the completion of the relocation recovery process.
Figure 2: Comparison of final diameters determined from various methods.
Figure 1 shows a schematic of the relocation and relocation recovery processes. The relocation phase is ended once contact between the fuel and the cladding is detected and the maximum value of the relocation strain is established. Thereafter, as long as contact is maintained recovery is active until the max_relocation_recovery_fraction has been recovered. If the cladding comes out of contact with the fuel prior to the maximum being recovered, the recovery process is stopped until contact is reestablished. However, once the maximum fraction of the relocation strain has been recovered, no further recovery is possible. Figure 2 illustrates the effects of relocation recovery on the cladding diameter at the end of a typical base irradiation. As one can see, without including relocation recovery the cladding diameter is overestimated.
Example Input Syntax
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[relocation]
type = UO2RelocationEigenstrain<<<{"description": "Accounts for cracking and relocation of fuel pellet fragments in the radial direction and is necessary for accurate modeling of LWR fuel. The linear heat rate must either be a functionor a variable.", "href": "UO2RelocationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 1
burnup<<<{"description": "Coupled Burnup variable in FIMA"}>>> = burnup
diameter<<<{"description": "As fabricated cold diameter of pellet in meters"}>>> = 0.00254
rod_ave_lin_pow<<<{"description": "linear power function."}>>> = q
diametral_gap<<<{"description": "As fabricated cold diametral pellet-cladding gap in meters."}>>> = 0.0000254
burnup_relocation_stop<<<{"description": "Burnup at which relocation strain stops (in FIMA)"}>>> = 1.0e12
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = relocation_eigenstrain
relocation_activation1<<<{"description": "First activation linear power in W/m term in relocation model"}>>> = 19685.039
relocation_model<<<{"description": "Type of relocation model formulation."}>>> = ESCORE_legacy
[]
[]The eigenstrain name must also be passed to the strain calculator, and an example parameter setting is shown below:
[Physics<<<{"href": "../../../syntax/Physics/index.html"}>>>]
[SolidMechanics<<<{"href": "../../../syntax/Physics/SolidMechanics/index.html"}>>>]
[QuasiStatic<<<{"href": "../../../syntax/Physics/SolidMechanics/QuasiStatic/index.html"}>>>]
[all]
strain<<<{"description": "Strain formulation"}>>> = finite
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = relocation_eigenstrain
[]
[]
[]
[]The additional parameters required for using relocation recovery are illustrated in the example below:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[fuel_relocation]
type = UO2RelocationEigenstrain<<<{"description": "Accounts for cracking and relocation of fuel pellet fragments in the radial direction and is necessary for accurate modeling of LWR fuel. The linear heat rate must either be a functionor a variable.", "href": "UO2RelocationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = pellet
burnup_function<<<{"description": "Burnup function"}>>> = burnup
rod_ave_lin_pow<<<{"description": "linear power function."}>>> = power_history
axial_power_profile<<<{"description": "axial power peaking function."}>>> = axial_peaking_factors
burnup_relocation_stop<<<{"description": "Burnup at which relocation strain stops (in FIMA)"}>>> = 1e12
relocation_activation1<<<{"description": "First activation linear power in W/m term in relocation model"}>>> = 5000
relocation_model<<<{"description": "Type of relocation model formulation."}>>> = ESCORE_modified
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = fuel_relocation_strain
fuel_pin_geometry<<<{"description": "Name of the UserObject that reads the pin geometry from the mesh."}>>> = pin_geometry
model_relocation_recovery<<<{"description": "option to turn on the modeling of relocation recovery"}>>> = true
max_relocation_recovery_fraction<<<{"description": "Maximum fraction of relocation strain that can be recovered"}>>> = 0.5
relocation_scaling_factor<<<{"description": "A scaling factor for the diametral scalar effective relocation strain"}>>> = 1
volumetric_swelling_increment<<<{"description": "The name of the postprocessor used for computing the volumetric swelling strain increment which controls the recovery strain during relocation recovery"}>>> = vol_swell_increment
layered_average_contact_pressure<<<{"description": "Coupled contact pressure variable"}>>> = layered_average_contact_pressure
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = all
output_properties<<<{"description": "List of material properties, from this material, to output (outputs must also be defined to an output type)"}>>> = 'relocation_strain recovered_relocation_strain'
[]
[]Input Parameters
- axial_directionyCoordinate axis of the axial direction of the fuel stack (0, 1, or 2 for x, y, or z
Default:y
C++ Type:MooseEnum
Options:x, y, z
Controllable:No
Description:Coordinate axis of the axial direction of the fuel stack (0, 1, or 2 for x, y, or z
- axial_power_profileaxial power peaking function.
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:axial power peaking function.
- base_nameOptional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
- 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
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- burnupCoupled Burnup variable in FIMA
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled Burnup variable in FIMA
- burnup_functionBurnup function
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Burnup function
- burnup_relocation_stop1e+12Burnup at which relocation strain stops (in FIMA)
Default:1e+12
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Burnup at which relocation strain stops (in FIMA)
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- contact_recovered_relocation_strain0.001The amount of recovered relocation strain in the hard pellet cladding contact
Default:0.001
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The amount of recovered relocation strain in the hard pellet cladding contact
- declare_suffixAn optional suffix parameter that can be appended to any declared 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 declared properties. The suffix will be prepended with a '_' character.
- diameterAs fabricated cold diameter of pellet in meters
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:As fabricated cold diameter of pellet in meters
- diametral_gapAs fabricated cold diametral pellet-cladding gap in meters.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:As fabricated cold diametral pellet-cladding gap in meters.
- fuel_pin_geometryName of the UserObject that reads the pin geometry from the mesh.
C++ Type:UserObjectName
Controllable:No
Description:Name of the UserObject that reads the pin geometry from the mesh.
- layered_average_contact_pressureCoupled contact pressure variable
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled contact pressure variable
- linear_heat_rate_variableVariable holding the average linear heating rate in pellet in W/m
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Variable holding the average linear heating rate in pellet in W/m
- max_relocation_recovery_fraction0Maximum fraction of relocation strain that can be recovered
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Maximum fraction of relocation strain that can be recovered
- model_relocation_recoveryFalseoption to turn on the modeling of relocation recovery
Default:False
C++ Type:bool
Controllable:No
Description:option to turn on the modeling of relocation recovery
- relocation_activation15000First activation linear power in W/m term in relocation model
Default:5000
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:First activation linear power in W/m term in relocation model
- relocation_activation245931.8Second activation linear power in W/m term in relocation model; The linear power at which relocation transitions from the initial regime to the secondary regime.
Default:45931.8
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Second activation linear power in W/m term in relocation model; The linear power at which relocation transitions from the initial regime to the secondary regime.
- relocation_activation332808.4Third activation linear power in W/m term in relocation model; The linear power offset in the secondary regime.
Default:32808.4
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Third activation linear power in W/m term in relocation model; The linear power offset in the secondary regime.
- relocation_modelESCORE_modifiedType of relocation model formulation.
Default:ESCORE_modified
C++ Type:MooseEnum
Options:ESCORE_modified, ESCORE_legacy, GAPCON
Controllable:No
Description:Type of relocation model formulation.
- relocation_scaling_factor1A scaling factor for the diametral scalar effective relocation strain
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:A scaling factor for the diametral scalar effective relocation strain
- rod_ave_lin_powlinear power function.
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:linear power function.
- time_relocation_stop1.79769e+308Time at which relocation strain stops (in seconds)
Default:1.79769e+308
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Time at which relocation strain stops (in seconds)
- volumetric_swelling_incrementThe name of the postprocessor used for computing the volumetric swelling strain increment which controls the recovery strain during relocation recovery
C++ Type:PostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:The name of the postprocessor used for computing the volumetric swelling strain increment which controls the recovery strain during relocation recovery
Optional 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
- 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
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
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
Outputs 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
- (examples/3D_rodlet_3pellets/smeared/smearedTest3D.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL009/BFL009.i)
- (assessment/LWR/validation/Super_Ramp/analysis/Super_Ramp_Base.i)
- (assessment/LWR/validation/IFA_431/analysis/IFA_431_General.i)
- (examples/multiapp/pin2.i)
- (assessment/LWR/validation/IFA_535/analysis/rod_809/IFA_535_rod_809.i)
- (assessment/LWR/validation/Riso_GE7_ZX115/analysis/Riso_GE7_1pt5.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
- (assessment/LWR/validation/HbepR1/analysis/A184/HbepR1_A184.i)
- (examples/1.5D_restart/Smeared_1.5D.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE067/UFE067.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_activation_circle_rz.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/ad_uo2_relocation/relocation_attached_rz.i)
- (assessment/LWR/validation/IFA_681/analysis/rod1/IFA_681_rod1.i)
- (test/tests/fuelrodlinevaluesampler/example_problem_smeared_test.i)
- (workshop/bison_example/Smeared.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_tenslice.i)
- (assessment/LWR/validation/HbepR1/analysis/A364/HbepR1_A364.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/ad_uo2_relocation/relocation_attached_rz_time.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/TSQ002.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/ad_uo2_relocation/jacobian_test.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_uo2.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/REP_Na_4.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
- (assessment/LWR/validation/Tribulation/analysis/BN3X15/BN3X15.i)
- (assessment/LWR/validation/Tribulation/analysis/BN1X4/BN1X4.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ022/TSQ022_1pt5.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2.i)
- (assessment/LWR/validation/IFA_636/analysis/IFA_636_solid_swell/IFA_636_solid_swell.i)
- (assessment/LWR/validation/HBEP/analysis/BK370/HBEP_BK370.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_hundredslice.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM073/BFM073.i)
- (assessment/LWR/validation/FUMEXII_Regate/analysis/Regate_smeared.i)
- (test/tests/example_problem_test/example_problem_test.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/TSQ002_1pt5.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM034/BFM034.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_attached_rz.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/solid_mechanics/uo2_eigenstrains/uo2_relocation/reloc_recov_escore_mod_rz.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2a/27_2a.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle_rz_var.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2b/27_2b.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_cracking/SmearedCracking.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)
- (examples/multiapp/pin1.i)
- (workshop/bison_example/Discrete.i)
- (assessment/LWR/validation/Riso_Base_sub.i)
- (examples/3D_rodlet_3pellets/discrete_half_symm/3d_3pellets.i)
- (assessment/LWR/validation/FUMEXII_Regate/analysis/discrete/Regate_discrete.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/LWR/validation/IFA_535/analysis/rod_810/IFA_535_rod_810.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ022/TSQ022.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_escore_legacy_rz.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle_rz.i)
- (assessment/LWR/validation/OSIRIS_H09/analysis/OSIRIS_H09.i)
- (examples/2D_plane_strain_fretting_wear/fretting-wear-initial-dyn-exc.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2.i)
- (assessment/LWR/validation/IFA_562/analysis/IFA_562_Base.i)
- (examples/3D_rodlet_3pellets/discrete_full/3d_3pellets_mortar.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
- (examples/spent_fuel/full_life_cycle_coarse/discrete.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_escore_mod_rz.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)
- (workshop/bison_example/Discrete_mortar.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL031/BFL031.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_only_smear.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFG092/BFG092.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_vary_q_rz.i)
- (assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_Rodlets_Base.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)
- (assessment/LWR/validation/IFA_681/analysis/rod3/IFA_681_rod3.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_cracking/ADSmearedCracking.i)
- (examples/3D_rodlet_3pellets/discrete_quarter_symm/3d_3pellets_mortar.i)
- (assessment/LWR/validation/IFA_681/analysis/rod2/IFA_681_rod2.i)
- (examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain_mortar_friction/2D_discrete_finiteStrain_mortar_friction.i)
- (examples/temperature_tables/layered1D_cases/1pt5D.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_2d/27_2d.i)
- (examples/3D_rodlet_3pellets/discrete_quarter_symm/3d_3pellets.i)
- (assessment/LWR/validation/IFA_519/analysis/IFA_519_Base.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_one_elem_rz.i)
- (examples/restart/Quad8.i)
- (assessment/LWR/validation/IFA_677/analysis/IFA_677_Base.i)
- (assessment/LWR/validation/IFA_535/analysis/rod_811/IFA_535_rod_811.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/benchmark/AREVA_idealized_case/analysis/AREVA_idealized_case.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE019/UFE019.i)
- (examples/2D-RZ_rodlet_10pellets/quad8/Quad8.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM070/BFM070.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
- (examples/2D-RZ_rodlet_10pellets/2D_discrete_finiteStrain/2D_discrete_finiteStrain.i)
- (examples/1.5D_rodlet_10pellets/1_5D.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_twentyslice.i)
- (assessment/LWR/validation/Super_Ramp/analysis/PK62/PK62_weighted_gap_VCP.i)
- (test/tests/fuelrodlinevaluesampler/example_problem_smeared_test2.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_gapcon_rz.i)
- (examples/2D_plane_strain_fretting_wear/fretting-wear-initial.i)
- (assessment/LWR/validation/IFA_535/analysis/rod_812/IFA_535_rod_812.i)
- (assessment/LWR/validation/IFA_597_3/analysis/rod_8/IFA_597_rod8_frictionless.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/RIA/REP_Na_4_RIA.i)
- (assessment/LWR/validation/IFA_432/analysis/IFA_432_Base.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na/analysis/REP_Na_Base.i)
- (assessment/LWR/validation/IFA_534/analysis/IFA_534_Base.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_fuel_rod.i)
- (assessment/LWR/validation/Tribulation/analysis/BN1X3/BN1X3.i)
- (test/tests/radial_power_factor/twoSlices.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFJ027/BFJ027.i)
- (examples/2D-RZ_rodlet_10pellets/fuel_pin_geometry/fuelpingeo.i)
- (examples/1.5D_rodlet_10pellets/1_5D_friction.i)
- (workshop/bison_example/Smeared_mortar.i)
- (assessment/LWR/validation/OSIRIS_J12/analysis/OSIRIS_J12.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_fortyslice.i)
- (assessment/LWR/validation/HBEP/analysis/BK363/HBEP_BK363.i)
- (assessment/LWR/validation/IFA_636/analysis/IFA_636/IFA_636.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_2/IFA_650_2.i)
- (assessment/LWR/validation/IFA_597_3/analysis/rod_7/IFA_597_rod7_glued.i)
- (examples/2D_plane_strain_rod/planestrain.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BEN013/BEN013.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_smallStrain/Smeared_smallStrain.i)
- (assessment/LWR/validation/IFA_716/analysis/IFA_716_Base.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_attached_rz_time.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/cracking/TSQ002_cracking.i)
References
- K. Lassmann and H. Blank.
Modelling of fuel rod behavior and recent advances of the TRANSURANUS code.
Nuclear Engineering Design, 106:291–313, 1988.[BibTeX]
@ARTICLE{lassmann88, author = "Lassmann, K. and Blank, H.", title = "Modelling of Fuel Rod Behavior and Recent Advances of the {TRANSURANUS} Code", journal = "Nuclear Engineering Design", year = "1988", volume = "106", pages = "291-313" } - Eds. M. A. Kramman, H. R. Freeburn.
Escore–the epri steady-state core reload evaluator code: general description.
Technical Report EPRI NP-5100, Electric Power Research Institute, February 1987.[BibTeX]
@TechReport{kramman87, author = "M. A. Kramman, H. R. Freeburn, Eds.", month = "February", year = "1987", title = "ESCORE--the EPRI steady-state core reload evaluator code: General description", institution = "Electric Power Research Institute", number = "EPRI NP-5100" } - M. Oguma.
Cracking and relocation behavior of nuclear-fuel pellets during rise to power.
Nuclear Engineering and Design, 76(1):35–45, 1983.
doi:10.1016/0029-5493(83)90045-6.[BibTeX]
@article{oguma_1983, author = "Oguma, M.", title = "Cracking and relocation behavior of nuclear-fuel pellets during rise to power", year = "1983", journal = "Nuclear Engineering and Design", volume = "76", number = "1", pages = "35-45", doi = "10.1016/0029-5493(83)90045-6" } - L. P. Swiler, R. L. Williamson, and D. M. Perez.
Calibration of a fuel relocation model in BISON.
In Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering. Sun Valley, Idaho, May 5-9, 2013.[BibTeX]
@inproceedings{swilerMC2013, author = "Swiler, L. P. and Williamson, R. L. and Perez, D. M.", address = "Sun Valley, Idaho", booktitle = "Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering", month = "May 5-9,", title = "Calibration of a Fuel Relocation Model in {BISON}", year = "2013" }
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle.i)
# ---------------------------------------------------------------------------------
#
# This test examines the relocation strain model in an cartesian quarter circle model, using directly
# provided geometry options for the pellet diameter (0.1in) and the clad-pellet gap (0.001in).
# This test is a companion test to the axisymmetric model relocation_circle_rz.i
#
# The test uses the legacy ESCORE model (which activates at averge linear power rates above 6 kW/ft)
# and an initial relocation activation value of 19685.039 kW/m.
#
# The test applies a constant q (8 kW/ft or 26246 W/m) and a burnup function of .12 * time FIMA,
# which varies linearily with time.
#
# With a constant time step increment of 0.1s, the relocation strain increment is
# \frac{\Delta D}{D_o} = 0.8 * (q - q1) * \frac{gap}{diameter} * (0.005 * (0.12 * dt)^{0.3} - 0.2 * diameter + 0.3)
# from the theory manual for the legacy ESCORE model.
#
# Results:
# Time (s) Burnup Value (MWd/MTU) Analytical Relocation Strain (m/m) BISON Relocation Strain (m/m)
# 0.0 0.0 0.002822 0.0 (return before calculation in zeroth step)
# 0.1 11400.0 0.003653 0.003653
# 0.2 22800.0 0.003845 0.003845
# 0.3 34200.0 0.003977 0.003977
# 0.4 45600.0 0.004081 0.004081
# 0.5 57000.0 0.004169 0.004169
# 0.6 68400.0 0.004244 0.004244
# 0.7 79800.0 0.004312 0.004312
#
# In the finite strain simulation, the BISON results match the analytical expected solution for relocation strain
# The values of the total strain differ from the relocation strain values due to the dilatational volumetric strain
# factor applied to the relocation strain when the eigenstrain stored.
# ---------------------------------------------------------------------------------------
[Mesh]
[mesh]
type = FileMeshGenerator
file = quarterCircle.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[q]
type = ParsedFunction
expression = '26246.71916'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[bottom_x]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[bottom_z]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[relocation]
type = UO2RelocationEigenstrain
block = 1
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 19685.039
relocation_model = ESCORE_legacy
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 0.7
[]
[Postprocessors]
[relocation_strain_ave]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr_ave]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr_ave]
type = ElementAverageValue
variable = total_strain_rr
[]
[disp_x_2]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_z_2]
type = NodalVariableValue
nodeid = 2
variable = disp_z
[]
[]
[Outputs]
exodus = true
file_base = relocation_circle_out
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle.i)
# ---------------------------------------------------------------------------------
#
# This test examines the relocation strain model in an cartesian quarter circle model, using directly
# provided geometry options for the pellet diameter (0.1in) and the clad-pellet gap (0.001in).
# This test is a companion test to the axisymmetric model relocation_circle_rz.i
#
# The test uses the legacy ESCORE model (which activates at averge linear power rates above 6 kW/ft)
# and an initial relocation activation value of 19685.039 kW/m.
#
# The test applies a constant q (8 kW/ft or 26246 W/m) and a burnup function of .12 * time FIMA,
# which varies linearily with time.
#
# With a constant time step increment of 0.1s, the relocation strain increment is
# \frac{\Delta D}{D_o} = 0.8 * (q - q1) * \frac{gap}{diameter} * (0.005 * (0.12 * dt)^{0.3} - 0.2 * diameter + 0.3)
# from the theory manual for the legacy ESCORE model.
#
# Results:
# Time (s) Burnup Value (MWd/MTU) Analytical Relocation Strain (m/m) BISON Relocation Strain (m/m)
# 0.0 0.0 0.002822 0.0 (return before calculation in zeroth step)
# 0.1 11400.0 0.003653 0.003653
# 0.2 22800.0 0.003845 0.003845
# 0.3 34200.0 0.003977 0.003977
# 0.4 45600.0 0.004081 0.004081
# 0.5 57000.0 0.004169 0.004169
# 0.6 68400.0 0.004244 0.004244
# 0.7 79800.0 0.004312 0.004312
#
# In the finite strain simulation, the BISON results match the analytical expected solution for relocation strain
# The values of the total strain differ from the relocation strain values due to the dilatational volumetric strain
# factor applied to the relocation strain when the eigenstrain stored.
# ---------------------------------------------------------------------------------------
[Mesh]
[mesh]
type = FileMeshGenerator
file = quarterCircle.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[q]
type = ParsedFunction
expression = '26246.71916'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[bottom_x]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[bottom_z]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[relocation]
type = UO2RelocationEigenstrain
block = 1
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 19685.039
relocation_model = ESCORE_legacy
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 0.7
[]
[Postprocessors]
[relocation_strain_ave]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr_ave]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr_ave]
type = ElementAverageValue
variable = total_strain_rr
[]
[disp_x_2]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_z_2]
type = NodalVariableValue
nodeid = 2
variable = disp_z
[]
[]
[Outputs]
exodus = true
file_base = relocation_circle_out
[]
(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'
# []
[]
(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/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
[]
[]
(assessment/LWR/validation/IFA_431/analysis/IFA_431_General.i)
# This is a partial input file base with information/features common to all the fuel rods in this assessment with
# no action option.
# 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
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
# Relocation
relocation_activation1 = 5000 # W/m
[GlobalParams]
volumetric_locking_correction = false
[]
[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}
[]
[]
# 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
[]
[]
[Burnup]
[burnup]
block = '3 4 5'
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factor
num_radial = 81
num_axial = 21
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.1 .9 0 0 0 0'
RPF = RPF
[]
[]
[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
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factor
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
burnup_relocation_stop = ${burnup_relocation_stop}
relocation_activation1 = ${relocation_activation1}
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}
#incremental_form = true
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
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
[]
(examples/multiapp/pin2.i)
## In this example the multiapp system is called to run another BISON simulation.
## (input1.i calls input2.i) An application of this might be multiple fuel pins
## in an assembly. This example also demonstrates the internal mesh maker.
initial_fuel_density = 10200
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
a_lower = 0.06951
a_upper = 3.72711
initial_porosity = 0.04
[]
# ==================================================== #
# Mesh (and Geometry, internally-meshed)
# ==================================================== #
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
clad_thickness = 0.0005
pellet_outer_radius = 0.0041
clad_bot_gap_height = 0.00152
clad_top_gap_height = 0.16
pellet_quantity = 1
pellet_height = 3.6576
clad_gap_width = 8.0e-05
bottom_clad_height = 0.0167
top_clad_height = 0.0167
nx_p = 6 # number of radial elements in the fuel
ny_p = 48 # number of axial elements in the fuel
nx_c = 3 # number of elements in the clad thickness
ny_c = 48 # number of elements in the axially in the clad
ny_cu = 1
ny_cl = 1
intervals = '0.03866 0.08211 0.08211 0.08211 0.08212 0.08211 0.08211 0.08211 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.079212 0.079212 0.079212 0.079212 0.079212'
elem_type = QUAD4
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 10
patch_update_strategy = auto
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 493
[]
# ==================================================== #
# Dimensions and Primary Variables
# ==================================================== #
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 3.000000e+02
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
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 = 1
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'
[]
[]
# ==================================================== #
# Auxiliary Variables
# ==================================================== #
[AuxVariables]
# ================================================== #
# Nodal Quantities
# ================================================== #
[htcl]
initial_condition = 500.0
[]
[htcv]
initial_condition = 0.0
[]
[Tl]
initial_condition = 565.0
[]
[Tv]
initial_condition = 565.0
[]
[burnup]
block = 3
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.240000e-06
[]
# ================================================== #
# Constant Monomial Quantities (Non-Mechanics)
# ================================================== #
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[axial_fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[axial_burnup]
order = CONSTANT
family = MONOMIAL
[]
[axial_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.04
[]
[]
# ==================================================== #
# Time- and Space-Dependent Source and BCs
# ==================================================== #
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
x = '-100 0 5000'
y = '0 0 25000'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_temperature]
type = PiecewiseLinear
x = '-100 0'
y = '293 565'
axis = y
[]
[coolant_pressure_ramp]
# used in coolantPressure BC
type = PiecewiseLinear
scale_factor = 1
x = '0 10000.0'
y = '0 1.0'
[]
[]
# ==================================================== #
# Burnup Equation Set
# ==================================================== #
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
isotopes = 'U235 U238'
isotope_fractions = '3.100e-02 9.690e-01'
RPF = RPF
[]
[]
# ==================================================== #
# Primary Kernels used in Heat Transfer
# ==================================================== #
[Kernels]
[gravity]
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]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
extra_vector_tags = 'ref'
block = 3
[]
[]
[AuxKernels]
# ================================================== #
# Pre-Defined Types
# ================================================== #
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
factor = 1.27e+14 # (n/m2-s per W/m)
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 = linear
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
execute_on = linear
[]
# ================================================== #
# Other General Types
# ================================================== #
[axial_burnup]
type = SpatialUserObjectAux
block = 3
variable = axial_burnup
user_object = axial_burnup
execute_on = timestep_begin
[]
[axial_temperature]
type = SpatialUserObjectAux
block = 3
variable = axial_temperature
user_object = axial_temperature
execute_on = timestep_begin
[]
[]
# ==================================================== #
# Mechanical and Thermal Contact
# ==================================================== #
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
normal_smoothing_distance = 0.1
model = frictionless
formulation = Kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_coef = 3.200000e+00
roughness_primary = 1.8e-06
roughness_secondary = 8e-07
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
tangential_tolerance = 0.0001
normal_smoothing_distance = 0.1
order = FIRST
[]
[]
[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
[]
[convective_clad_surface_bottom]
type = ConvectiveFluxBC
boundary = '1 2 3'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 565.0
final = 585.0
duration = 1.0e4 #duration of initial power ramp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.55132e+07
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 1.99948e+06
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
# ==================================================== #
# Specification of Material Properties
# ==================================================== #
[Materials]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = 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 = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
diameter = 0.008192
diametral_gap =0.000168
# Average burnup at which fuel comes into contact with clad at 25kW/m
burnup_relocation_stop = 0.0315
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10200.0
eigenstrain_name = fuel_volumetric_strain
total_densification = 0.01
[]
[fission_gas_release]
type = UO2Sifgrs
axial_power_profile = axial_peaking_factors
block = 3
burnup = burnup
fission_rate = fission_rate
hydrostatic_stress = hydrostatic_stress
grain_radius = grain_radius
pellet_brittle_zone = pbz
pellet_id = pellet_id
rod_ave_lin_pow = linear_heat_rate_profile
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[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 = 7833
[]
[]
# ==================================================== #
# User Objects for Output Processing
# ==================================================== #
[UserObjects]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.0041
number_pellets = 1
execute_on = linear
[]
[averagefissionrate]
type = LayeredAverage
block = 3
variable = fission_rate
direction = y
num_layers = 49
execute_on = timestep_begin
[]
[average_temp]
type = LayeredAverage
block = 3
variable = temp
direction = y
num_layers = 49
execute_on = timestep_begin
[]
[averagebu]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 49
execute_on = timestep_begin
[]
[casl_average_fission_rate]
variable = fission_rate
type = LayeredAverage
block = 3
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[surface_temp]
type = LayeredSideAverage
boundary = 2
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
use_displaced_mesh = 0
execute_on = timestep_begin
[]
[axial_temperature]
type = LayeredAverage
block = 3
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[axial_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[integral_temperature]
type = LayeredAverage
block = 3
variable = temp
direction = y
num_layers = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
execute_on = timestep_begin
[]
[average]
type = LayeredAverage
block = 3
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[axial_surface_temperature]
type = LayeredSideAverage
boundary = 2
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
use_displaced_mesh = 0
execute_on = timestep_begin
[]
[rod_avg_fast_fluence]
type = LayeredSideAverage
boundary = 2
variable = fast_neutron_fluence
direction = y
num_layers = 1
use_displaced_mesh = 0
execute_on = timestep_begin
[]
[casl_clad_surface_heat_flux]
type = LayeredSideDiffusiveFluxAverage
variable = temp
boundary = 2
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
diffusivity = thermal_conductivity
execute_on = timestep_begin
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 293
[]
[]
# ==================================================== #
# Solver Options
# ==================================================== #
[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'
verbose = true
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-6
nl_abs_tol = 1e-10
# ================================================== #
# Time Step Control
# ================================================== #
start_time = -100
end_time = 5e6
dtmin = 0.1
dtmax = 1e6
dt = 10
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
optimal_iterations = 1000
time_t = '0 1.0e4 53200 1.0e5'
time_dt = '1.0e3 1.0e3 1.0e3 1.0e5'
[]
[]
[Postprocessors]
# ================================================== #
# Required for Fission Gas Release Models
# ================================================== #
[ave_temp_interior]
# used to compute temperature of plenum
type = SideAverageValue
boundary = 9
variable = temp
outputs = exodus
execute_on = 'initial linear'
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 3
outputs = exodus
execute_on = linear
[]
[gas_volume]
type = InternalVolume
boundary = 9
outputs = exodus
execute_on = 'initial linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
execute_on = linear
[]
[_dt]
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
[]
[]
# ==================================================== #
# Location and format of output
# ==================================================== #
[Outputs]
perf_graph = true
exodus = true
file_base = pin2_output
time_step_interval = 1
[console]
type = Console
max_rows = 25
output_linear = true
[]
[]
(assessment/LWR/validation/IFA_535/analysis/rod_809/IFA_535_rod_809.i)
initial_fuel_density = 10398.06
[GlobalParams]
density = ${initial_fuel_density} #Assuming 10980 as the theoretical density
displacements = 'disp_x disp_y'
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
patch_size = 20 # 50
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = ifa535_rod809.e
[]
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
block = 'pellet_type_1'
initial_condition = 9.36e-6 # 2D grain radius 6um
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ifa535_809_power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ifa535_809_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
x = '-100 0 226494828 226496628 226498428 226516428 233159868 233159888'
y = ' 0.0303 1 1 0.0303 0.0303 1 1 0.0303'
[]
[flux] # reads and interpolates input data defining fast neutron flux
type = PiecewiseLinear
data_file = ifa535_809_fast_flux.csv
format = columns
[]
[clad_temp_bc]
type = PiecewiseLinear
data_file = ifa535_809_clad_bc.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
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
incremental = true
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
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'
[]
[]
# 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 = 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 = 'pellet_type_1' # fission rate applied to the fuel (block 2) only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.48724
a_lower = 0.01924
fuel_inner_radius = 0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1
RPF = RPF
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
axial_power_profile = axial_peaking_factors
function = flux
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
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
penalty = 1e9
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
roughness_secondary = 0.81e-6
roughness_primary = 1.0e-6
roughness_coef = 3.2
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 226498428
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 = 20
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 3.2e6
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 = 0.1e6
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
refab_time = 226498428
refab_pressure = 0.7e6
refab_temperature = 449.05
refab_volume = 9.6e-6
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
initial_fuel_density = 10398.06
eigenstrain_name = fuel_volumetric_strain
[]
[density_clad]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6551.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'pellet_type_1'
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[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 = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
diameter = 0.01054 #Fuel pellet diameter in m
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =2.44e-4
burnup_relocation_stop = 0.029
relocation_activation1 = 5000 #initial relocation activation power in W/m
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_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 = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_growth
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
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'
# controls for linear iterations
l_max_its = 60
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
# time control
start_time = -100
end_time = 233159888
dtmax = 5e5
dtmin = 1
# direct control of time steps vs time (optional)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
force_step_every_function_point = true
timestep_limiting_function = power_profile
optimal_iterations = 25
iteration_window = 6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = 'pellet_type_1'
[]
[clad_elong]
type = NodalVariableValue
variable = disp_y
nodeid = 2359 #Global node ID 9739
[]
[input_rod_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
sync_times = 5556726
[console]
type = Console
max_rows = 25
[]
[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/Riso_GE7_ZX115/analysis/Riso_GE7_1pt5.i)
[GlobalParams]
displacements = 'disp_x'
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
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.005205
clad_gap_width = 110.0e-6
clad_thickness = 8.15e-4
fuel_height = 0.74952
plenum_height = 0.15665 # Add volume from below the pellet stack = 0.01494 - 0.00224 = 0.0127
# Nominal plenum height = 0.14395 + 0.0127 = 0.15665
slices_per_block = 10
[]
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temperature]
initial_condition = 293.0 # set initial temperature to ambient
scaling = 1e3
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 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
[]
[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 = riso_ge7_zx115_linear_power.csv
scale_factor = 1
format = columns
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = riso_ge7_zx115_peaking_factors.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 161748936 161756676 161813271 161814651'
y = '.013995 1 1 .994475 .994475 .013995'
[]
[clad_wall_temperature]
type = PiecewiseLinear
data_file = riso_ge7_zx115_clad_temperature.csv
format = columns
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
data_file = riso_ge7_zx115_fast_flux.csv
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 7.24e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics/SolidMechanics/Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress strain_xx strain_xy strain_yy strain_zz'
mesh_generator = layered1D_mesh
extra_vector_tags = 'ref'
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_xx strain_xy strain_yy strain_zz creep_strain_xx creep_strain_xy
creep_strain_yy creep_strain_zz'
mesh_generator = layered1D_mesh
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
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = fuel
density = 10431.0
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.76446
a_lower = 0.01494
fuel_inner_radius = 0
fuel_outer_radius = 0.005205
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
factor = 1
function = fast_neutron_flux_function
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 = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[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 = 1e14
formulation = penalty
normalize_penalty = true
model = frictionless
[]
[]
# 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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
# normal_smoothing_distance = 0.1 # This option is not applicable in 1.5D
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[temperature]
type = FunctionDirichletBC
variable = temperature
boundary = 2
function = clad_wall_temperature
[]
[Pressure]
[coolantPressure]
boundary = 2
factor = 7.24e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.29e6
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temperature
burnup = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.05
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
temperature = temperature
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup = burnup
diameter = 0.01041 # fuel pellet diameter in meters
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap = 220.e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.03 # turn off relocation just before contact
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup = burnup
temperature = temperature
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
temp = temperature
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
strain_free_density = 10431.0
block = fuel
[]
[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
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
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
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200
min_value = 200
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 = 40
l_tol = 1e-4
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
# end_time = 161756676 # End of base irradiation
end_time = 161814651 # Whole power history, rounded to dtmin
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = 12
iteration_window = 2
linear_iteration_ratio = 100
[]
[Quadrature]
side_order = FIFTH
order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[average_centerline_fuel_temperature]
type = LayeredAxisymmetricCenterlineAverageValuePostprocessor
boundary = 12
variable = temperature
execute_on = 'timestep_end'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol] # volume inside of cladding
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[max_fuel_temperature]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_fuel_temperature]
type = NodalExtremeValue
block = fuel
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temperature]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume] # gas volume
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[average_fission_rate]
type = ElementAverageValue
block = fuel
variable = fission_rate
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.74952 # rod height
[]
[rod_ave_lin_pow]
type = LayeredElementIntegralPowerPostprocessor
block = fuel
fission_rate = fission_rate
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[max_penetration]
type = NodalExtremeValue
block = fuel
value_type = max
variable = penetration
execute_on = 'initial timestep_end'
[]
[min_penetration]
type = NodalExtremeValue
block = fuel
value_type = min
variable = penetration
execute_on = 'initial timestep_end'
[]
[max_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
# Nodal comparisons
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 262 #coords (0.005205, 0.340524)
use_displaced_mesh = true
[]
[penetration]
type = NodalVariableValue
variable = penetration
nodeid = 262 #coords (0.005205, 0.340524)
use_displaced_mesh = true
[]
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = 231 #coords (0.0, 0.340524) Glb node id 232
execute_on = 'initial timestep_end'
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
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'
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
show = 'average_burnup fis_gas_percent FCT rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
[]
[]
[Debug]
show_var_residual = 'disp_x temperature'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
initial_fuel_density = 10452.96
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
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
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
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
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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 = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
# end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_4_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = 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
[]
(examples/1.5D_restart/Smeared_1.5D.i)
# Model is of a 10 pellet stack of fuel modeled in 1.5d
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
temperature = temp
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.00056
fuel_height = 0.1186
plenum_height = 0.027
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 580.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 10e-6
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[vonmises]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[densification]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[relocation]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[]
[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] # 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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.5e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[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 = fuel # fission rate applied to the fuel (block 2) only
burnup_function = burnup
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain swell reloc'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
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 #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 = fuel
variable = grain_radius
temperature = temp
execute_on = linear
[]
[stress_xx] # computes stress components for output
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain
block = clad
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
block = fuel
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
block = fuel
[]
[densification]
type = MaterialRealAux
variable = densification
property = densification
execute_on = timestep_end
block = fuel
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
execute_on = timestep_end
block = fuel
[]
[relocation_strain]
type = MaterialRealAux
variable = relocation
property = relocation_strain
execute_on = timestep_end
block = fuel
[]
[]
[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 # 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
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = 2
function = pressure_ramp # use the pressure_ramp function defined above
factor = 15.5e6
[]
[]
[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 = 2
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 = fuel
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
#relocation_activation2 = 22965.879
#relocation_activation3 = 16404.199
relocation_model = ESCORE_modified
eigenstrain_name = reloc
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuelthermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
# complete_burnup = 5
# total_densification = 0.01
initial_fuel_density = 10431.0
eigenstrain_name = swell
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
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
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLimbackHoppeUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
#absolute_tolerance = 1.0e-13
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
block = clad
#max_iterations = 50
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
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
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[]
#[Preconditioning]
# [SMP]
# type = SMP
# full = true
# []
#[]
[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' # -mat_superlu_dist_fact'
petsc_options_value = 'lu superlu_dist' # SamePattern_SameRowPerm'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7 #1e-8 #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
# []
# [Predictor]
# type = SimplePredictor
# scale = 1.0
# []
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol] # volume inside of cladding
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
#outputs = exodus
[]
[pellet_volume] # fuel pellet total volume
type = LayeredInternalVolumePostprocessor
boundary = 8
# scale_factor = -1
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
#outputs = exodus
[]
[avg_clad_temp] # average temperature of cladding interior
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
fuel_pin_geometry = pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
# addition = 2.853e-7 # plenum
fuel_pin_geometry = pin_geometry
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[_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 = LayeredElementIntegralPowerPostprocessor
variable = temp
burnup_function = burnup
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temp
[]
[central_fuel_temp]
type = NodalVariableValue
nodeid = 262 #Mesh dependent (0.0041, 0.05661)
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
### Comparisons for 1.5D work, mesh specific #################### # von Mises Stress
[top_vonMises_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = vonmises
[]
[center_vonMises_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = vonmises
[]
[bottom_vonMises_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = vonmises
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises
block = fuel
[]
[top_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = vonmises
[]
[top_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = vonmises
[]
[center_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = vonmises
[]
[center_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = vonmises
[]
[bottom_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = vonmises
[]
[bottom_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = vonmises
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises
block = clad
[]
# radial stress
[top_stress_rr_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = stress_xx
[]
[center_stress_rr_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = stress_xx
[]
[bottom_stress_rr_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = stress_xx
[]
[average_stress_rr_fuel]
type = ElementAverageValue
variable = stress_xx
block = fuel
[]
[top_stress_rr_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = stress_xx
[]
[top_stress_rr_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = stress_xx
[]
[center_stress_rr_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = stress_xx
[]
[center_stress_rr_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = stress_xx
[]
[bottom_stress_rr_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = stress_xx
[]
[bottom_stress_rr_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = stress_xx
[]
[average_stress_rr_clad]
type = ElementAverageValue
variable = stress_xx
block = clad
[]
# radial strain
[top_strain_rr_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = strain_xx
[]
[center_strain_rr_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = strain_xx
[]
[bottom_strain_rr_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = strain_xx
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = strain_xx
block = fuel
[]
[top_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = strain_xx
[]
[top_strain_rr_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = strain_xx
[]
[center_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = strain_xx
[]
[center_strain_rr_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = strain_xx
[]
[bottom_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = strain_xx
[]
[bottom_strain_rr_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = strain_xx
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = strain_xx
block = clad
[]
# effective creep strain
[top_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = creep_strain
[]
[top_creep_strain_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = creep_strain
[]
[center_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = creep_strain
[]
[center_creep_strain_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = creep_strain
[]
[bottom_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = creep_strain
[]
[bottom_creep_strain_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = creep_strain
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = creep_strain
block = clad
[]
### Nodal displacements
[top_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
[top_disp_r_clad_inner]
type = NodalVariableValue
variable = disp_x
nodeid = 63 #mesh dependent, at (0.00418, 0.09219)
[]
[top_disp_r_clad_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 68 #mesh dependent, at (0.00474, 0.09219)
[]
[center_disp_r_clad_inner]
type = NodalVariableValue
variable = disp_x
nodeid = 36 #mesh dependent, at (0.00418, 0.05661)
[]
[center_disp_r_clad_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 43 #mesh dependent, at (0.00474, 0.05661)
[]
[bottom_disp_r_clad_inner]
type = NodalVariableValue
variable = disp_x
nodeid = 9 #mesh dependent, at (0.00418, 0.02103)
[]
[bottom_disp_r_clad_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 16 #mesh dependent, at (0.00418, 0.02103)
[]
### Nodal temperatures
[top_temp_fuel]
type = NodalVariableValue
variable = temp
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_temp_fuel]
type = NodalVariableValue
variable = temp
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_temp_fuel]
type = NodalVariableValue
variable = temp
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
[top_temp_clad_inner]
type = NodalVariableValue
variable = temp
nodeid = 63 #mesh dependent, at (0.00418, 0.09219)
[]
[top_temp_clad_outer]
type = NodalVariableValue
variable = temp
nodeid = 68 #mesh dependent, at (0.00474, 0.09219)
[]
[center_temp_clad_inner]
type = NodalVariableValue
variable = temp
nodeid = 36 #mesh dependent, at (0.00418, 0.05661)
[]
[center_temp_clad_outer]
type = NodalVariableValue
variable = temp
nodeid = 43 #mesh dependent, at (0.00474, 0.05661)
[]
[bottom_temp_clad_inner]
type = NodalVariableValue
variable = temp
nodeid = 9 #mesh dependent, at (0.00418, 0.02103)
[]
[bottom_temp_clad_outer]
type = NodalVariableValue
variable = temp
nodeid = 16 #mesh dependent, at (0.00418, 0.02103)
[]
### Nodal penetration
[top_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
### Nodal contact pressure
[top_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
### End of 1.5D comparisons
[center_eff_creep_rate_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent
variable = creep_strain_rate
[]
[center_eff_creep_rate_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent
variable = creep_strain_rate
[]
[effective_creep_strain_rate]
type = ElementAverageValue
variable = creep_strain_rate
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[densification]
type = ElementAverageValue
variable = densification
block = fuel
[]
[volumetric_swelling]
type = ElementAverageValue
variable = volumetric_swelling_strain
block = fuel
[]
[relocation]
type = ElementAverageValue
variable = relocation
block = fuel
[]
[]
[Outputs]
perf_graph = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
(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/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_activation_circle_rz.i)
# For a q that varies from 0 to 4.5 kW/ft to 8 kW/ft and a final burnup of .12 FIMA,
# with relocation activation contstants of:
# q1 = 3 kW/ft = 9842.5197 W/m
# q2 = 7 kW/ft = 22965.879 W/m
# q3 = 5 kW/ft = 16404.199 W/m
# the relocation strain should be 0.0045715 for q = 4.5 kW/ft
# and 0.0053334 for q = 8 kW/ft.
# BISON gives 0.00457 and 0.00533 respectively.
#
# This purpose for this test is to check that we can change q1, q2, and q3 and
# get the correct strain.
#
# See the BISON theory manual for the relocation strain equation
# and remember to use the proper units when checking calculations
# e.g. q = kW/ft, gap and diameter in inches, and Bu in MWd/MTU.
# Of course, inputs to BISON should always be in SI units.
#
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = GeneratedMeshGenerator
dim = 2
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[reloc_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12'
[]
[q]
type = PiecewiseLinear
x = '0.0 0.1 0.2'
y = '0.0 4.5 8.0 '
scale_factor = 3280.8 #convert from kW/ft to W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[strain_rr]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_rr
index_j = 0
index_i = 0
execute_on = timestep_end # for efficiency, only compute at the end of a timestep
[]
[reloc_strain_rr]
type = MaterialRealAux
property = relocation_strain
variable = reloc_strain_rr
execute_on = timestep_end # for efficiency, only compute at the end of a timestep
[]
[]
[BCs]
[r_axis]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 9842.5197
relocation_activation2 = 22965.879
relocation_activation3 = 16404.199
relocation_model = ESCORE_modified
[]
[density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 0.2
num_steps = 2
[]
[Outputs]
exodus = true
file_base = relocation_activation_circle_rz_out
[]
(test/tests/solid_mechanics/uo2_eigenstrains/ad_uo2_relocation/relocation_attached_rz.i)
#
# Test relocation with a block of attached elements with spatially varying q and use of the
# burnup_relocation_stop limit. The power ramps both temporally and spatially from time = 0 to
# time = 1, and the burn up ramps with time (burnup = 0.12 * dt * 9.5e5 MWD/MTU).
# The burnup_relocation_stop is set to 0.18, and burnup exceeds this value at time = 1.5s.
# Therefore the relocation strain should remain constant from time 1.5 until the simulation
# end at time = 2.0 second.
#
# The zero strain increment from time 1.5s through time 2.0s requires a large nonlinear tolerance
# in order to achieve convergence in ComputeFiniteStrain.
#
# The mesh consists of five connected elements, with the bottom block experiencing the lowest power
# value and the top block experiencing the highest power. Because of the axial function used, the
# value of the power varies across and within the five elements with axial position. An average of
# the relocation strain in each element (average of the two different relocations at the two different
# axial positions) is given in the analytical results below.
#
# The test uses the modified ESCORE model (which activates at averge linear power rates above 1.52 kW/ft)
# and an initial relocation activation value of 5000. kW/m.
#
# The equation used to calculate the relocation strain differs based on the average linear heat rate
# at the local _qp, but all ESCORE equations use the same function of the burnup (MWD/MTU).
#
# burnup_term = 0.005 * (0.005 * (0.12 * dt)^0.3 _ 0.2 * diameter + 0.3
#
# For average linear heat rates of 1.52 kW/ft to 14.0 kW/ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate}{q2} * 0.8 * 2.0 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the modified ESCORE model.
#
# For average linear heat rates above 14.0 kW/Ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate - q3}{2.0} * 0.8 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the legacy ESCORE model.
#
# For average linear heat rates under 1.52 kW/ft, the relocation strain is zero.
#
# Results:(Burnup in (MWD/MTU), Relocation Strain in (m/m))
# Element 0 Element 1 Element 2 Element 3 Element 4
# Time (s) Burnup Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation
# 0.1 11400 0.000E+00 0.000E+00 0.0000E+00 0.0000E+00 7.4554E-04
# 0.2 22800 0.000E+00 0.000E+00 8.7193E-04 1.2207E-03 1.5695E-03
# 0.3 34200 0.000E+00 4.840E-04 1.3529E-03 1.8940E-03 2.4352E-03
# 0.4 45600 0.000E+00 1.111E-03 1.8511E-03 2.5915E-03 3.3319E-03
# 0.5 57000 3.728E-04 1.418E-03 2.3633E-03 3.3086E-03 4.2539E-03
# 0.6 68400 4.554E-04 1.732E-03 2.8874E-03 4.0424E-03 5.1974E-03
# 0.7 79800 5.398E-04 2.053E-03 3.4221E-03 4.7909E-03 6.1597E-03
# 0.8 91200 6.256E-04 2.380E-03 3.9662E-03 5.5526E-03 7.9594E-03
# 0.9 102600 7.128E-04 2.711E-03 4.5188E-03 6.3264E-03 1.0895E-02
# 1.0 114000 8.012E-04 3.048E-03 5.0794E-03 7.8442E-03 1.4222E-02
# 1.1 125400 8.098E-04 3.080E-03 5.1339E-03 7.9284E-03 1.4375E-02
# 1.2 136800 8.179E-04 3.111E-03 5.1851E-03 8.0073E-03 1.4518E-02
# 1.3 148200 8.255E-04 3.140E-03 5.2333E-03 8.0819E-03 1.4653E-02
# 1.4 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
# 1.5 - 2.0 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
#
#
# In the finite strain simulation, the BISON results match the analytical expected solution,
# as shown with the postprocessor output in the simulation.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 1.0
nx = 1
ymin = 0.0
ymax = 5.0
ny = 5
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[time_q]
type = PiecewiseLinear
x = '0.0 1.0 2.0'
y = '0.0 20.0 20.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[axial_q]
type = PiecewiseLinear
x = '0.0 5.0'
y = '0.0 1.0'
axis = y
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
use_automatic_differentiation = true
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = ADMaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = ADRankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = ADRankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = ADDirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = ADDirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ADComputeFiniteStrainElasticStress
block = 0
[]
[relocation]
type = ADUO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = time_q
axial_power_profile = axial_q
diametral_gap = 0.0000254
burnup_relocation_stop = 0.18 #Put this limit in here to test it. We'll hit the limit in time 1.5,
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
[]
[density]
type = ADStrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 500
nl_rel_tol = 1e-7
nl_abs_tol = 1e-4
l_tol = 1e-5
dt = 0.1
start_time = 0.0
end_time = 2.0
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[burnup]
type = ElementAverageValue
variable = burnup
[]
[relocation_0]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[relocation_1]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
[]
[relocation_2]
type = ElementalVariableValue
variable = relocation_strain
elementid = 2
[]
[relocation_3]
type = ElementalVariableValue
variable = relocation_strain
elementid = 3
[]
[relocation_4]
type = ElementalVariableValue
variable = relocation_strain
elementid = 4
[]
[]
[Outputs]
exodus = true
file_base = relocation_attached_rz_out
[]
(assessment/LWR/validation/IFA_681/analysis/rod1/IFA_681_rod1.i)
# Halden test IFA-681, rod 1
initial_fuel_density = 10478
[GlobalParams]
density = ${initial_fuel_density}. # 95.6% 10960
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/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 = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 'mesh_ifa681r1_093_quad4.e'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[average_lhr]
type = PiecewiseLinear
data_file = 'alhr_history_ifa681r1.csv'
scale_factor = 1.e+03
format = columns
[]
[axial_scaling_lhr]
type = PiecewiseBilinear
data_file = 'peakfact_lhr_ifa681r1.csv'
axis = 1
[]
[radial_power_profile]
type = PiecewiseBilinear
data_file = 'radial_power_fact_helios_ifa681r1.csv'
axis = 0
[]
[coolant_inlet_temp]
type = PiecewiseLinear
data_file = 'coolant_inlet_temp_ifa681r1.csv'
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = 'fast_nflux_ifa681r1.csv'
scale_factor = 1.e+17
format = columns
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200. 0.'
y = ' 0. 1.'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
initial_condition = 8.5e-06
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 'clad'
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_3 pellet_type_4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[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
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel_pellets]
add_variables = false
block = 'pellet_type_3 pellet_type_4'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = false
block = 'clad'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_xx creep_strain_zz'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[uo2nat]
add_variables = false
block = 'pellet_type_2 pellet_type_5'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'uo2nat_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[al2o3]
add_variables = false
block = 'pellet_type_1 pellet_type_6'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'al2o3_thermal_eigenstrain'
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_type_3 pellet_type_4'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_3 pellet_type_4'
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
rpf_input = radial_power_profile
num_radial = 40
bias = 0.95
num_axial = 20
a_lower = 118.3e-03
a_upper = 518.7e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.095e-03
fuel_volume_ratio = 1.
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.0e+7
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
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
kennard_coefficient = 0.2173
jump_distance_model = TOPTAN
roughness_primary = 1.0e-6
roughness_secondary = 2.0e-6
gap_conductance_model = TOPTAN
quadrature = true
normal_smoothing_distance = 0.1
[]
[pellet_to_pellet1]
type = GapHeatTransfer
variable = temp
primary = 21
secondary = 22
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet2]
type = GapHeatTransfer
variable = temp
primary = 23
secondary = 24
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet3]
type = GapHeatTransfer
variable = temp
primary = 25
secondary = 26
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet4]
type = GapHeatTransfer
variable = temp
primary = 27
secondary = 28
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet5]
type = GapHeatTransfer
variable = temp
primary = 29
secondary = 30
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[CoolantChannel]
# Halden HBWR under natural circulation (v=0.4m/s)
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_inlet_temp
inlet_pressure = 3.5e+06 # Pa
inlet_massflux = 360. # kg/m^2-s
flow_area = 0.000195
heated_diameter = 0.0261
heated_perimeter = 0.0298
hydraulic_diameter = 0.0261
htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
compute_enthalpy = true
linear_heat_rate = average_lhr
axial_power_profile = axial_scaling_lhr
oxide_thickness = oxide_thickness
[]
[]
[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 = 3.5e+06
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.e+06
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
[]
[]
[]
[Materials]
## fuel ##
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_3 pellet_type_4'
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_3 pellet_type_4'
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_3 pellet_type_4'
temperature = temp
thermal_expansion_coeff = 10.0e-06
stress_free_temperature = 295.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
burnup_function = burnup
temperature = temp
gas_swelling_model_type = SIFGRS
block = 'pellet_type_3 pellet_type_4'
initial_fuel_density = 10478. # 95.6% 10960
initial_porosity = 0.044
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_3 pellet_type_4'
burnup_function = burnup
diameter = 8.19e-03
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
diametral_gap =170.e-06
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release_and_swelling]
type = UO2Sifgrs
block = 'pellet_type_3 pellet_type_4'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.044
diff_coeff_option = TURNBULL_D1_D2
transient_option = NO_TRANSIENT
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_3 pellet_type_4'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = TOPTAN
initial_porosity = 0.044
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_3 pellet_type_4'
strain_free_density = ${initial_fuel_density}
[]
## uo2nat ##
[uo2nat_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_2 pellet_type_5'
youngs_modulus = 2.0e+11
poissons_ratio = 0.345
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_2 pellet_type_5'
[]
[uo2nat_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_2 pellet_type_5'
temperature = temp
thermal_expansion_coeff = 10.e-06
stress_free_temperature = 295.0
eigenstrain_name = 'uo2nat_thermal_eigenstrain'
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_2 pellet_type_5'
thermal_conductivity = 3.
specific_heat = 300.
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_2 pellet_type_5'
strain_free_density = ${initial_fuel_density}
[]
## al2o3 ##
[al2o3_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1 pellet_type_6'
youngs_modulus = 3.0e+11
poissons_ratio = 0.21
[]
[al2o3_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_6'
[]
[al2o3_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_6'
temperature = temp
thermal_expansion_coeff = 8.1e-06
stress_free_temperature = 295.0
eigenstrain_name = 'al2o3_thermal_eigenstrain'
[]
[al2o3_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_6'
thermal_conductivity = 18.
specific_heat = 880.
[]
[al2o3_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_6'
strain_free_density = 3800.
[]
## clad ##
[clad_elasticity]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temp
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
stress_free_temperature = 295
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
use_coolant_channel = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
min_value = 295
max_value = 3000
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[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 100'
l_tol = 1.e-02
line_search = 'none'
l_max_its = 200
nl_max_its = 30
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200.
n_startup_steps = 1
end_time = 223062317.
num_steps = 20000
dtmax = 5.e+05
dtmin = 1.
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.e+02
optimal_iterations = 25
iteration_window = 5
timestep_limiting_function = average_lhr
force_step_every_function_point = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = average_lhr
[]
[gas_volume]
type = InternalVolume
boundary = 9
[]
[fuel_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
[]
[TCHoleBot_temp]
type = NodalVariableValue
variable = temp
nodeid = 63 # !! Mesh dependent
[]
[TC_temp_node1]
type = NodalVariableValue
variable = temp
nodeid = 793
[]
[TC_temp_node2]
type = NodalVariableValue
variable = temp
nodeid = 785
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_3 pellet_type_4'
value_type = max
variable = temp
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_3 pellet_type_4'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
exodus = true
perf_graph = true
[console]
type = Console
max_rows = 5
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage max_fuel_temp'
execute_on = 'FINAL'
[]
[]
(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/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_tenslice.i)
# Model is of a 10 slice pellet stack in 1.5D
# Top plenum height of 295.07 mm + bot_gap_height = 1.e-3 in 2D mesh
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = disp_x
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.0041275
clad_gap_width = 8.89e-5
clad_thickness = 6.35e-4
fuel_height = 3.81381
plenum_height = 0.29607
slices_per_block = 10
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 300.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
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
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[vonmises_stress]
order = CONSTANT
family = MONOMIAL
[]
[hydrostatic_stress]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_xx]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_xy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_zz]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads an input file containing rod average linear power vs time
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
# reads an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads an input data defining amplitude curve for coolant pressure
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]
# reads an input file containing the axial power profile vs time
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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.517e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain fuel_volumetric_strain'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
fuel_pin_geometry = pin_geometry
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = fuel
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
[]
[stress_xx] # computes stress components for output
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hydrostatic_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hydrostatic_stress
scalar_type = VonMisesStress
execute_on = timestep_end
block = fuel
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = timestep_end
[]
[creep_strain_xy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xy
index_i = 0
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic
penalty = 1e7
model = frictionless
[]
[]
[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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
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
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.517e6
function = pressure_ramp # use the pressure_ramp function defined above
displacements = 'disp_x'
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = pin_geometry
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 = fuel
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
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 = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
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
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
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-pc_type'
petsc_options_value = ' lu'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 1e-4 #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 = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
fuel_pin_geometry = pin_geometry
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = fuel
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_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 231 # Global node id 232, at coordinates (0.0, 1.71774, 0.0)
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[max_penetration]
type = NodalExtremeValue
block = fuel
value_type = max
variable = penetration
[]
[min_penetration]
type = NodalExtremeValue
block = fuel
value_type = min
variable = penetration
[]
[max_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[top_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 427 #coords (0.0041275, 3.62274)
[]
[top_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 81 #coords (0.0042164, 3.62274)
[]
[plenum_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 90 #coords (0.0042164, 3.96053)
[]
[top_radial_strain_fuel]
type = ElementalVariableValue
variable = strain_xx
elementid = 203
[]
[top_axial_strain_fuel]
type = ElementalVariableValue
elementid = 203
variable = strain_yy
[]
[top_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 36
[]
[top_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 36
[]
[plenum_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 40
[]
[plenum_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 40
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[pellet_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_surface_temp'
#[]
#[pellet_center_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 12
# sort_by = y
# outputs = 'outfile_FCT'
#[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[outfile_fuel_surface_temp]
# type = CSV
# execute_on = linear
#[]
#[outfile_FCT]
# type = CSV
# execute_on = linear
#[]
[console]
type = Console
max_rows = 25
[]
[]
(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
[]
(test/tests/solid_mechanics/uo2_eigenstrains/ad_uo2_relocation/relocation_attached_rz_time.i)
#
# Test relocation with a block of attached elements with spatially varying q and use of the
# time_relocation_stop limit. The power ramps both temporally and spatially from time = 0 to
# time = 1, and the burn up ramps with time (burnup = 0.12 * dt * 9.5e5 MWD/MTU).
# The time_relocation_stop is set to 1.5s. Therefore the relocation strain should remain
# constant from time 1.5 until the simulation end at time = 2.0 second.
#
# The zero strain increment from time 1.5s through time 2.0s requires a large nonlinear tolerance
# in order to achieve convergence in ComputeFiniteStrain.
#
# The mesh consists of five connected elements, with the bottom block experiencing the lowest power
# value and the top block experiencing the highest power. Because of the axial function used, the
# value of the power varies across and within the five elements with axial position. An average of
# the relocation strain in each element (average of the two different relocations at the two different
# axial positions) is given in the analytical results below.
#
# The test uses the modified ESCORE model (which activates at averge linear power rates above 1.52 kW/ft)
# and an initial relocation activation value of 5000. kW/m.
#
# The equation used to calculate the relocation strain differs based on the average linear heat rate
# at the local _qp, but all ESCORE equations use the same function of the burnup (MWD/MTU).
#
# burnup_term = 0.005 * (0.005 * (0.12 * dt)^0.3 _ 0.2 * diameter + 0.3
#
# For average linear heat rates of 1.52 kW/ft to 14.0 kW/ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate}{q2} * 0.8 * 2.0 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the modified ESCORE model.
#
# For average linear heat rates above 14.0 kW/Ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate - q3}{2.0} * 0.8 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the legacy ESCORE model.
#
# For average linear heat rates under 1.52 kW/ft, the relocation strain is zero.
#
# Results:(Burnup in (MWD/MTU), Relocation Strain in (m/m))
# Element 0 Element 1 Element 2 Element 3 Element 4
# Time (s) Burnup Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation
# 0.1 11400 0.000E+00 0.000E+00 0.0000E+00 0.0000E+00 7.4554E-04
# 0.2 22800 0.000E+00 0.000E+00 8.7193E-04 1.2207E-03 1.5695E-03
# 0.3 34200 0.000E+00 4.840E-04 1.3529E-03 1.8940E-03 2.4352E-03
# 0.4 45600 0.000E+00 1.111E-03 1.8511E-03 2.5915E-03 3.3319E-03
# 0.5 57000 3.728E-04 1.418E-03 2.3633E-03 3.3086E-03 4.2539E-03
# 0.6 68400 4.554E-04 1.732E-03 2.8874E-03 4.0424E-03 5.1974E-03
# 0.7 79800 5.398E-04 2.053E-03 3.4221E-03 4.7909E-03 6.1597E-03
# 0.8 91200 6.256E-04 2.380E-03 3.9662E-03 5.5526E-03 7.9594E-03
# 0.9 102600 7.128E-04 2.711E-03 4.5188E-03 6.3264E-03 1.0895E-02
# 1.0 114000 8.012E-04 3.048E-03 5.0794E-03 7.8442E-03 1.4222E-02
# 1.1 125400 8.098E-04 3.080E-03 5.1339E-03 7.9284E-03 1.4375E-02
# 1.2 136800 8.179E-04 3.111E-03 5.1851E-03 8.0073E-03 1.4518E-02
# 1.3 148200 8.255E-04 3.140E-03 5.2333E-03 8.0819E-03 1.4653E-02
# 1.4 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
# 1.5 - 2.0 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
#
#
# In the finite strain simulation, the BISON results match the analytical expected solution,
# as shown with the postprocessor output in the simulation.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 1.0
nx = 1
ymin = 0.0
ymax = 5.0
ny = 5
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[time_q]
type = PiecewiseLinear
x = '0.0 1.0 2.0'
y = '0.0 20.0 20.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[axial_q]
type = PiecewiseLinear
x = '0.0 5.0'
y = '0.0 1.0'
axis = y
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
use_automatic_differentiation = true
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = ADMaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = ADRankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = ADRankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = ADDirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = ADDirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ADComputeFiniteStrainElasticStress
block = 0
[]
[relocation]
type = ADUO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = time_q
axial_power_profile = axial_q
diametral_gap = 0.0000254
time_relocation_stop = 1.5 #Put this limit in here to test it. We'll hit the limit in time 1.5,
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
[]
[density]
type = ADStrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 500
nl_rel_tol = 1e-7
nl_abs_tol = 1e-4
l_tol = 1e-5
dt = 0.1
start_time = 0.0
end_time = 2.0
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[burnup]
type = ElementAverageValue
variable = burnup
[]
[relocation_0]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[relocation_1]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
[]
[relocation_2]
type = ElementalVariableValue
variable = relocation_strain
elementid = 2
[]
[relocation_3]
type = ElementalVariableValue
variable = relocation_strain
elementid = 3
[]
[relocation_4]
type = ElementalVariableValue
variable = relocation_strain
elementid = 4
[]
[]
[Outputs]
exodus = true
file_base = relocation_attached_rz_out
[]
(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'
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/ad_uo2_relocation/jacobian_test.i)
#
# Test relocation with a block of attached elements with spatially varying q and use of the
# burnup_relocation_stop limit. The power ramps both temporally and spatially from time = 0 to
# time = 1, and the burn up ramps with time (burnup = 0.12 * dt * 9.5e5 MWD/MTU).
# The burnup_relocation_stop is set to 0.18, and burnup exceeds this value at time = 1.5s.
# Therefore the relocation strain should remain constant from time 1.5 until the simulation
# end at time = 2.0 second.
#
# The zero strain increment from time 1.5s through time 2.0s requires a large nonlinear tolerance
# in order to achieve convergence in ComputeFiniteStrain.
#
# The mesh consists of five connected elements, with the bottom block experiencing the lowest power
# value and the top block experiencing the highest power. Because of the axial function used, the
# value of the power varies across and within the five elements with axial position. An average of
# the relocation strain in each element (average of the two different relocations at the two different
# axial positions) is given in the analytical results below.
#
# The test uses the modified ESCORE model (which activates at averge linear power rates above 1.52 kW/ft)
# and an initial relocation activation value of 5000. kW/m.
#
# The equation used to calculate the relocation strain differs based on the average linear heat rate
# at the local _qp, but all ESCORE equations use the same function of the burnup (MWD/MTU).
#
# burnup_term = 0.005 * (0.005 * (0.12 * dt)^0.3 _ 0.2 * diameter + 0.3
#
# For average linear heat rates of 1.52 kW/ft to 14.0 kW/ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate}{q2} * 0.8 * 2.0 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the modified ESCORE model.
#
# For average linear heat rates above 14.0 kW/Ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate - q3}{2.0} * 0.8 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the legacy ESCORE model.
#
# For average linear heat rates under 1.52 kW/ft, the relocation strain is zero.
#
# Results:(Burnup in (MWD/MTU), Relocation Strain in (m/m))
# Element 0 Element 1 Element 2 Element 3 Element 4
# Time (s) Burnup Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation
# 0.1 11400 0.000E+00 0.000E+00 0.0000E+00 0.0000E+00 7.4554E-04
# 0.2 22800 0.000E+00 0.000E+00 8.7193E-04 1.2207E-03 1.5695E-03
# 0.3 34200 0.000E+00 4.840E-04 1.3529E-03 1.8940E-03 2.4352E-03
# 0.4 45600 0.000E+00 1.111E-03 1.8511E-03 2.5915E-03 3.3319E-03
# 0.5 57000 3.728E-04 1.418E-03 2.3633E-03 3.3086E-03 4.2539E-03
# 0.6 68400 4.554E-04 1.732E-03 2.8874E-03 4.0424E-03 5.1974E-03
# 0.7 79800 5.398E-04 2.053E-03 3.4221E-03 4.7909E-03 6.1597E-03
# 0.8 91200 6.256E-04 2.380E-03 3.9662E-03 5.5526E-03 7.9594E-03
# 0.9 102600 7.128E-04 2.711E-03 4.5188E-03 6.3264E-03 1.0895E-02
# 1.0 114000 8.012E-04 3.048E-03 5.0794E-03 7.8442E-03 1.4222E-02
# 1.1 125400 8.098E-04 3.080E-03 5.1339E-03 7.9284E-03 1.4375E-02
# 1.2 136800 8.179E-04 3.111E-03 5.1851E-03 8.0073E-03 1.4518E-02
# 1.3 148200 8.255E-04 3.140E-03 5.2333E-03 8.0819E-03 1.4653E-02
# 1.4 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
# 1.5 - 2.0 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
#
#
# In the finite strain simulation, the BISON results match the analytical expected solution,
# as shown with the postprocessor output in the simulation.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 1.0
nx = 1
ymin = 0.0
ymax = 5.0
ny = 5
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[time_q]
type = PiecewiseLinear
x = '0.0 1.0 2.0'
y = '0.0 20.0 20.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[axial_q]
type = PiecewiseLinear
x = '0.0 5.0'
y = '0.0 1.0'
axis = y
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
use_automatic_differentiation = true
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = ADMaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = ADRankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = ADRankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ADComputeFiniteStrainElasticStress
block = 0
[]
[relocation]
type = ADUO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = time_q
axial_power_profile = axial_q
diametral_gap = 0.0000254
burnup_relocation_stop = 0.18 #Put this limit in here to test it. We'll hit the limit in time 1.5,
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
[]
[density]
type = ADStrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
num_steps = 1
dt = 0.1
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[burnup]
type = ElementAverageValue
variable = burnup
[]
[relocation_0]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[relocation_1]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
[]
[relocation_2]
type = ElementalVariableValue
variable = relocation_strain
elementid = 2
[]
[relocation_3]
type = ElementalVariableValue
variable = relocation_strain
elementid = 3
[]
[relocation_4]
type = ElementalVariableValue
variable = relocation_strain
elementid = 4
[]
[]
[Outputs]
exodus = true
file_base = relocation_attached_rz_out
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_uo2.i)
#
# Simple regression test for relocation recovery.
#
[GlobalParams]
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
displacements = 'disp_x disp_y'
patch_size = 20
[mesh]
type = FileMeshGenerator
file = pellet_clad.e
[]
[]
# Define dependent variables
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 573.15
[]
[]
# Define auxillary variables
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
block = 1
[]
[fast_neutron_fluence]
order = FIRST
family = LAGRANGE
block = 1
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[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
[]
[relocation_strain]
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
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[pressure_ramp]
type = PiecewiseLinear
x = '0 2880 4320 7920 10080 20000'
y = '1.5 16.0 16.0 5.0 20.0 20.0'
[]
[plenum_pressure]
type = PiecewiseLinear
x = '0 500 2880 4320 7920 10080 20000'
y = '1 1 2 2 12 2 2'
[]
[power_profile]
type = PiecewiseLinear
x = '0 3600 7200'
y = '0 50000 50000'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = '1'
[]
[burnup]
type = PiecewiseLinear
x = '0 50000'
y = '0 0.2'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = finite
[fuel]
block = 2
eigenstrain_names = 'relocation_eigenstrain volumetric_swelling fuelthermal_strain'
[]
[clad]
block = 1
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
factor = 3e17
block = 1
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
[]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = nonlinear
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = 2
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[gas_swell]
type = MaterialRealAux
block = 2
variable = gas_swell
property = gas_swelling
execute_on = nonlinear
[]
[volumetric_strain]
type = RankTwoScalarAux
block = 2
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = nonlinear
[]
[reloc_strain]
type = MaterialRealAux
block = 2
variable = relocation_strain
property = relocation_strain
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 = 2
execute_on = nonlinear
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = 1
execute_on = nonlinear
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = 1
execute_on = nonlinear
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = 1
execute_on = nonlinear
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 1
secondary = 7
formulation = kinematic
model = frictionless
penalty = 1e10
[]
[]
# Define boundary conditions
[BCs]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '2 4 6 8'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 3
factor = 1.0e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[plenum1]
boundary = 1
factor = 1.0e6
function = plenum_pressure
[]
[plenum2]
boundary = 7
factor = 0
function = plenum_pressure
[]
[]
[temp_bc]
type = DirichletBC
variable = temp
boundary = '1 2 3 4'
value = 750.0
preset = false
[]
[]
# Define material behavior models and input material property data
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 2
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 2
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = 2
temperature = temp
burnup = burnup
total_densification = 0.01
eigenstrain_name = volumetric_swelling
initial_fuel_density = 10430.0
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 2
thermal_expansion_coeff = 1.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuelthermal_strain
[]
[thermal]
type = UO2Thermal
block = 2
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
initial_porosity = 0.05
[]
[density]
type = StrainAdjustedDensity
block = 2
strain_free_density = 10430.0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 2
burnup = burnup
diameter = 0.00984
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =0.00016
burnup_relocation_stop = 1.0e12
model_relocation_recovery = true
max_relocation_recovery_fraction = 1.0
relocation_scaling_factor = 1
volumetric_swelling_increment = vol_swell_increment
layered_average_contact_pressure = layered_average_contact_pressure
outputs = all
output_properties = 'recovered_relocation_strain'
eigenstrain_name = relocation_eigenstrain
relocation_model = ESCORE_modified
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 100.0
specific_heat = 1.0
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'zry_creep'
[]
[zry_creep]
type = ZryCreepLimbackHoppeUpdate
block = 1
temperature = temp
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
model_primary_creep = true
[]
[]
[UserObjects]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 7
force_postaux = true
[]
[]
[Executioner]
type = Transient
# PETSC options
solve_type = 'PJFNK'
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 = 1e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
# time control
# Time steps set up to match halden data
start_time = 0
end_time = 20000
num_steps = 1000
# control for adaptive time steping
dt = 720
dtmax = 900
dtmin = 10
[Quadrature]
order = fifth
side_order = seventh
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[rod_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.001
execute_on = timestep_end
[]
[reloc_strain]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
execute_on = timestep_end
[]
[contact_pressure]
type = ElementalVariableValue
variable = contact_pressure
elementid = 1
execute_on = nonlinear
[]
[average_contact_pressure]
type = ElementalVariableValue
variable = layered_average_contact_pressure
elementid = 1
execute_on = timestep_end
[]
[disp_x]
type = NodalVariableValue
nodeid = 2
variable = disp_x
execute_on = nonlinear
[]
[disp_y]
type = NodalVariableValue
nodeid = 2
variable = disp_y
execute_on = timestep_end
[]
[clad_crp_zz]
type = SideAverageValue
boundary = 1
variable = creep_strain_zz
execute_on = timestep_end
[]
[clad_crp_xx]
type = SideAverageValue
boundary = 1
variable = creep_strain_xx
execute_on = timestep_end
[]
[clad_creep_increment]
type = SideAverageIncrementTensorComponent
boundary = 1
variable = creep_strain_zz
execute_on = timestep_end
[]
[ave_burnup]
type = ElementAverageValue
variable = burnup
block = 2
execute_on = timestep_end
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = 2
execute_on = timestep_end
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = 2
execute_on = timestep_end
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
block = 2
execute_on = nonlinear
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
block = 2
execute_on = nonlinear
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
block = 2
execute_on = timestep_end
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
block = 2
execute_on = nonlinear
[]
[total_strain_yy]
type = ElementAverageValue
variable = total_strain_yy
block = 2
execute_on = nonlinear
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
block = 2
execute_on = timestep_end
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
block = 2
execute_on = nonlinear
[]
[total_strain_zz]
type = ElementAverageValue
variable = total_strain_zz
block = 2
execute_on = timestep_end
[]
[stress_zz]
type = ElementAverageValue
variable = stress_zz
block = 2
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
[]
[dispx_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 6
execute_on = nonlinear
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 7
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[recov_strain]
type = ElementalVariableValue
variable = recovered_relocation_strain
elementid = 1
execute_on = timestep_end
[]
[]
# Define output file(s)
[Outputs]
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/REP_Na_4.i)
# REP Na 4 Rodlet Base Irradiation
initial_fuel_density = 10476.35
[GlobalParams]
density = ${initial_fuel_density} # assumed TD = 10970
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = AugmentedLagrangianContactProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
maximum_lagrangian_update_iterations = 200
acceptable_iterations = 30
acceptable_multiplier = 5
[]
[Mesh]
coord_type = RZ
patch_size = 40
#patch_update_strategy = auto
#partitioner = centroid
#centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = REP_Na4.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.15
[]
[]
[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 pellet_type_2 pellet_type_3'
initial_condition = 5.0e-6 # Assume Grain size 10 microns
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[fuel_cond]
order = CONSTANT
family = MONOMIAL
[]
[swelling_strain]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_axial_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_flux]
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
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_mag]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[SED]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = REPNa4_power_history_Full.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = REPNa4_axial_peaking_Full.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # inlet coolant pressure evolution
type = PiecewiseLinear
scale_factor = 1.0
xy_data = '0 101325
8640 15499970
124675200 15499970
124718400 101325
125193600 101325
125193610 101325
125193650 500008
125193700 500008
125193900 500008
125194000 101325
125194100 101325'
[]
[temp_ramp] # inlet coolant temp evolution
type = PiecewiseLinear
scale_factor = 0.985
xy_data = '0 293.15
8640 591
20476800 591
21859200 600
47692800 600
51840000 593
72144000 593
73440000 586
96940800 586
99360000 583
124675200 583
124761600 293.15
125193600 293.15
125193650 553.15
125193900.0 553.150
125194000.0 293.150
125194100.0 293.150'
[]
[burnup_GWd]
type = ParsedFunction
expression = bu*950
symbol_names = 'bu'
symbol_values = 'average_burnup'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz axial_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 'clad'
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 strain_xx
strain_yy strain_zz plastic_strain_xx plastic_strain_yy plastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx
elastic_strain_yy elastic_strain_zz hoop_stress axial_stress'
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 conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.5678974
a_lower = 0.0045
fuel_inner_radius = 0
fuel_outer_radius = 0.0040959
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0449 0.9551 0 0 0 0'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_profile
factor = 3e13 #n/m2-s
block = 'clad'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
block = 'clad'
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[fuel_conductance]
type = MaterialRealAux
property = thermal_conductivity
variable = fuel_cond
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[swelling_strain]
type = MaterialRealAux
property = volumetric_swelling_strain
variable = swelling_strain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = axial_creep_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = hoop_plastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = axial_plastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[total_axial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_axial_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = axial_elastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[plastic_strain_mag]
type = MaterialRealAux
property = effective_plastic_strain
variable = plastic_strain_mag
block = clad
execute_on = timestep_end
[]
[clad_coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = clad_coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[clad_coolant_flux]
type = MaterialRealAux
property = output_heat_flux
variable = clad_coolant_flux
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
property = critical_heat_flux
variable = critical_heat_flux
boundary = 2
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
[]
[ofract_total]
type = MaterialRealAux
property = current_oxygen_weight_frac_total
variable = oxywtfract_total
execute_on = timestep_end
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
property = oxygen_weight_frac_gained_total
variable = oxywtfgain_total
execute_on = timestep_end
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
property = fract_beta_phase
variable = fract_beta_phase
block = 'clad'
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 210 #10
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 10.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[pellet_clad_mechanical_2]
primary = 5
secondary = 410
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[]
# 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 = 2.0e-6
roughness_secondary = 0.5e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
emissivity_primary = 0.800 #Emissivity for fuel
emissivity_secondary = 0.325 #Emissivity for clad
refab_time = 125107200
refab_gas_types = He
refab_fractions = 1
contact_coef = 20 #10 default
[]
[]
[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 = 20
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 1
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_temperature = 293.15
initial_pressure = 2.60e6
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 #plenumTemp
volume = gas_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'
# extra_vector_tags = 'ref'
refab_time = 125107200
refab_pressure = 0.301e6
refab_temperature = 293.15
refab_volume = 2.0e-6
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = 3244.044104 # kg/m^2-sec
rod_diameter = 0.00951 # m
rod_pitch = 1.26e-2 # m
coolant_material = 'water'
compute_enthalpy = true
oxide_thickness = oxide_thickness # coupled oxide_thickness
number_axial_zone = 50
[]
#
# [convective_clad_surface_sodium] # apply convective boundary to clad outer surface
# boundary = '1 2 3'
# variable = temp
# inlet_temperature = temp_ramp # K
# inlet_pressure = pressure_ramp # Pa
# inlet_massflux = 3533 # kg/m^2-sec Based on flow rate provided and flow area and estimated density of 885.1 kg/m^3
# flow_area = 8.74855e-5 #m^2
# heated_diameter = 1.172526e-2 #m
# hydraulic_diameter = 4.7e-3 #m
# heated_perimeter = 2.984513e-2 #m
# coolant_material = 'sodium'
# compute_enthalpy = true
# heat_transfer_mode = 0
# oxide_thickness = oxide_thickness # coupled oxide_thickness
# number_axial_zone = 50
# rod_diameter = 0.0095 # m
# htc_correlation_type = 2
# []
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
strain_free_density = ${initial_fuel_density}
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.045
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
matpro_poissons_ratio = 1
matpro_youngs_modulus = 1
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.0208
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 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
initial_fuel_density = 10476.35
total_densification = 0.00675
initial_porosity = 0.045
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
fission_rate = fission_rate
initial_porosity = 0.045
grain_radius = grain_radius
gbs_model = true
transient_option = NO_TRANSIENT
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6550
[]
[clad_thermal]
type = ZryThermal
block = 'clad'
temperature = temp
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
temperature = temp
matpro_poissons_ratio = true
matpro_youngs_modulus = true
cold_work_factor = 0.5
fast_neutron_fluence = fast_neutron_fluence
block = 'clad'
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_zryplasticity'
block = 'clad'
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
creeprate_scale_factor = 1
model_irradiation_creep = 1
model_primary_creep = 1
model_thermal_creep = 1
max_inelastic_increment = 0.0002
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = 'clad'
temperature = temp
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
max_inelastic_increment = 0.0002
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00417789
clad_outer_radius = 0.00475615
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
oxygen_weight_fraction_initial = 0.0012
[]
[phase]
type = ZrPhase
block = 'clad'
numerical_method = 2
temperature = temp
[]
[StrainEnergyDensity]
type = StrainEnergyDensity
block = 'clad'
incremental = 1
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200 # The maximum permissible iterative value for the variable.
min_value = 200 # The minimum permissible iterative value for the variable.
variable = temp # The name of the variable that this damper operates on
[]
[contact_slip]
type = ContactSlipDamper
primary = 5
secondary = 10
min_damping_factor = 0.05
[]
[]
[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 = 'contact'
contact_line_search_allowed_lambda_cuts = 0
contact_line_search_ltol = 0.5
verbose = true
l_max_its = 100
l_tol = 1e-3
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = 0
end_time = 125193600 #125194100 is the end time for the RIA
dtmax = 1e6
dtmin = 1e-7
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e3
optimal_iterations = 100
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = power_profile
max_function_change = 1e6
force_step_every_function_point = true
timestep_limiting_postprocessor = material_timestep
time_t = '125193610 125193620 125193630 125193640 125193650 125193660 125193670 125193680'
time_dt = '10 10 10 10 10 10 10 10'
growth_factor = 5
[]
[Quadrature]
order = FIFTH #SEVENTH
side_order = SEVENTH #Comment out if order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9 #For RIA the node number is ##***8479***##
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
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 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[gas_volume] # 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
[]
[1_rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[3_burnup_GWd]
type = FunctionValuePostprocessor
function = burnup_GWd
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = 'clad'
variable = vonmises_stress
[]
[z_average_RPF]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = RPF
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = 'clad'
[]
## Nodal values
[FCT] #fuel centerline temperature
type = NodalVariableValue
variable = temp
nodeid = 3866 #(0, 0.303375, 0)
[]
[FST] #fuel surface temperature
type = NodalVariableValue
variable = temp
nodeid = 3823 #(0.0040959, 0.303375, 0)
[]
[CIST] #clad inner surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9557 #(0.0041779, 0.305106, 0)
[]
[COST] #clad outer surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9547 #(0.00475615, 0.305106, 0)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 3823 #(0.0040959, 0.303375, 0)
use_displaced_mesh = true
[]
#######################################
[qpoint_penetration] #FOCE
type = ElementalVariableValue
variable = qpoint_penetration
elementid = 1200
use_displaced_mesh = 1
[]
[penetration] #FOCN
type = NodalVariableValue
variable = penetration
nodeid = 3823
use_displaced_mesh = 1
[]
[contact_pressure] #FOCN
type = NodalVariableValue
variable = contact_pressure
nodeid = 3823
use_displaced_mesh = 1
[]
[gap_cond] #FOCE
type = ElementalVariableValue
variable = gap_cond
elementid = 1200
use_displaced_mesh = 1
[]
[creep_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_creep_strain
elementid = 2981
use_displaced_mesh = 1
[]
[elastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_elastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[plastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_plastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[total_hoop_strain] #COCE
type = ElementalVariableValue
variable = total_hoop_strain
elementid = 2981
use_displaced_mesh = 1
[]
[clad_hoop_stress] #COCE
type = ElementalVariableValue
variable = hoop_stress
elementid = 2981
use_displaced_mesh = 1
[]
[clad_axial_elongation] #COTN
type = NodalVariableValue
variable = disp_y
nodeid = 10755
use_displaced_mesh = 1
[]
[clad_oxide_thickness] #COCE
type = ElementalVariableValue
variable = oxide_thickness
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_htc] #COCE
type = ElementalVariableValue
variable = clad_coolant_htc
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_temp] #COCE
type = ElementalVariableValue
variable = coolant_temp
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_flux] #COCE
type = ElementalVariableValue
variable = clad_coolant_flux
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_hmode] #COCE
type = ElementalVariableValue
variable = coolant_channel_hmode
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_htype] #COCE
type = ElementalVariableValue
variable = coolant_channel_htype
elementid = 2981
use_displaced_mesh = 1
[]
[critical_heat_flux] #COCE
type = ElementalVariableValue
variable = critical_heat_flux
elementid = 2981
use_displaced_mesh = 1
[]
[fuel_centerline_temp] #FICN
type = NodalVariableValue
variable = temp
nodeid = 3866
[]
[fuel_surface_temp] #FOCN
type = NodalVariableValue
variable = temp
nodeid = 3823
[]
[clad_inner_surface_temp] #CICN
type = NodalVariableValue
variable = temp
nodeid = 9557
[]
[clad_outer_surface_temp] #COCN
type = NodalVariableValue
variable = temp
nodeid = 9547
[]
[fuel_axial_elongation] #FOTN
type = NodalVariableValue
variable = disp_y
nodeid = 7739
[]
[clad_radial_elongation] #COCN
type = NodalVariableValue
variable = disp_x
nodeid = 9547
[]
[fuel_radial_elongation] #FOCN
type = NodalVariableValue
variable = disp_x
nodeid = 3823
[]
[SED_PPN_O] #COCE
type = ElementalVariableValue
variable = SED
elementid = 2981
use_displaced_mesh = 1
[]
[SED_PPN_I] #CICE
type = ElementalVariableValue
variable = SED
elementid = 2984
use_displaced_mesh = 1
[]
[zz_OFract_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfract_total
elementid = 2981
use_displaced_mesh = 1
[]
[zz_OGain_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfgain_total
elementid = 2981
use_displaced_mesh = 1
[]
#######################################
[max_clad_SED]
type = ElementExtremeValue
block = 'clad'
variable = SED
value_type = max
[]
#Post processor to calculate radial average enthalpy. This postprocessor isnt available yet in BISON
[z_RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.3
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = z_RAE
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_diameter'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_pellet_diameter'
[]
#Location of peak power node at appoximately 0.3 m in mesh
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = 'outfile_radial_temp'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
csv = true
#exodus = true
color = false
[outfile_clad_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_pellet_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_radial_temp]
type = CSV
end_time = -100000
[]
[console]
type = Console
output_linear = true
max_rows = 10
[]
[chkfile]
type = CSV
show = 'ave_temp_interior fission_gas_released FCT average_burnup peak_RAE'
execute_on = 'FINAL'
[]
[exodus]
type = Exodus
time_step_interval = 4
end_time = 125193700
[]
[exodus_RIA]
type = Exodus
time_step_interval = 3
start_time = 125193695
[]
[checkpoint_RIA]
type = Checkpoint
file_base = recover_files_RIA
sync_times = '124761600 125107200 125193600 125193650 125193700 125193700.06 125193700.07 125193700.08 125193700.09 125193700.10 125193700.20 125193700.30 125193700.40 125193700.50 125193700.60 125193700.70 125193700.80 125193700.90 125193701.00 125193701.25 125193701.50 125193701.75 125193702.00 125193702.25 125193702.50 125193702.75 125193703.00 125193704.00 125193705.00'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
show_material_props = true
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
# Halden test IFA-650.10
initial_fuel_density = 10447
[GlobalParams]
density = ${initial_fuel_density}. # 95.32% of 10960
displacements = 'disp_x disp_y'
temperature = temp
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
coord_type = RZ
patch_size = 5 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ifa65010.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[linear_heat_rate]
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = lhr_peaking_factors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[rod_outer_pressure]
type = PiecewiseLinear
data_file = rod_outer_pressure.csv
scale_factor = 1.e+06
format = columns
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = temp_outer_clad.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[q] # same as linear_heat_rate for the base irradiation
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heat_sink_temperature.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_coolant_htc]
type = PiecewiseLinear
data_file = htc_average.csv
scale_factor = 1.
format = columns
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '0 125690842. 125691189.5'
y = '9 9 8 '
direction = 'right'
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
format = columns
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
initial_condition = 4.65e-06
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_hflux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
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
[]
[thcond]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_conductivity
block = pellet_type_1
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxi_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = 'initial linear'
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[coolant_hflux]
type = MaterialRealAux
property = output_heat_flux
variable = coolant_hflux
boundary = 2
execute_on = 'initial linear'
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
execute_on = 'initial linear'
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
execute_on = 'initial linear'
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
execute_on = 'initial linear'
[]
[pelletid]
type = PelletIdAux
block = pellet_type_1
variable = pellet_id
a_lower = 8.5e-03
a_upper = 448.5e-03
number_pellets = 44
execute_on = initial
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[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
[]
[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]
order = CONSTANT
family = MONOMIAL
block = pellet_type_1
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 50
bias = 0.95
num_axial = 20
a_lower = 8.5e-03
a_upper = 448.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.105e-03
fuel_volume_ratio = 1.
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
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
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
roughness_secondary = 1.8e-07
roughness_primary = 2.e-06
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 124861061.
refab_type = 0
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# 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
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = rod_outer_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.6e+06
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 = 124861061.
refab_pressure = 4.e+06
refab_temperature = 293.15
refab_volume = 1.7e-05
[]
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 0.
end_time = 124861061.0
[]
#[period1]
# type = TimePeriod
# disable_objects = 'BCs/clad_outer_temp'
# start_time = 125690771.0
# end_time = 125691189.5
#[]
[]
[CoolantChannel]
[convective_clad_surface] # PWR conditions (ignored after base irradiation)
boundary = '1 2 3'
variable = temp
heat_transfer_mode = heat_transfer_mode # prescribe htc until end of blowdown. Then use radiative (+ convective prescribed)
heat_transfer_coefficient = average_coolant_htc # For base irradiation, using averge htc from a previous simulation. Afterwards, use constant values (from jernkvist) plus radiation from end of blowdown
effective_emissivity = 0.6 # 0.75 # cf. Jernkvist
inlet_temperature = heat_sink_temperature # K
#inlet_pressure = 15.5e+06 # Pa
#inlet_massflux = 3800. # kg/m^2-s
rod_diameter = 9.5e-03 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
compute_enthalpy = false #true
#oxide_thickness = oxide_thickness
#heat_transfer_mode = 1 # Natural convection
#htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[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_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet_type_1
fragmentation_model = BARANI
rod_ave_lin_pow = linear_heat_rate
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
#burnup_function = burnup #TODO For consistency, we should specify burnup_function rather than fission_rate,
#but keeping it this way to match the SM model
initial_grain_radius = 4.65e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 8.21e-03
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =150.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.0468
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.
specific_heat = 330.
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[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 = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[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_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
#l_tol = 8.e-03
line_search = 'none'
l_max_its = 200
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = 0.
n_startup_steps = 1
#end_time = 124861061. # End of base irradiation
end_time = 125690771. # Blowdown. End prescribing clad outer temperature.
#end_time = 125690842. # End of blowdown
#end_time = 125691189.5
dtmax = 5.e+05
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = timestep_material
dt = 1.e+02
#growth_factor = 1.1
#optimal_iterations = 4
#iteration_window = 2
timestep_limiting_function = forced_times #linear_heat_rate
max_function_change = 2000.
force_step_every_function_point = true
time_t = '121509219. 124861061. 125680151. 125690151. 125690771. 125691027. 125691033.'
time_dt = '5.e+05 1.e+04 1.e+04 10. 5. 0.5 5. '
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = pellet_type_1
pellet_id = pellet_id
temperature = temp
a_lower = 8.5e-03
a_upper = 448.5e-03
pellet_radius = 4.105e-03
number_pellets = 44
execute_on = 'initial linear'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = linear_heat_rate
execute_on = 'initial timestep_end'
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[oxygen_fract_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[oxygen_fgain_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[creep_rate_max]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[stress_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_midplane]
type = NodalVariableValue
nodeid = 676 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tclow]
type = NodalVariableValue
nodeid = 826 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tchigh]
type = NodalVariableValue
nodeid = 511 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_plenum_mid]
type = NodalVariableValue
nodeid = 241 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_inner_midplane]
type = NodalVariableValue
nodeid = 679 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_max]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_ave]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_central]
type = NodalVariableValue
variable = temp
nodeid = 1569 # !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[temp_fuel_outer_max]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_strain
execute_on = 'initial timestep_end'
[]
[stress_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[contact_pressure_midplane]
type = ElementalVariableValue
elementid = 1300 # !! Mesh dependent
variable = contact_pressure
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[gap_conductance_average]
type = SideAverageValue
boundary = 10
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[coolant_htc_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_htc_average]
type = SideAverageValue
boundary = 2
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_hflux_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[coolant_hflux_average]
type = SideAverageValue
boundary = 2
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
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
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
output_linear = true
max_rows = 10
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
[]
[]
(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/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
[]
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ022/TSQ022_1pt5.i)
# Model is of a 10 slice pellet stack in 1.5D
# Top plenum height of 213.45 mm + bot_gap_height = 1.e-3 in 2D mesh
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = disp_x
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0011684 #annular pellets
pellet_outer_radius = 0.0041275
clad_gap_width = 8.89e-5
clad_thickness = 6.35e-4
fuel_height = 3.81381
plenum_height = 0.21445
slices_per_block = 10
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 300.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
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
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads an input file containing rod average linear power vs time
data_file = TSQ022_alhr.csv
format = columns
[]
[axial_peaking_factors]
# reads an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = TSQ022_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads an input data defining amplitude curve for coolant pressure
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]
# reads an input file containing the axial power profile vs time
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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.517e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress
strain_xx strain_xy strain_yy strain_zz'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_xx strain_xy strain_yy strain_zz creep_strain_xx creep_strain_xy
creep_strain_yy creep_strain_zz'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
a_lower = 0.00324 # checked with paraview
a_upper = 3.81705 # checked with paraview
fuel_outer_radius = .0041275 # checked with paraview
fuel_inner_radius = .0011684 # Checked with paraview
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
fuel_volume_ratio = 1.0
order = Constant
family = MONOMIAL
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = fuel
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
[]
[stress_xx] # computes stress components for output
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hydrostatic_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hydrostatic_stress
scalar_type = VonMisesStress
execute_on = timestep_end
block = fuel
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = timestep_end
[]
[creep_strain_xy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xy
index_i = 0
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic # #changed to match 1.5d example problem
penalty = 1e9
model = frictionless
#normal_smoothing_distance = 0.1 # This option does not play nicely with 1.5D
[]
[]
[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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
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 # This option does not play nicely with 1.5D
[]
[]
[BCs]
# No displacement boundary conditions are necessary for annular pellets because of the
# axisymmetric stress divergence which creates the additional constraint
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
function = pressure_ramp # use the pressure_ramp function defined above
factor = 15.517e6
displacements = 'disp_x'
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = fuel
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
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
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
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
[]
[]
[Executioner]
type = Transient
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 = 1e-3
# controls for nonlinear iterations
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 141793474 #141789874+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
fuel_pin_geometry = pin_geometry
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = fuel
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_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81381 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[FCT]
type = NodalVariableValue
nodeid = 264 #coords (0.0, 2.10084)
variable = temp
execute_on = 'initial timestep_end'
[]
[FCT_slice4]
type = NodalVariableValue
nodeid = 231 #coords (0.0, 1.71945)
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[gap_slice6]
type = NodalVariableValue
variable = penetration
nodeid = 328 #coords (0.0041275, 2.48222)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 295 #coords (0.0041275, 2.10084)
[]
[gap_slice4]
type = NodalVariableValue
variable = penetration
nodeid = 262 #coords (0.0041275, 1.71945)
[]
[contact_pressure_slice6]
type = NodalVariableValue
variable = contact_pressure
nodeid = 328 #coords (0.0041275, 2.48222)
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 295 #coords (0.0041275, 2.10084)
[]
[contact_pressure_slice4]
type = NodalVariableValue
variable = contact_pressure
nodeid = 262 #coords (0.0041275, 1.71945)
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
show = 'average_burnup fis_gas_percent FCT rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
[]
[]
(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/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/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/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_hundredslice.i)
# Model is of a 10 slice pellet stack in 1.5D
# Top plenum height of 295.07 mm + bot_gap_height = 1.e-3 in 2D mesh
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = disp_x
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.0041275
clad_gap_width = 8.89e-5
clad_thickness = 6.35e-4
fuel_height = 3.81381
plenum_height = 0.29607
slices_per_block = 100
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 300.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
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
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[vonmises_stress]
order = CONSTANT
family = MONOMIAL
[]
[hydrostatic_stress]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_xx]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_xy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_zz]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads an input file containing rod average linear power vs time
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
# reads an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads an input data defining amplitude curve for coolant pressure
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]
# reads an input file containing the axial power profile vs time
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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.517e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain fuel_volumetric_strain'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
fuel_pin_geometry = pin_geometry
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = fuel
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
[]
[stress_xx] # computes stress components for output
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hydrostatic_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hydrostatic_stress
scalar_type = VonMisesStress
execute_on = timestep_end
block = fuel
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = timestep_end
[]
[creep_strain_xy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xy
index_i = 0
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic
penalty = 1e7
model = frictionless
[]
[]
[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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
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
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.517e6
function = pressure_ramp # use the pressure_ramp function defined above
displacements = 'disp_x'
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = pin_geometry
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 = fuel
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
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 = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
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
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
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = ' lu'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 1e-4 #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 = 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]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
fuel_pin_geometry = pin_geometry
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = fuel
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_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 231 # Global node id 232, at coordinates (0.0, 1.71774, 0.0)
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[max_penetration]
type = NodalExtremeValue
block = fuel
value_type = max
variable = penetration
[]
[min_penetration]
type = NodalExtremeValue
block = fuel
value_type = min
variable = penetration
[]
[max_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[top_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 4043 #coords (0.0041275, 3.62274)
[]
[top_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 847 #coords (0.0042164, 3.62274)
[]
[plenum_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 892 #coords (0.0042164, 3.96053)
[]
[top_radial_strain_fuel]
type = ElementalVariableValue
variable = strain_xx
elementid = 203
[]
[top_axial_strain_fuel]
type = ElementalVariableValue
elementid = 203
variable = strain_yy
[]
[top_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 36
[]
[top_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 36
[]
[plenum_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 40
[]
[plenum_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 40
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[pellet_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_surface_temp'
#[]
#[pellet_center_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 12
# sort_by = y
# outputs = 'outfile_FCT'
#[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[outfile_fuel_surface_temp]
# type = CSV
# execute_on = linear
#[]
#[outfile_FCT]
# type = CSV
# execute_on = linear
#[]
[console]
type = Console
max_rows = 25
[]
[]
(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
[]
(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/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
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
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
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
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = 0.0170917878663391
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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 = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[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'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
exodus = true
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
# execute_on = 'FINAL'
# create_final_symlink = true
file_base = 'clad/new'
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/TSQ002_1pt5.i)
# Model is of a 10 slice pellet stack in 1.5D
# Top plenum height of 295.07 mm + bot_gap_height = 1.e-3 in 2D mesh
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = disp_x
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.0041275
clad_gap_width = 8.89e-5
clad_thickness = 6.35e-4
fuel_height = 3.81381
plenum_height = 0.29607
slices_per_block = 10
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 300.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
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
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads an input file containing rod average linear power vs time
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
# reads an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads an input data defining amplitude curve for coolant pressure
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]
# reads an input file containing the axial power profile vs time
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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.517e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress strain_xx strain_yy strain_zz'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_xx strain_yy strain_zz creep_strain_xx creep_strain_xy
creep_strain_yy creep_strain_zz'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
a_lower = 0.00324 # checked with paraview
a_upper = 3.81705 # checked with paraview
fuel_outer_radius = .0041275 # checked with paraview
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 = fuel
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
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic # #changed to match 1.5d example problem
penalty = 1e7 #changed to match 1.5D example problem to 1e7 from 1e9
model = frictionless
#normal_smoothing_distance = 0.1 # This option does not play nicely with 1.5D
[]
[]
[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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
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 # This option does not play nicely with 1.5D
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.517e6
function = pressure_ramp # use the pressure_ramp function defined above
displacements = 'disp_x'
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = fuel
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = 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
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
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
[]
[]
[Executioner]
type = Transient
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 = 1e-3
# controls for nonlinear iterations
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
fuel_pin_geometry = pin_geometry
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = fuel
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_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81381 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[FCT]
type = NodalVariableValue
nodeid = 264 #coords (0.0, 2.10084)
variable = temp
execute_on = 'initial timestep_end'
[]
[FCT_slice4]
type = NodalVariableValue
nodeid = 231 #coords (0.0, 1.71945)
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[gap_slice6]
type = NodalVariableValue
variable = penetration
nodeid = 328 #coords (0.0041275, 2.48222)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 295 #coords (0.0041275, 2.10084)
[]
[gap_slice4]
type = NodalVariableValue
variable = penetration
nodeid = 262 #coords (0.0041275, 1.71945)
[]
[contact_pressure_slice6]
type = NodalVariableValue
variable = contact_pressure
nodeid = 328 #coords (0.0041275, 2.48222)
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 295 #coords (0.0041275, 2.10084)
[]
[contact_pressure_slice4]
type = NodalVariableValue
variable = contact_pressure
nodeid = 262 #coords (0.0041275, 1.71945)
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
show = 'average_burnup fis_gas_percent FCT rod_total_power'
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 25
[]
[]
(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/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_attached_rz.i)
#
# Test relocation with a block of attached elements with spatially varying q and use of the
# burnup_relocation_stop limit. The power ramps both temporally and spatially from time = 0 to
# time = 1, and the burn up ramps with time (burnup = 0.12 * dt * 9.5e5 MWD/MTU).
# The burnup_relocation_stop is set to 0.18, and burnup exceeds this value at time = 1.5s.
# Therefore the relocation strain should remain constant from time 1.5 until the simulation
# end at time = 2.0 second.
#
# The zero strain increment from time 1.5s through time 2.0s requires a large nonlinear tolerance
# in order to achieve convergence in ComputeFiniteStrain.
#
# The mesh consists of five connected elements, with the bottom block experiencing the lowest power
# value and the top block experiencing the highest power. Because of the axial function used, the
# value of the power varies across and within the five elements with axial position. An average of
# the relocation strain in each element (average of the two different relocations at the two different
# axial positions) is given in the analytical results below.
#
# The test uses the modified ESCORE model (which activates at averge linear power rates above 1.52 kW/ft)
# and an initial relocation activation value of 5000. kW/m.
#
# The equation used to calculate the relocation strain differs based on the average linear heat rate
# at the local _qp, but all ESCORE equations use the same function of the burnup (MWD/MTU).
#
# burnup_term = 0.005 * (0.005 * (0.12 * dt)^0.3 _ 0.2 * diameter + 0.3
#
# For average linear heat rates of 1.52 kW/ft to 14.0 kW/ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate}{q2} * 0.8 * 2.0 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the modified ESCORE model.
#
# For average linear heat rates above 14.0 kW/Ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate - q3}{2.0} * 0.8 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the legacy ESCORE model.
#
# For average linear heat rates under 1.52 kW/ft, the relocation strain is zero.
#
# Results:(Burnup in (MWD/MTU), Relocation Strain in (m/m))
# Element 0 Element 1 Element 2 Element 3 Element 4
# Time (s) Burnup Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation
# 0.1 11400 0.000E+00 0.000E+00 0.0000E+00 0.0000E+00 7.4554E-04
# 0.2 22800 0.000E+00 0.000E+00 8.7193E-04 1.2207E-03 1.5695E-03
# 0.3 34200 0.000E+00 4.840E-04 1.3529E-03 1.8940E-03 2.4352E-03
# 0.4 45600 0.000E+00 1.111E-03 1.8511E-03 2.5915E-03 3.3319E-03
# 0.5 57000 3.728E-04 1.418E-03 2.3633E-03 3.3086E-03 4.2539E-03
# 0.6 68400 4.554E-04 1.732E-03 2.8874E-03 4.0424E-03 5.1974E-03
# 0.7 79800 5.398E-04 2.053E-03 3.4221E-03 4.7909E-03 6.1597E-03
# 0.8 91200 6.256E-04 2.380E-03 3.9662E-03 5.5526E-03 7.9594E-03
# 0.9 102600 7.128E-04 2.711E-03 4.5188E-03 6.3264E-03 1.0895E-02
# 1.0 114000 8.012E-04 3.048E-03 5.0794E-03 7.8442E-03 1.4222E-02
# 1.1 125400 8.098E-04 3.080E-03 5.1339E-03 7.9284E-03 1.4375E-02
# 1.2 136800 8.179E-04 3.111E-03 5.1851E-03 8.0073E-03 1.4518E-02
# 1.3 148200 8.255E-04 3.140E-03 5.2333E-03 8.0819E-03 1.4653E-02
# 1.4 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
# 1.5 - 2.0 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
#
#
# In the finite strain simulation, the BISON results match the analytical expected solution,
# as shown with the postprocessor output in the simulation.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 1.0
nx = 1
ymin = 0.0
ymax = 5.0
ny = 5
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[time_q]
type = PiecewiseLinear
x = '0.0 1.0 2.0'
y = '0.0 20.0 20.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[axial_q]
type = PiecewiseLinear
x = '0.0 5.0'
y = '0.0 1.0'
axis = y
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = time_q
axial_power_profile = axial_q
diametral_gap = 0.0000254
burnup_relocation_stop = 0.18 #Put this limit in here to test it. We'll hit the limit in time 1.5,
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
[]
[density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 7e-5
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 2.0
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[burnup]
type = ElementAverageValue
variable = burnup
[]
[relocation_0]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[relocation_1]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
[]
[relocation_2]
type = ElementalVariableValue
variable = relocation_strain
elementid = 2
[]
[relocation_3]
type = ElementalVariableValue
variable = relocation_strain
elementid = 3
[]
[relocation_4]
type = ElementalVariableValue
variable = relocation_strain
elementid = 4
[]
[]
[Outputs]
exodus = true
file_base = relocation_attached_rz_out
[]
(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/solid_mechanics/uo2_eigenstrains/uo2_relocation/reloc_recov_escore_mod_rz.i)
#
# Analytical solution for burnup = 0 and varying linear power from 0 to 25 kW/ft
# for GAPCON relocation model
#
# Power (kW/ft) Relocation Strain
# 0 0.00065957
# 1 0.00081745
# 2 0.00097533
# 3 0.00113322
# 4 0.00129110
# 5 0.00144898
# 6 0.00160687
# 7 0.00176475
# 8 0.00192263
# 9 0.00208052
# 10 0.00223840
# 11 0.00239628
# 12 0.00255417
# 13 0.00271205
# 14 0.00286993
# 15 0.00302782
# 16 0.00318570
# 17 0.00334358
# 18 0.00350147
# 19 0.00365935
# 20 0.00381723
# 21 0.00397512
# 22 0.00413300
# 23 0.00429088
# 24 0.00444877
# 25 0.00460665
[Mesh]
coord_type = RZ
displacements = 'disp_x disp_y'
patch_size = 20
[mesh]
type = FileMeshGenerator
file = pellet_clad.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 293.0
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
[]
[densification]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[relocation_strain]
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
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = PiecewiseLinear
x = '0.0 40.0'
y = '0.0 0.08'
[]
[q]
type = PiecewiseLinear
x = '0.0 40.0'
y = '0.0 20.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 40.0'
y = '293.0 1000.0'
[]
[dispx_ramp]
type = PiecewiseLinear
x = '0.0 20.0 40.0'
y = '0.0 150e-6 150e-6'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = finite
[fuel]
block = 2
eigenstrain_names = 'relocation_eigenstrain volumetric_swelling fuelthermal_strain'
[]
[clad]
block = 1
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
block = 2
variable = burnup
function = burnup
execute_on = 'initial linear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = 2
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[solid_swell]
type = MaterialRealAux
block = 2
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[gas_swell]
type = MaterialRealAux
block = 2
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[densification]
type = MaterialRealAux
block = 2
variable = densification
property = densification
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
block = 2
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
[]
[reloc_strain]
type = MaterialRealAux
block = 2
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
variable = elastic_strain_rr
rank_two_tensor = elastic_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[elastic_strain_yy]
type = RankTwoAux
variable = elastic_strain_yy
rank_two_tensor = elastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
variable = total_strain_yy
rank_two_tensor = total_strain
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[elastic_strain_zz]
type = RankTwoAux
variable = elastic_strain_zz
rank_two_tensor = elastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
variable = total_strain_zz
rank_two_tensor = total_strain
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
variable = stress_zz
rank_two_tensor = stress
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = 2
execute_on = timestep_end
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=7) and the clad (sideset=1)
[pellet_clad_mechanical]
primary = 1
secondary = 7
formulation = kinematic
model = frictionless
penalty = 1e10
[]
[]
[BCs]
[no_y_pellet_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '2 4 6 8'
value = 0.0
[]
[y_axis]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0.0
[]
[left_temp]
type = FunctionDirichletBC
variable = temp
boundary = '5 6 7 8'
function = temp_ramp
[]
[clad_x_disp]
type = FunctionDirichletBC
variable = disp_x
boundary = '1 2 3 4'
function = dispx_ramp
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 2
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 2
[]
[relocation]
type = UO2RelocationEigenstrain
block = 2
burnup = burnup
diameter = 0.00984
rod_ave_lin_pow = q
diametral_gap =0.00016
burnup_relocation_stop = 1.0e12
model_relocation_recovery = true
max_relocation_recovery_fraction = 0.5
relocation_scaling_factor = 1
layered_average_contact_pressure = layered_average_contact_pressure
volumetric_swelling_increment = vol_swell_increment
outputs = all
output_properties = 'recovered_relocation_strain'
eigenstrain_name = relocation_eigenstrain
relocation_model = ESCORE_modified
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = 2
temperature = temp
burnup = burnup
complete_burnup = 5
total_densification = 0.0
eigenstrain_name = volumetric_swelling
initial_fuel_density = 10430.0
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 2
thermal_expansion_coeff = 1.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuelthermal_strain
[]
[thermal]
type = UO2Thermal
block = 2
thermal_conductivity_model = FINK_LUCUTA
temperature = temp
burnup = burnup
[]
[density]
type = StrainAdjustedDensity
block = 2
strain_free_density = 10430.0
[]
[clad_elasticity]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 7.5e10
poissons_ratio = 0.0
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[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
[]
[]
[UserObjects]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 7
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_max_its = 30
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
l_tol = 1e-5
start_time = 0.0
dt = 1.0
end_time = 40.0
[]
[Postprocessors]
[ave_burnup]
type = ElementAverageValue
variable = burnup
block = 2
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = 2
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = 2
[]
[densification]
type = ElementAverageValue
variable = densification
block = 2
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = 2
[]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
block = 2
[]
[average_contact_pressure]
type = ElementalVariableValue
variable = layered_average_contact_pressure
elementid = 1
execute_on = nonlinear
[]
[contact_pressure]
type = ElementalVariableValue
variable = contact_pressure
elementid = 1
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
block = 2
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
block = 2
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
block = 2
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
block = 2
[]
[total_strain_yy]
type = ElementAverageValue
variable = total_strain_yy
block = 2
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
block = 2
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
block = 2
[]
[total_strain_zz]
type = ElementAverageValue
variable = total_strain_zz
block = 2
[]
[stress_zz]
type = ElementAverageValue
variable = stress_zz
block = 2
[]
[thermal_strain_rr]
type = DifferencePostprocessor
value1 = total_strain_rr
value2 = elastic_strain_rr
[]
[thermal_strain_yy]
type = DifferencePostprocessor
value1 = total_strain_yy
value2 = elastic_strain_yy
[]
[thermal_strain_zz]
type = DifferencePostprocessor
value1 = total_strain_zz
value2 = elastic_strain_zz
[]
[dispx_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 6
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 7
variable = volumetric_swelling_strain
[]
[recov_strain]
type = ElementalVariableValue
variable = recovered_relocation_strain
elementid = 1
[]
[]
[Outputs]
exodus = true
file_base = reloc_recov_escore_mod_rz_0_out
[chkfile]
type = CSV
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(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'
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle_rz_var.i)
# ---------------------------------------------------------------------------------
#
# This test examines the relocation strain model in an axisymmetric model, using directly
# provided geometry options for the pellet diameter (0.1in) and the clad-pellet gap (0.001in).
# This test is a companion test to the cartesian quarter circle model relocation_circle.i
#
# The test uses the legacy ESCORE model (which activates at averge linear power rates above 6 kW/ft)
# and an initial relocation activation value of 19685.039 kW/m.
#
# The test applies a constant q (8 kW/ft or 26246 W/m) and a burnup function of .12 * time FIMA,
# which varies linearily with time.
#
# With a constant time step increment of 0.1s, the relocation strain increment is
# \frac{\Delta D}{D_o} = 0.8 * (q - q1) * \frac{gap}{diameter} * (0.005 * (0.12 * dt)^{0.3} - 0.2 * diameter + 0.3)
# from the theory manual for the legacy ESCORE model.
#
# Results:
# Time (s) Burnup Value (MWd/MTU) Analytical Relocation Strain (m/m) BISON Relocation Strain (m/m)
# 0.0 0.0 0.002822 0.0 (return before calculation in zeroth step)
# 0.1 11400.0 0.003653 0.003653
# 0.2 22800.0 0.003845 0.003845
# 0.3 34200.0 0.003977 0.003977
# 0.4 45600.0 0.004081 0.004081
# 0.5 57000.0 0.004169 0.004169
# 0.6 68400.0 0.004244 0.004244
# 0.7 79800.0 0.004312 0.004312
# 0.8 91200.0 0.004372 0.004372
# 0.9 102600.0 0.004428 0.004428
# 1.0 114000.0 0.004480 0.004480
#
# In the finite strain simulation, the BISON results match the analytical expected solution.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = GeneratedMeshGenerator
dim = 2
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[power]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[q]
type = ParsedFunction
expression = '26246.71916'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[power]
type = FunctionAux
variable = power
function = q
execute_on = 'initial linear'
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 19685.039
relocation_model = ESCORE_legacy
[]
[density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Postprocessors]
[relocation_strain_ave]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr_ave]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr_ave]
type = ElementAverageValue
variable = total_strain_rr
[]
[disp_x_2]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_y_2]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 1
[]
[Outputs]
exodus = true
file_base = relocation_circle_rz_var_out
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
initial_fuel_density = 10452.96
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
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
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[fuel_relo]
mesh_generator = layered1D_mesh
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
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 172489043
end_time = 172489661
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
# axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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 = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
# hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
# end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 3.0 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
execute_on = 'initial timestep_end'
perf_graph = true
[outfile_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(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
[]
(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/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'
[]
[]
(examples/multiapp/pin1.i)
## In this example the multiapp system is called to run another BISON simulation.
## (input1.i calls input2.i) An application of this might be multiple fuel pins
## in an assembly. This example also demonstrates the internal mesh maker.
initial_fuel_density = 10200
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
a_lower = 0.06951
a_upper = 3.72711
initial_porosity = 0.04
[]
# ==================================================== #
# Mesh (and Geometry, internally-meshed)
# ==================================================== #
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
clad_thickness = 0.0005
pellet_outer_radius = 0.0041
clad_bot_gap_height = 0.00152
clad_top_gap_height = 0.16
pellet_quantity = 1
pellet_height = 3.6576
clad_gap_width = 8.0e-05
bottom_clad_height = 0.0167
top_clad_height = 0.0167
nx_p = 6 # number of radial elements in the fuel
ny_p = 48 # number of axial elements in the fuel
nx_c = 3 # number of elements in the clad thickness
ny_c = 48 # number of elements in the axially in the clad
ny_cu = 1
ny_cl = 1
intervals = '0.03866 0.08211 0.08211 0.08211 0.08212 0.08211 0.08211 0.08211 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.079212 0.079212 0.079212 0.079212 0.079212'
elem_type = QUAD4
[]
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 10
patch_update_strategy = auto
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 493
[]
# ==================================================== #
# Dimensions and Primary Variables
# ==================================================== #
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 3.000000e+02
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
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 = 1
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'
[]
[]
# ==================================================== #
# Auxiliary Variables
# ==================================================== #
[AuxVariables]
# ================================================== #
# Nodal Quantities
# ================================================== #
[htcl]
initial_condition = 500.0
[]
[htcv]
initial_condition = 0.0
[]
[Tl]
initial_condition = 565.0
[]
[Tv]
initial_condition = 565.0
[]
[burnup]
block = 3
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.240000e-06
[]
# ================================================== #
# Constant Monomial Quantities (Non-Mechanics)
# ================================================== #
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 3
[]
[axial_fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[axial_burnup]
order = CONSTANT
family = MONOMIAL
[]
[axial_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
initial_condition = 0.04
[]
[]
# ==================================================== #
# Time- and Space-Dependent Source and BCs
# ==================================================== #
[Functions]
[linear_heat_rate_profile]
type = PiecewiseLinear
x = '-100 0 5000'
y = '0 0 25000'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[coolant_temperature]
type = PiecewiseLinear
x = '-100 0'
y = '293 565'
axis = y
[]
[coolant_pressure_ramp]
# used in coolantPressure BC
type = PiecewiseLinear
scale_factor = 1
x = '0 10000.0'
y = '0 1.0'
[]
[]
# ==================================================== #
# Burnup Equation Set
# ==================================================== #
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 49
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
isotopes = 'U235 U238'
isotope_fractions = '3.100e-02 9.690e-01'
RPF = RPF
[]
[]
# ==================================================== #
# Primary Kernels used in Heat Transfer
# ==================================================== #
[Kernels]
[gravity]
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]
type = NeutronHeatSource
fission_rate = fission_rate
variable = temp
extra_vector_tags = 'ref'
block = 3
[]
[]
[AuxKernels]
# ================================================== #
# Pre-Defined Types
# ================================================== #
[pelletid]
type = PelletIdAux
block = 3
variable = pellet_id
number_pellets = 1
execute_on = initial
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
rod_ave_lin_pow = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
factor = 1.27e+14 # (n/m2-s per W/m)
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 = linear
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductivity
boundary = 10
execute_on = linear
[]
# ================================================== #
# Other General Types
# ================================================== #
[axial_burnup]
type = SpatialUserObjectAux
block = 3
variable = axial_burnup
user_object = axial_burnup
execute_on = timestep_begin
[]
[axial_temperature]
type = SpatialUserObjectAux
block = 3
variable = axial_temperature
user_object = axial_temperature
execute_on = timestep_begin
[]
[]
# ==================================================== #
# Mechanical and Thermal Contact
# ==================================================== #
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
normal_smoothing_distance = 0.1
model = frictionless
formulation = Kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_coef = 3.200000e+00
roughness_primary = 1.8e-06
roughness_secondary = 8e-07
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_moles = initial_moles
gas_released = fission_gas_released
tangential_tolerance = 0.0001
normal_smoothing_distance = 0.1
order = FIRST
[]
[]
[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
[]
[convective_clad_surface_bottom]
type = ConvectiveFluxBC
boundary = '1 2 3'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 565.0
final = 585.0
duration = 1.0e4 #duration of initial power ramp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.55132e+07
function = coolant_pressure_ramp
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 1.99948e+06
startup_time = 0
R = 8.314462
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
# ==================================================== #
# Specification of Material Properties
# ==================================================== #
[Materials]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = NFIR
block = 3
temperature = temp
burnup = 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 = linear_heat_rate_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
diameter = 0.008192
diametral_gap =0.000168
# Average burnup at which fuel comes into contact with clad at 25kW/m
burnup_relocation_stop = 0.0315
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10200.0
eigenstrain_name = fuel_volumetric_strain
total_densification = 0.01
[]
[fission_gas_release]
type = UO2Sifgrs
axial_power_profile = axial_peaking_factors
block = 3
burnup = burnup
fission_rate = fission_rate
hydrostatic_stress = hydrostatic_stress
grain_radius = grain_radius
pellet_brittle_zone = pbz
pellet_id = pellet_id
rod_ave_lin_pow = linear_heat_rate_profile
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[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 = 7833
[]
[]
# ==================================================== #
# User Objects for Output Processing
# ==================================================== #
[UserObjects]
[pbz]
type = PelletBrittleZone
block = 3
pellet_id = pellet_id
temperature = temp
pellet_radius = 0.0041
number_pellets = 1
execute_on = linear
[]
[averagefissionrate]
type = LayeredAverage
block = 3
variable = fission_rate
direction = y
num_layers = 49
execute_on = timestep_begin
[]
[average_temp]
type = LayeredAverage
block = 3
variable = temp
direction = y
num_layers = 49
execute_on = timestep_begin
[]
[averagebu]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 49
execute_on = timestep_begin
[]
[casl_average_fission_rate]
variable = fission_rate
type = LayeredAverage
block = 3
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[surface_temp]
type = LayeredSideAverage
boundary = 2
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
use_displaced_mesh = 0
execute_on = timestep_begin
[]
[axial_temperature]
type = LayeredAverage
block = 3
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[axial_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[integral_temperature]
type = LayeredAverage
block = 3
variable = temp
direction = y
num_layers = 1
execute_on = timestep_begin
[]
[integral_burnup]
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
execute_on = timestep_begin
[]
[average]
type = LayeredAverage
block = 3
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
execute_on = timestep_begin
[]
[axial_surface_temperature]
type = LayeredSideAverage
boundary = 2
variable = temp
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
use_displaced_mesh = 0
execute_on = timestep_begin
[]
[rod_avg_fast_fluence]
type = LayeredSideAverage
boundary = 2
variable = fast_neutron_fluence
direction = y
num_layers = 1
use_displaced_mesh = 0
execute_on = timestep_begin
[]
[casl_clad_surface_heat_flux]
type = LayeredSideDiffusiveFluxAverage
variable = temp
boundary = 2
direction = y
bounds = '0.01822 0.05688 0.13899 0.2211 0.30321 0.38533 0.46744 0.54955 0.63166 0.66976 0.75041 0.83106 0.91171 0.99236 1.07301 1.15366 1.19176 1.27241 1.35306 1.43371 1.51436 1.59501 1.67566 1.71376 1.79441 1.87506 1.95571 2.03636 2.11701 2.19766 2.23576 2.31641 2.39706 2.47771 2.55836 2.63901 2.71966 2.75776 2.83841 2.91906 2.99971 3.08036 3.16101 3.24166 3.27976 3.35897 3.43818 3.5174 3.59661 3.67582'
diffusivity = thermal_conductivity
execute_on = timestep_begin
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 293
[]
[]
# ==================================================== #
# Solver Options
# ==================================================== #
[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'
verbose = true
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-6
nl_abs_tol = 1e-10
# ================================================== #
# Time Step Control
# ================================================== #
start_time = -100
end_time = 5e6
dtmin = 0.1
dtmax = 1e6
dt = 10
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
optimal_iterations = 1000
time_t = '0 1.0e4 53200 1.0e5'
time_dt = '1.0e3 1.0e3 1.0e3 1.0e5'
[]
[]
[Postprocessors]
# ================================================== #
# Required for Fission Gas Release Models
# ================================================== #
[ave_temp_interior]
# used to compute temperature of plenum
type = SideAverageValue
boundary = 9
variable = temp
outputs = exodus
execute_on = 'initial linear'
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 3
outputs = exodus
execute_on = linear
[]
[gas_volume]
type = InternalVolume
boundary = 9
outputs = exodus
execute_on = 'initial linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
execute_on = linear
[]
[_dt]
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
[]
[]
# ==================================================== #
# Location and format of output
# ==================================================== #
[Outputs]
perf_graph = true
exodus = true
file_base = pin1_output
time_step_interval = 1
[console]
type = Console
max_rows = 25
output_linear = true
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
positions = '10 0 0'
input_files = 'pin2.i'
[]
[]
(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'
[]
[]
(assessment/LWR/validation/Riso_Base_sub.i)
# This is a partial input file base with information/features common to several assessments cases for Riso
# This file is a sub-base file and contains blocks that are common to all the Riso cases except Riso_II5_action.i.
# NOTE: This file will NOT run on its own, it requires the Riso_Base.i and a Riso_XX.i file to run, with XX specifying the case to be run.
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = ${blocks_fuel}
initial_condition = ${initial_grain_radius}
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = ${blocks_fuel}
strain = FINITE
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
strain = FINITE
temperature = temperature
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = ${blocks_all}
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
block = ${blocks_all}
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = ${blocks_fuel}
[]
[]
[Burnup]
[burnup]
block = ${blocks_fuel}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = ${num_radial_burnup}
bias = ${bias_radial_burnup}
num_axial = ${num_axial_burnup}
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 = clad
function = flux
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = ${blocks_fuel}
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[pelletid]
type = PelletIdAux
block = ${blocks_fuel}
variable = pellet_id
a_lower = ${a_lower}
a_upper = ${a_upper}
number_pellets = ${number_pellets}
execute_on = timestep_begin
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = ${blocks_fuel}
temperature = temperature
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = ${blocks_fuel}
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = ${blocks_fuel}
temperature = temperature
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = ${blocks_fuel}
temperature = temperature
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = ${blocks_fuel}
burnup_function = burnup
temperature = temperature
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
initial_fuel_density = ${initial_fuel_density}
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = ${blocks_fuel}
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
burnup_relocation_stop = ${burnup_relocation_stop}
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = ${blocks_fuel}
grain_radius = grain_radius
burnup_function = burnup
temperature = temperature
hydrostatic_stress = hydrostatic_stress
ath_model = true
rod_ave_lin_pow = power_history
gbs_model = true
ig_bubble_model = NUCLEATION_RESOLUTION
ig_diff_algorithm = polypole2
diff_coeff_option = TURNBULL_D1_4D2_D3
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
[]
[fuel_density]
type = StrainAdjustedDensity
block = ${blocks_fuel}
strain_free_density = ${initial_fuel_density}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = clad_creep
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temperature
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = ${stress_free_temperature}
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${cladding_density}
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = ${blocks_fuel}
pellet_id = pellet_id
temperature = temperature
pellet_radius = ${fuel_outer_radius}
a_lower = ${a_lower}
a_upper = ${a_upper}
number_pellets = ${number_pellets}
execute_on = linear
[]
[]
(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/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
[]
(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/LWR/validation/IFA_535/analysis/rod_810/IFA_535_rod_810.i)
initial_fuel_density = 10398.06
[GlobalParams]
density = ${initial_fuel_density} #Assuming 10980 as the theoretical density
displacements = 'disp_x disp_y'
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
patch_size = 20 # 50
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = ifa535_rod810.e
[]
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
block = 'pellet_type_1'
initial_condition = 9.36e-6 # 2D grain radius 6um
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ifa535_810_power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ifa535_810_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant pressure
type = PiecewiseLinear
x = '-100 0 217720944 217722744 217724544 217742544 224388540 224388576'
y = ' 0.0303 1 1 0.0303 0.0303 1 1 0.0303'
[]
[flux] # reads and interpolates input data defining fast neutron flux
type = PiecewiseLinear
data_file = ifa535_810_fast_flux.csv
format = columns
[]
[clad_temp_bc]
type = PiecewiseLinear
data_file = ifa535_810_clad_bc.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
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
incremental = true
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
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'
[]
[]
# 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 = 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 = 'pellet_type_1' # fission rate applied to the fuel (block 2) only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.48724
a_lower = 0.01924
fuel_inner_radius = 0
fuel_outer_radius = 0.00527
fuel_volume_ratio = 1
RPF = RPF
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
axial_power_profile = axial_peaking_factors
function = flux
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
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
penalty = 1e9
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
roughness_secondary = 0.81e-6
roughness_primary = 1.0e-6
roughness_coef = 3.2
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 226498428
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 = 20
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_temp_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 3.2e6
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 = 0.1e6
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
refab_time = 217722744
refab_pressure = 3.2e6
refab_temperature = 449.05
refab_volume = 9.6e-6
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
initial_fuel_density = 10398.06
eigenstrain_name = fuel_volumetric_strain
[]
[density_clad]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6551.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'pellet_type_1'
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
[]
[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 = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
diameter = 0.01054 #Fuel pellet diameter in m
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap =2.44e-4
burnup_relocation_stop = 0.029
relocation_activation1 = 5000 #initial relocation activation power in W/m
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_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 = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_growth
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200
min_value = 200
variable = temp
[]
[]
[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'
# controls for linear iterations
l_max_its = 60
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
# time control
start_time = -100
end_time = 224388576
dtmax = 5e5
dtmin = 1
# direct control of time steps vs time (optional)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
force_step_every_function_point = true
timestep_limiting_function = power_profile
optimal_iterations = 25
iteration_window = 6
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = 'pellet_type_1'
[]
[clad_elong]
type = NodalVariableValue
variable = disp_y
nodeid = 2359 #Global node ID 9739
[]
[input_rod_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
sync_times = 5556726
[console]
type = Console
max_rows = 25
[]
[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/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'
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_escore_legacy_rz.i)
#
# Analytical solution for burnup = 0 and varying linear power from 0 to 25 kW/ft
# for GAPCON relocation model
#
# Power (kW/ft) Relocation Strain
# 0 0.00065957
# 1 0.00081745
# 2 0.00097533
# 3 0.00113322
# 4 0.00129110
# 5 0.00144898
# 6 0.00160687
# 7 0.00176475
# 8 0.00192263
# 9 0.00208052
# 10 0.00223840
# 11 0.00239628
# 12 0.00255417
# 13 0.00271205
# 14 0.00286993
# 15 0.00302782
# 16 0.00318570
# 17 0.00334358
# 18 0.00350147
# 19 0.00365935
# 20 0.00381723
# 21 0.00397512
# 22 0.00413300
# 23 0.00429088
# 24 0.00444877
# 25 0.00460665
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 0.004555
nx = 1
ymin = 0.0
ymax = 0.01
ny = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.0'
[]
[q]
type = PiecewiseLinear
x = '0.0 2.2'
y = '0.0 22.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = 'initial linear'
[]
[elastic_strain_rr]
type = RankTwoAux
variable = elastic_strain_rr
rank_two_tensor = elastic_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[]
[BCs]
[y_axis]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0.0
[]
[x_axis]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[relocation]
type = UO2RelocationEigenstrain
burnup = burnup
diameter = 0.00911
rod_ave_lin_pow = q
diametral_gap =0.00016
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_model = ESCORE_legacy
[]
[density]
type = StrainAdjustedDensity
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 2.2
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
[]
[dispx_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 2
[]
[]
[Outputs]
exodus = true
file_base = relocation_escore_legacy_rz_0_out
[chkfile]
type = CSV
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle_rz.i)
# ---------------------------------------------------------------------------------
#
# This test examines the relocation strain model in an axisymmetric model, using directly
# provided geometry options for the pellet diameter (0.1in) and the clad-pellet gap (0.001in).
# This test is a companion test to the cartesian quarter circle model relocation_circle.i
#
# The test uses the legacy ESCORE model (which activates at averge linear power rates above 6 kW/ft)
# and an initial relocation activation value of 19685.039 kW/m.
#
# The test applies a constant q (8 kW/ft or 26246 W/m) and a burnup function of .12 * time FIMA,
# which varies linearily with time.
#
# With a constant time step increment of 0.1s, the relocation strain increment is
# \frac{\Delta D}{D_o} = 0.8 * (q - q1) * \frac{gap}{diameter} * (0.005 * (0.12 * dt)^{0.3} - 0.2 * diameter + 0.3)
# from the theory manual for the legacy ESCORE model.
#
# Results:
# Time (s) Burnup Value (MWd/MTU) Analytical Relocation Strain (m/m) BISON Relocation Strain (m/m)
# 0.0 0.0 0.002822 0.0 (return before calculation in zeroth step)
# 0.1 11400.0 0.003653 0.003653
# 0.2 22800.0 0.003845 0.003845
# 0.3 34200.0 0.003977 0.003977
# 0.4 45600.0 0.004081 0.004081
# 0.5 57000.0 0.004169 0.004169
# 0.6 68400.0 0.004244 0.004244
# 0.7 79800.0 0.004312 0.004312
# 0.8 91200.0 0.004372 0.004372
# 0.9 102600.0 0.004428 0.004428
# 1.0 114000.0 0.004480 0.004480
#
# In the finite strain simulation, the BISON results match the analytical expected solution.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = GeneratedMeshGenerator
dim = 2
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[q]
type = ParsedFunction
expression = '26246.71916'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 19685.039
relocation_model = ESCORE_legacy
[]
[density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 1
[]
[Postprocessors]
[relocation_strain_ave]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr_ave]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr_ave]
type = ElementAverageValue
variable = total_strain_rr
[]
[disp_x_2]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_y_2]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[]
[Outputs]
exodus = true
file_base = relocation_circle_rz_out
[]
(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/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/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'
[]
[]
(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'
[]
[]
(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/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
initial_fuel_density = 10430.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.262416
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseBilinear
data_file = average_coolant_htc.csv
axis = 1
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 200412461 200413048'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain
fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hoop_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_zz creep_strain_zz hoop_stress'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[rel]
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
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
gap_thickness_threshold = 0.00039
axial_relocation_output_options = 'MASS_FRACTION'
mesh_generator = layered1D_mesh
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 199159200
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 199159200
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 1.9e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 199159200.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10430.0
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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 = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 199159200 # End base irradiation
# end_time = 200412431 # Begin Blowdown
# end_time = 200413048 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '199159200 200312431 200411431 200412431 200412461 200413048'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_9_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = 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/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
# Halden test IFA-650.10
initial_fuel_density = 10447
[GlobalParams]
density = ${initial_fuel_density}. # 95.32% of 10960
displacements = 'disp_x disp_y'
temperature = temp
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = true
[]
[Problem]
restart_file_base = 'IFA_650_10_part1_checkpoint_cp/LATEST'
[]
[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_ifa65010.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[]
[]
[Functions]
[linear_heat_rate]
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = lhr_peaking_factors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[rod_outer_pressure]
type = PiecewiseLinear
data_file = rod_outer_pressure.csv
scale_factor = 1.e+06
format = columns
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = temp_outer_clad.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[q] # same as linear_heat_rate for the base irradiation
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heat_sink_temperature.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_coolant_htc]
type = PiecewiseLinear
data_file = htc_average.csv
scale_factor = 1.
format = columns
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '0 125690842. 125691189.5'
y = '9 9 8 '
direction = 'right'
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
format = columns
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_hflux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
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
[]
[thcond]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_conductivity
block = pellet_type_1
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxi_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = 'initial linear'
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[coolant_hflux]
type = MaterialRealAux
property = output_heat_flux
variable = coolant_hflux
boundary = 2
execute_on = 'initial linear'
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
execute_on = 'initial linear'
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
execute_on = 'initial linear'
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
execute_on = 'initial linear'
[]
[pelletid]
type = PelletIdAux
block = pellet_type_1
variable = pellet_id
a_lower = 8.5e-03
a_upper = 448.5e-03
number_pellets = 44
execute_on = initial
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[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
[]
[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]
order = CONSTANT
family = MONOMIAL
block = pellet_type_1
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 50
bias = 0.95
num_axial = 20
a_lower = 8.5e-03
a_upper = 448.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.105e-03
fuel_volume_ratio = 1.
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
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
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
roughness_secondary = 1.8e-07
roughness_primary = 2.e-06
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 124861061.
refab_type = 0
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# 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
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = rod_outer_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.6e+06
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 = 124861061.
refab_pressure = 4.e+06
refab_temperature = 293.15
refab_volume = 1.7e-05
[]
[]
[]
[Controls]
#[period0]
# type = TimePeriod
# disable_objects = 'BCs/clad_outer_temp'
# start_time = 0.
# end_time = 124861061.0
#[]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 125690771.0
end_time = 125691189.5
[]
[]
[CoolantChannel]
[convective_clad_surface] # PWR conditions (ignored after base irradiation)
boundary = '1 2 3'
variable = temp
heat_transfer_mode = heat_transfer_mode # prescribe htc until end of blowdown. Then use radiative (+ convective prescribed)
heat_transfer_coefficient = average_coolant_htc # For base irradiation, using averge htc from a previous simulation. Afterwards, use constant values (from jernkvist) plus radiation from end of blowdown
effective_emissivity = 0.6 # 0.75 # cf. Jernkvist
inlet_temperature = heat_sink_temperature # K
#inlet_pressure = 15.5e+06 # Pa
#inlet_massflux = 3800. # kg/m^2-s
rod_diameter = 9.5e-03 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
compute_enthalpy = false #true
#oxide_thickness = oxide_thickness
#heat_transfer_mode = 1 # Natural convection
#htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[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_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet_type_1
fragmentation_model = BARANI
rod_ave_lin_pow = linear_heat_rate
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
#burnup_function = burnup #TODO For consistency, we should specify burnup_function rather than fission_rate,
#but keeping it this way to match the SM model
initial_grain_radius = 4.65e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 8.21e-03
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =150.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.0468
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.
specific_heat = 330.
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[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 = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[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_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
#l_tol = 8.e-03
line_search = 'none'
l_max_its = 200
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
n_startup_steps = 1
#end_time = 124861061. # End of base irradiation
#end_time = 125690771. # Blowdown. End prescribing clad outer temperature.
#end_time = 125690842. # End of blowdown
end_time = 125691189.5
dtmax = 5.e+05
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = timestep_material
dt = 1.e+02
#growth_factor = 1.1
#optimal_iterations = 4
#iteration_window = 2
timestep_limiting_function = forced_times #linear_heat_rate
max_function_change = 2000.
force_step_every_function_point = true
time_t = '121509219. 124861061. 125680151. 125690151. 125690771. 125691027. 125691033.'
time_dt = '5.e+05 1.e+04 1.e+04 10. 5. 0.5 5. '
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = pellet_type_1
pellet_id = pellet_id
temperature = temp
a_lower = 8.5e-03
a_upper = 448.5e-03
pellet_radius = 4.105e-03
number_pellets = 44
execute_on = 'initial linear'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = linear_heat_rate
execute_on = 'initial timestep_end'
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[oxygen_fract_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[oxygen_fgain_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[creep_rate_max]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[stress_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_midplane]
type = NodalVariableValue
nodeid = 676 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tclow]
type = NodalVariableValue
nodeid = 826 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tchigh]
type = NodalVariableValue
nodeid = 511 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_plenum_mid]
type = NodalVariableValue
nodeid = 241 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_inner_midplane]
type = NodalVariableValue
nodeid = 679 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_max]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_ave]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_central]
type = NodalVariableValue
variable = temp
nodeid = 1569 # !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[temp_fuel_outer_max]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_strain
execute_on = 'initial timestep_end'
[]
[stress_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[contact_pressure_midplane]
type = ElementalVariableValue
elementid = 1300 # !! Mesh dependent
variable = contact_pressure
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[gap_conductance_average]
type = SideAverageValue
boundary = 10
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[coolant_htc_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_htc_average]
type = SideAverageValue
boundary = 2
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_hflux_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[coolant_hflux_average]
type = SideAverageValue
boundary = 2
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
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
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
output_linear = true
max_rows = 10
[]
[outfile_2]
type = CSV
execute_on = 'FINAL'
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_escore_mod_rz.i)
#
# Analytical solution for burnup = 0 and varying linear power from 0 to 25 kW/ft
# for GAPCON relocation model
#
# Power (kW/ft) Relocation Strain
# 0 0.00065957
# 1 0.00081745
# 2 0.00097533
# 3 0.00113322
# 4 0.00129110
# 5 0.00144898
# 6 0.00160687
# 7 0.00176475
# 8 0.00192263
# 9 0.00208052
# 10 0.00223840
# 11 0.00239628
# 12 0.00255417
# 13 0.00271205
# 14 0.00286993
# 15 0.00302782
# 16 0.00318570
# 17 0.00334358
# 18 0.00350147
# 19 0.00365935
# 20 0.00381723
# 21 0.00397512
# 22 0.00413300
# 23 0.00429088
# 24 0.00444877
# 25 0.00460665
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 0.004555
nx = 1
ymin = 0.0
ymax = 0.01
ny = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.0'
[]
[q]
type = PiecewiseLinear
x = '0.0 2.2'
y = '0.0 22.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = 'initial linear'
[]
[elastic_strain_rr]
type = RankTwoAux
variable = elastic_strain_rr
rank_two_tensor = elastic_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[]
[BCs]
[y_axis]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0.0
[]
[x_axis]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[relocation]
type = UO2RelocationEigenstrain
burnup = burnup
diameter = 0.00911
rod_ave_lin_pow = q
diametral_gap =0.00016
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_model = ESCORE_modified
[]
[density]
type = StrainAdjustedDensity
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 2.2
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
[]
[dispx_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 2
[]
[]
[Outputs]
exodus = true
file_base = relocation_escore_mod_rz_0_out
[chkfile]
type = CSV
[]
[]
(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'
[]
[]
(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'
[]
[]
(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/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_only_smear.i)
# Smeared mesh pellet model for testing relocation recovery.
[GlobalParams]
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_mesh_density = 'customize'
clad_mesh_density = 'customize'
nx_p = 1
ny_p = 1
nx_c = 1
ny_c = 1
ny_cu = 1
ny_cl = 1
pellet_outer_radius = 0.0041
pellet_height = 0.01
clad_gap_width = 160e-6
clad_bot_gap_height = 1.27e-3
clad_thickness = 0.25e-3
bottom_clad_height = 1.0e-3
top_clad_height = 1.0e-3
plenum_fuel_ratio = 0.20
elem_type = 'QUAD4'
[]
[]
# Define dependent variables
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
# Define auxillary variables
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[interface_pressure]
order = CONSTANT
family = MONOMIAL
[]
[vonmises]
order = CONSTANT
family = MONOMIAL
[]
[hydrostatic_stress]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[pressure_ramp]
type = PiecewiseLinear
x = '0 3600 7200'
y = '1 1 10.0'
[]
[plenum_pressure]
type = PiecewiseLinear
x = '0 7200'
y = '1 1'
[]
[power_profile]
type = PiecewiseLinear
x = '0 1.0'
y = '0 75459'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = '1'
[]
[burnup]
type = PiecewiseLinear
x = '0 1.0'
y = '0 0.010526'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
generate_output = 'stress_xx stress_yy stress_zz'
[pellet]
block = pellet
eigenstrain_names = relocation_eigenstrain
[]
[clad]
block = clad
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[interface_pressure]
type = SpatialUserObjectAux
block = pellet
variable = interface_pressure
execute_on = nonlinear
user_object = avg_contact_pressure
[]
[vonmises]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hydrostatic_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hydrostatic_stress
scalar_type = Hydrostatic
execute_on = timestep_end
[]
[]
[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 = 1e12
[]
[]
# Define boundary conditions
[BCs]
[no_x_fuel_cl]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
use_displaced_mesh = false
boundary = '1 2 3'
factor = 15.0e6
function = pressure_ramp # use the pressure_ramp function defined above
[]
[plenum1]
use_displaced_mesh = false
boundary = 9
factor = 0.1e6
function = plenum_pressure
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_density]
type = StrainAdjustedDensity
strain_free_density = 10963.0
block = pellet
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 1e11
poissons_ratio = 0.3
[]
[stress]
type = ComputeLinearElasticStress
block = pellet
[]
[relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_model = ESCORE_modified
burnup_relocation_stop = 1.0e12
outputs = all
output_properties = 'relocation_strain'
eigenstrain_name = relocation_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[elasticity_tensor_clad]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[stress_clad]
type = ComputeLinearElasticStress
block = clad
[]
[]
[UserObjects]
[avg_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = nonlinear
boundary = 10
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp'
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 = 50
l_tol = 1e-5
# controls for nonlinear iterations
nl_max_its = 30
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
# time control
start_time = 0
end_time = 1.0
dt = 0.025
[Quadrature]
order = fifth
side_order = seventh
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[rod_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.0003049
[]
[reloc_strain_ave]
type = ElementalVariableValue
variable = relocation_strain
elementid = 5
[]
[contact_pressure]
type = SideAverageValue
variable = contact_pressure
boundary = 10
[]
[disp_x]
type = NodalVariableValue
nodeid = 13 # Global node id 14
variable = disp_x
[]
[]
# Define output file(s)
[Outputs]
csv = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[]
(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
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_vary_q_rz.i)
# ---------------------------------------------------------------------------------
#
# This test examines the relocation strain model in an axisymmetric model, using directly
# provided geometry options for the pellet diameter (0.1in) and the clad-pellet gap (0.001in),
# to verify the behavior of the model under varying linear power functions.
#
# The mesh consists of four separate (no shared mesh nodes) blocks, with the bottom block experiencing
# the lowest power value and the top block experiencing the highest power. The axial_q function is
# implemented to ensure a consistent power in each block.
#
# The test uses the modified ESCORE model (which activates at averge linear power rates above 1.52 kW/ft)
# and an initial relocation activation value of 5000. kW/m.
#
# The equation used to calculate the relocation strain differs based on the average linear heat rate
# at the local _qp, but all ESCORE equations use the same function of the burnup (MWD/MTU).
#
# burnup_term = 0.005 * burnup(MWD/MTU)^0.3 _ 0.2 * diameter + 0.3
# = 0.444452871, since burnup is held constant at 114000 (MWD/MTU) in this test
#
# For average linear heat rates of 1.52 kW/ft to 14.0 kW/ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate}{q2} * 0.8 * 2.0 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the modified ESCORE model.
#
# For average linear heat rates above 14.0 kW/Ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate - q3}{2.0} * 0.8 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the legacy ESCORE model.
#
# For average linear heat rates under 1.52 kW/ft, the relocation strain is zero.
#
# Results:(Heat Rate in (kW/ft), Relocation Strain in (m/m))
# Element 0 (bottom block) | Element 1 (lower middle block) | Element 2 (upper middle block) | Element 3 (top block)
# Time (s) Heat Rate Analytical Relocation | Heat Rate Analytical Relocation | Heat Rate Analytical Relocation | Heat Rate Analytical Relocation
# 0.1 0.399995 0.0 | 0.79999 0.0 | 1.19999 0.0 | 1.59998 8.1270E-04
# 0.2 0.79999 0.0 | 1.59998 8.1270E-04 | 2.39997 1.2191E-03 | 3.19996 1.6254E-03
# 0.3 1.19999 0.0 | 2.39997 1.2191E-03 | 3.59996 1.8286E-03 | 4.79994 2.4381E-03
# 0.4 1.59998 8.1270E-04 | 3.19996 1.6254E-03 | 4.79994 2.4381E-03 | 6.39992 3.2508E-03
# 0.5 1.99998 1.0159E-03 | 3.99995 2.0318E-03 | 5.99993 3.0476E-03 | 7.9999 4.0635E-03
# 0.6 2.39997 1.2191E-03 | 4.79994 2.4381E-03 | 7.19991 3.6572E-03 | 9.59988 4.8762E-03
# 0.7 2.79997 1.4222E-03 | 5.59993 2.8445E-03 | 8.3999 4.2667E-03 | 11.1999 5.6889E-03
# 0.8 3.19996 1.6254E-03 | 6.39992 3.2508E-03 | 9.59988 4.8762E-03 | 12.7998 6.5016E-03
# 0.9 3.59996 1.8286E-03 | 7.19991 3.6572E-03 | 10.7999 5.4858E-03 | 14.3998 7.8220E-03
# 1.0 3.99995 2.0318E-03 | 7.9999 4.0635E-03 | 11.9999 6.0953E-03 | 15.9998 1.0667E-02
# 1.1 1.99998 2.0318E-03 | 3.99995 4.0635E-03 | 5.99993 3.0476E-03 | 7.9999 1.0667E-02
# 1.2 3.99995 2.0318E-03 | 7.9999 4.0635E-03 | 11.9999 3.0476E-03 | 15.9998 1.0667E-02
# 1.3 4.39995 2.2349E-03 | 8.79989 4.4699E-03 | 13.1998 6.7048E-03 | 17.5998 1.3511E-02
# 1.4 4.79994 2.4381E-03 | 9.59988 4.8762E-03 | 14.3998 7.8220E-03 | 19.1998 1.6356E-02
# 1.5 5.19994 2.6413E-03 | 10.3999 5.2826E-03 | 15.5998 9.9554E-03 | 20.7997 1.9200E-02
# 1.6 5.59993 2.8445E-03 | 11.1999 5.6889E-03 | 16.7998 1.2089E-02 | 22.3997* 2.2044E-02
# 1.7 5.99993 3.0476E-03 | 11.9999 6.0953E-03 | 17.9998 1.4222E-02 | 23.9997* 2.4889E-02
#
# At time 1.1, the power rate and the average linear heat rate dip back down, and the relocation strain
# should not decrease. In the BISON simulation, as in the analytical results shown above, the
# relocation strain at time 1.1 remains constant at the value from time 1.0s.
# (*) The theory manual gives the upper limit of the ESCORE relocation models as 22.0 kW/ft; values
# for the top pellet are calculated with heat rates in excess of 22 kW/ft, and BISON will print
# at warning for these qps.
#
# In the incremental strain simulation, the BISON results match the analytical expected solution,
# as shown with the postprocessor output in the simulation.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = multi_elem_detached_rz.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12'
[]
[time_q]
type = PiecewiseLinear
#Ramp up, down, and back up to test irreversibility of relocation strains
x = '0.0 1.0 1.1 1.2 1.7'
y = '0.0 16.0 8.0 16.0 24.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[axial_q]
type = PiecewiseLinear
x = '0.0 1.2 1.8 3.2 3.8 5.2 5.8 7.0' #axial position
y = '0.25 0.25 0.5 0.5 0.75 0.75 1.0 1.0' # scale factor
axis = y
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = 'initial linear'
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[]
[BCs]
[y_axis]
type = DirichletBC
variable = disp_x
boundary = 2
value = 0.0
[]
[x_axis]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[relocation]
type = UO2RelocationEigenstrain
block = 1
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = time_q
axial_power_profile = axial_q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 7.5e-5
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 1.5 #1.7
[]
[Postprocessors]
[total_relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[relocation_0]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[relocation_1]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
[]
[relocation_2]
type = ElementalVariableValue
variable = relocation_strain
elementid = 2
[]
[relocation_3]
type = ElementalVariableValue
variable = relocation_strain
elementid = 3
[]
[total_strain]
type = ElementAverageValue
variable = total_strain_rr
[]
[]
[Outputs]
exodus = true
file_base = relocation_vary_q_rz_out
[]
(assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_Rodlets_Base.i)
# This file contains all characteristics common to the entire assessment
# NOTE: It requires information contained in rod-specific input files and is therefore not designed to run
# on its own
# Fuel material properties
initial_fuel_density = 10321.2 # kg/m^3 (94% TD = 10980 kg/m^3)
fuel_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 = 0.00324 # m
a_upper = 0.545022 # m
fuel_outer_radius = 0.0044515 # m
fuel_volume_ratio = 1.0 # (-)
fuel_diameter = 0.008903 # m
diametral_gap = 1.9e-4 # m
# Neutronics, power, and isotope fractions
energy_per_fission = 3.2e-11 # J/fission
fast_neutron_flux_factor = 4.8e17 # n/m^2-s
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Temperature conditions
initial_temperature = 293.0 # K
stress_free_temperature = 293.0 # K
# Contact
contact_penalty = 1e14 # (-)
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
# Relocation
relocation_activation1 = 5000 # W/m
# Coolant pressure ramp parameters
pressure_ramp_factor = 15.51e6 # (-)
# Plenum parameters
initial_plenum_pressure = 2.1e6 # Pa
startup_time = 0 # s
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-K
# Numerical options
l_max_its = 100
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 = 1e2
TimeStepper_linear_iteration_ratio = 100
[GlobalParams]
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_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = ${clad_blockid}
[]
[fast_neutron_fluence]
block = ${clad_blockid}
[]
[grain_radius]
block = ${fuel_blockid}
initial_condition = ${initial_grain_radius}
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[flux]
type = PiecewiseLinear
data_file = ${flux_data_file}
format = columns
[]
[clad_temperature_bc]
type = PiecewiseBilinear
data_file = ${clad_temperature_bc_data_file}
axis = 1
[]
[]
[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_blockid}
burnup_function = burnup
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = ${clad_blockid}
axial_power_profile = axial_peaking_factors
function = flux
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = ${fuel_blockid}
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = ${clad_blockid}
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Burnup]
[burnup]
block = ${fuel_blockid}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
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
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
model = frictionless
normalize_penalty = true
penalty = ${contact_penalty}
[]
[]
[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 = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
quadrature = true
[]
[]
[BCs]
[clad_surface_temperature]
type = FunctionDirichletBC
boundary = ${clad_surface_temperature_boundary}
variable = temperature
function = clad_temperature_bc
[]
[Pressure]
[coolantPressure]
boundary = ${coolantPressure_boundary}
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 = ${PP_temperature}
volume = ${PP_volume}
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = ${fuel_blockid}
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ${fuel_elasticity_tensor_type}
block = ${fuel_blockid}
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = ${fuel_blockid}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = ${fuel_blockid}
thermal_expansion_coeff = ${fuel_thermal_expansion_coeff}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = ${fuel_thermal_expansion_eigenstrain_name}
[]
[fuel_relocation] # relocation strain measure for UO2
type = UO2RelocationEigenstrain
block = ${fuel_blockid}
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
burnup_relocation_stop = ${burnup_relocation_stop}
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = ${fuel_blockid}
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = ${fuel_volumetric_swelling_eigenstrain_name}
[]
[fuel_density]
type = StrainAdjustedDensity
block = ${fuel_blockid}
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = ${fuel_blockid}
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING
[]
[clad_thermal]
type = HeatConductionMaterial
block = ${clad_blockid}
thermal_conductivity = ${cladding_thermal_conductivity}
specific_heat = ${cladding_specific_heat}
[]
[clad_elasticity_tensor] # isotropic elasticity tensor for Zry cladding
type = ZryElasticityTensor
block = ${clad_blockid}
[]
[clad_stress] # stress update class to govern the return mapping algorithm for creep
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = ${clad_stress_inelastic_models}
block = ${clad_blockid}
[]
[clad_creep] # creep for zircaloy cladding
type = ZryCreepLimbackHoppeUpdate
block = ${clad_blockid}
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[clad_thermal_expansion]
type = ${clad_thermal_expansion_type}
block = ${clad_blockid}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = ${clad_thermal_expansion_eigenstrain_name}
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = ${clad_blockid}
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = ${clad_blockid}
strain_free_density = ${cladding_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'
verbose = ${verbose_option}
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}
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
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[max_fuel_temperature]
type = NodalExtremeValue
block = ${fuel_blockid}
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_fuel_temperature]
type = NodalExtremeValue
block = ${fuel_blockid}
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temperature]
type = NodalExtremeValue
block = ${clad_blockid}
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temperature]
type = NodalExtremeValue
block = ${clad_blockid}
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ${fis_gas_grain_Postpro_type}
block = ${fuel_blockid}
outputs = exodus
[]
[fis_gas_boundary]
type = ${fis_gas_boundary_Postpro_type}
block = ${fuel_blockid}
outputs = exodus
[]
[flux_from_clad]
type = ${clad_flux_Postpro_type}
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = ${fuel_flux_Postpro_type}
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = ${fuel_blockid}
variable = fission_rate
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 40
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(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'
[]
[]
(assessment/LWR/validation/IFA_681/analysis/rod3/IFA_681_rod3.i)
# Halden test IFA-681, rod 3
initial_fuel_density = 10522
[GlobalParams]
density = ${initial_fuel_density}. # 96.0% 10960
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 'mesh_ifa681r3_093_quad4.e'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[average_lhr]
type = PiecewiseLinear
data_file = 'alhr_history_ifa681r3.csv'
scale_factor = 1.e+03
format = columns
[]
[axial_scaling_lhr]
type = PiecewiseBilinear
data_file = 'peakfact_lhr_ifa681r3.csv'
axis = 1
[]
[coolant_inlet_temp]
type = PiecewiseLinear
data_file = 'coolant_inlet_temp_ifa681r3.csv'
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = 'fast_nflux_ifa681r3.csv'
scale_factor = 1.e+17
format = columns
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200. 0.'
y = ' 0. 1.'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
initial_condition = 6.55e-06
[]
[porosity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
initial_condition = 0.039
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 'clad'
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_3 pellet_type_4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[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
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel_pellets]
add_variables = false
block = 'pellet_type_3 pellet_type_4'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = false
block = 'clad'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_xx creep_strain_zz'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[uo2nat]
add_variables = false
block = 'pellet_type_2 pellet_type_5'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'uo2nat_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[al2o3]
add_variables = false
block = 'pellet_type_1 pellet_type_6'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'al2o3_thermal_eigenstrain'
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_type_3 pellet_type_4'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_3 pellet_type_4'
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
num_radial = 40
bias = 0.95
num_axial = 20
a_lower = 120.3e-03
a_upper = 520.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.095e-03
fuel_volume_ratio = 1.
isotopes = 'Gd155 Gd157 U235 U238'
isotope_fractions = '0.04 0.04 0.028 0.892 '
N155 = N155
N157 = N157
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.0e+7
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
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
kennard_coefficient = 0.2173
jump_distance_model = TOPTAN
roughness_primary = 1.0e-6
roughness_secondary = 2.0e-6
gap_conductance_model = TOPTAN
quadrature = true
normal_smoothing_distance = 0.1
[]
[pellet_to_pellet1]
type = GapHeatTransfer
variable = temp
primary = 21
secondary = 22
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet2]
type = GapHeatTransfer
variable = temp
primary = 23
secondary = 24
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet3]
type = GapHeatTransfer
variable = temp
primary = 25
secondary = 26
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet4]
type = GapHeatTransfer
variable = temp
primary = 27
secondary = 28
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet5]
type = GapHeatTransfer
variable = temp
primary = 29
secondary = 30
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[CoolantChannel]
# Halden HBWR under natural circulation (v=0.4m/s)
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_inlet_temp
inlet_pressure = 3.5e+06 # Pa
inlet_massflux = 360. # kg/m^2-s
flow_area = 0.000195
heated_diameter = 0.0261
heated_perimeter = 0.0298
hydraulic_diameter = 0.0261
htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
compute_enthalpy = true
linear_heat_rate = average_lhr
axial_power_profile = axial_scaling_lhr
oxide_thickness = oxide_thickness
[]
[]
[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 = 3.5e+06
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.e+06
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
[]
[]
[]
[Materials]
## fuel ##
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_3 pellet_type_4'
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_3 pellet_type_4'
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_3 pellet_type_4'
temperature = temp
thermal_expansion_coeff = 10.0e-06
stress_free_temperature = 295.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
burnup_function = burnup
temperature = temp
gas_swelling_model_type = SIFGRS
block = 'pellet_type_3 pellet_type_4'
initial_fuel_density = 10522. # 96.0% 10960
initial_porosity = 0.040
total_densification = 0.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_3 pellet_type_4'
burnup_function = burnup
diameter = 8.19e-03
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
diametral_gap = 170.e-06
burnup_relocation_stop = 1e20
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release_and_swelling]
type = UO2Sifgrs
block = 'pellet_type_3 pellet_type_4'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.040
diff_coeff_option = TURNBULL_D1_D2
transient_option = NO_TRANSIENT
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_3 pellet_type_4'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = TOPTAN
Gd_content = 0.08
initial_porosity = 0.040
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_3 pellet_type_4'
strain_free_density = ${initial_fuel_density}
[]
## uo2nat ##
[uo2nat_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_2 pellet_type_5'
youngs_modulus = 2.0e+11
poissons_ratio = 0.345
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_2 pellet_type_5'
[]
[uo2nat_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_2 pellet_type_5'
temperature = temp
thermal_expansion_coeff = 10.e-06
stress_free_temperature = 295.0
eigenstrain_name = 'uo2nat_thermal_eigenstrain'
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_2 pellet_type_5'
thermal_conductivity = 3.
specific_heat = 300.
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_2 pellet_type_5'
strain_free_density = ${initial_fuel_density}
[]
## al2o3 ##
[al2o3_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1 pellet_type_6'
youngs_modulus = 3.0e+11
poissons_ratio = 0.21
[]
[al2o3_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_6'
[]
[al2o3_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_6'
temperature = temp
thermal_expansion_coeff = 8.1e-06
stress_free_temperature = 295.0
eigenstrain_name = 'al2o3_thermal_eigenstrain'
[]
[al2o3_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_6'
thermal_conductivity = 18.
specific_heat = 880.
[]
[al2o3_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_6'
strain_free_density = 3800.
[]
## clad ##
[clad_elasticity]
type = ComputeIsotropicElasticityTensor
block = 'clad'
youngs_modulus = 7.5e+10
poissons_ratio = 0.3
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temp
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
stress_free_temperature = 295
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
use_coolant_channel = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
min_value = 295
max_value = 3000
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[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 100'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
line_search = 'none'
l_max_its = 200
nl_max_its = 30
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200.
n_startup_steps = 1
end_time = 223062317.
#num_steps = 20000
dtmax = 5.e+05
dtmin = 1.
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.e+02
optimal_iterations = 25
iteration_window = 5
timestep_limiting_function = average_lhr
force_step_every_function_point = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = average_lhr
[]
[fuel_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
[]
[TC_temp]
type = NodalVariableValue
variable = temp
nodeid = 797 # !! Mesh dependent
[]
[TCHoleBot_temp]
type = NodalVariableValue
variable = temp
nodeid = 50
[]
[TC_temp_node1]
type = NodalVariableValue
variable = temp
nodeid = 666
[]
[TC_temp_node2]
type = NodalVariableValue
variable = temp
nodeid = 665
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_3 pellet_type_4'
value_type = max
variable = temp
[]
[midplane_hoop_strain_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = strain_zz
[]
[midplane_hoop_stress_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = stress_zz
[]
[midplane_contact_pressure]
type = ElementalVariableValue
elementid = 189 # !! Mesh dependent
variable = contact_pressure
[]
[midplane_oxide_thickness]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = oxide_thickness
[]
[midplane_clad_outer_temp]
type = NodalVariableValue
nodeid = 1086 # !! Mesh dependent
variable = temp
[]
[midplane_clad_inner_temp]
type = NodalVariableValue
nodeid = 1088 # !! Mesh dependent
variable = temp
[]
[max_clad_outer_temp]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
[]
[max_fuel_outer_temp]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
[]
[midplane_coolant_htc]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = coolant_htc
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_3 pellet_type_4'
temperature = temp
[]
[VectorPostprocessors]
[Concentrations]
type = RadialProfileSampler
variable = 'disp_x'
sort_by = 'id'
burnup_function = burnup
quantity = 'N155 N157 N235 N236 N238 N239 N240 N241 N242 RPF fission_rate ntot_hm burnup'
height = 0.2
execute_on = timestep_end
outputs = 'Concentrations'
[]
[True]
type = RadialProfile
quantity = 'N235 N236 N238 N239 N240 N241 N242 N155 N157'
height = 0.2
burnup_function = burnup
outputs = 'True'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
exodus = true
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 5
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage max_fuel_temp'
execute_on = 'FINAL'
[]
[Concentrations]
type = CSV
file_base = 'Concentrations/'
[]
[True]
type = CSV
file_base = '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]
[]
(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'
[]
[]
(assessment/LWR/validation/IFA_681/analysis/rod2/IFA_681_rod2.i)
# Halden test IFA-681, rod 2
initial_fuel_density = 10533
[GlobalParams]
density = ${initial_fuel_density}. # 96.1% 10960
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/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 = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 'mesh_ifa681r2_093_quad4.e'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[average_lhr]
type = PiecewiseLinear
data_file = 'alhr_history_ifa681r2.csv'
scale_factor = 1.e+03
format = columns
[]
[axial_scaling_lhr]
type = PiecewiseBilinear
data_file = 'peakfact_lhr_ifa681r2.csv'
axis = 1
[]
[coolant_inlet_temp]
type = PiecewiseLinear
data_file = 'coolant_inlet_temp_ifa681r2.csv'
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = 'fast_nflux_ifa681r2.csv'
scale_factor = 1.e+17
format = columns
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200. 0.'
y = ' 0. 1.'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
initial_condition = 5.69e-06
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 'clad'
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_3 pellet_type_4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[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
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel_pellets]
add_variables = false
block = 'pellet_type_3 pellet_type_4'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = false
block = 'clad'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_xx creep_strain_zz'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[uo2nat]
add_variables = false
block = 'pellet_type_2 pellet_type_5'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'uo2nat_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[al2o3]
add_variables = false
block = 'pellet_type_1 pellet_type_6'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'al2o3_thermal_eigenstrain'
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_type_3 pellet_type_4'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_3 pellet_type_4'
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
num_radial = 40
bias = 0.95
num_axial = 20
a_lower = 120.3e-03
a_upper = 520.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.095e-03
fuel_volume_ratio = 1.
isotopes = 'Gd155 Gd157 U235 U238'
isotope_fractions = '0.01 0.01 0.0313 0.94861'
N155 = N155
N157 = N157
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.0e+7
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
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
kennard_coefficient = 0.2173
jump_distance_model = TOPTAN
roughness_primary = 1.0e-6
roughness_secondary = 2.0e-6
gap_conductance_model = TOPTAN
quadrature = true
normal_smoothing_distance = 0.1
[]
[pellet_to_pellet1]
type = GapHeatTransfer
variable = temp
primary = 21
secondary = 22
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet2]
type = GapHeatTransfer
variable = temp
primary = 23
secondary = 24
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet3]
type = GapHeatTransfer
variable = temp
primary = 25
secondary = 26
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet4]
type = GapHeatTransfer
variable = temp
primary = 27
secondary = 28
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet5]
type = GapHeatTransfer
variable = temp
primary = 29
secondary = 30
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[CoolantChannel]
# Halden HBWR under natural circulation (v=0.4m/s)
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_inlet_temp
inlet_pressure = 3.5e+06 # Pa
inlet_massflux = 360. # kg/m^2-s
flow_area = 0.000195
heated_diameter = 0.0261
heated_perimeter = 0.0298
hydraulic_diameter = 0.0261
htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
compute_enthalpy = true
linear_heat_rate = average_lhr
axial_power_profile = axial_scaling_lhr
oxide_thickness = oxide_thickness
[]
[]
[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 = 3.5e+06
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.e+06
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
[]
[]
[]
[Materials]
## fuel ##
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_3 pellet_type_4'
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_3 pellet_type_4'
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_3 pellet_type_4'
temperature = temp
thermal_expansion_coeff = 10.0e-06
stress_free_temperature = 295.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
burnup_function = burnup
temperature = temp
gas_swelling_model_type = SIFGRS
block = 'pellet_type_3 pellet_type_4'
initial_fuel_density = 10533. # 96.1% 10960
initial_porosity = 0.039
total_densification = 0.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_3 pellet_type_4'
burnup_function = burnup
diameter = 8.19e-03
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
diametral_gap =170.e-06
burnup_relocation_stop = 1e20
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release_and_swelling]
type = UO2Sifgrs
block = 'pellet_type_3 pellet_type_4'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.039
diff_coeff_option = TURNBULL_D1_D2
transient_option = NO_TRANSIENT
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_3 pellet_type_4'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = TOPTAN
Gd_content = 0.02
initial_porosity = 0.039
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_3 pellet_type_4'
strain_free_density = ${initial_fuel_density}
[]
## uo2nat ##
[uo2nat_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_2 pellet_type_5'
youngs_modulus = 2.0e+11
poissons_ratio = 0.345
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_2 pellet_type_5'
[]
[uo2nat_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_2 pellet_type_5'
temperature = temp
thermal_expansion_coeff = 10.e-06
stress_free_temperature = 295.0
eigenstrain_name = 'uo2nat_thermal_eigenstrain'
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_2 pellet_type_5'
thermal_conductivity = 3.
specific_heat = 300.
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_2 pellet_type_5'
strain_free_density = ${initial_fuel_density}
[]
## al2o3 ##
[al2o3_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1 pellet_type_6'
youngs_modulus = 3.0e+11
poissons_ratio = 0.21
[]
[al2o3_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_6'
[]
[al2o3_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_6'
temperature = temp
thermal_expansion_coeff = 8.1e-06
stress_free_temperature = 295.0
eigenstrain_name = 'al2o3_thermal_eigenstrain'
[]
[al2o3_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_6'
thermal_conductivity = 18.
specific_heat = 880.
[]
[al2o3_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_6'
strain_free_density = 3800.
[]
## clad ##
[clad_elasticity]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temp
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
stress_free_temperature = 295
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
use_coolant_channel = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
min_value = 295
max_value = 3000
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = ' lu superlu_dist 100'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
line_search = 'none'
l_max_its = 200
nl_max_its = 30
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -100.0
n_startup_steps = 1
end_time = 223062317
dtmax = 1.0e+06
dtmin = 0.01
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e+02
optimal_iterations = 25
iteration_window = 5
timestep_limiting_function = average_lhr
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = average_lhr
[]
[gas_volume]
type = InternalVolume
boundary = 9
[]
[fuel_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
[]
[TCHoleBot_temp]
type = NodalVariableValue
variable = temp
nodeid = 63 # !! Mesh dependent
[]
[TC_temp_node1]
type = NodalVariableValue
variable = temp
nodeid = 813
[]
[TC_temp_node2]
type = NodalVariableValue
variable = temp
nodeid = 805
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_3 pellet_type_4'
value_type = max
variable = temp
[]
[midplane_hoop_strain_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = strain_zz
[]
[midplane_hoop_stress_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = stress_zz
[]
[midplane_contact_pressure]
type = ElementalVariableValue
elementid = 189 # !! Mesh dependent
variable = contact_pressure
[]
[midplane_oxide_thickness]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = oxide_thickness
[]
[midplane_clad_outer_temp]
type = NodalVariableValue
nodeid = 1086 # !! Mesh dependent
variable = temp
[]
[midplane_clad_inner_temp]
type = NodalVariableValue
nodeid = 1088 # !! Mesh dependent
variable = temp
[]
[max_clad_outer_temp]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
[]
[max_fuel_outer_temp]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
[]
[midplane_coolant_htc]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = coolant_htc
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_3 pellet_type_4'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
exodus = true
perf_graph = true
[console]
type = Console
max_rows = 5
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage max_fuel_temp'
execute_on = 'FINAL'
[]
[]
(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/temperature_tables/layered1D_cases/1pt5D.i)
#
# This calculation originates in CASL, where there was a need to compute a fuel
# temperature table to be used in another application.
#
# The set of calculations done here through the 'examples' file can be visually
# checked by running './create_temp_table.py files.txt' and examining the
# raw_data.png file. The temperatures in the plot increase with increasing
# linear heat rate. At 15 kW/ft, it appears that the high power and centerline
# temperature cause a small gap and a relatively low rod average fuel
# temperature. If the centerline temperature is plotted instead, the expected
# increase in temperature with increase in linear heat rate is clear.
#
initial_fuel_density = 10257.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = disp_x
temperature = temp
volumetric_locking_correction = false
slice_heights = '0.03866 0.08211 0.08211 0.08211 0.08212 0.08211 0.08211 0.08211 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.08065 0.08065 0.08065 0.08065 0.08065 0.08065 0.0381 0.079212 0.079212 0.079212 0.079212 0.079212 0.16152' #VERA_DEFINED <<VERA MODIFIED>>
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
partitioner = centroid
centroid_partitioner_direction = y
patch_update_strategy = auto
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
clad_thickness = 0.00057
slices_per_block = 49
uniform_slice_heights = false
pellet_outer_radius = 0.004096
clad_gap_width = 8.4e-05
nx_p = 6
nx_c = 3
elem_type = EDGE3
bx_p = 0.5
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[terminator1]
type = Terminator
expression = 'burnup_EAV >= 0.0632'
[]
[terminator2]
type = Terminator
expression = 'plenum_pressure >= 1.55e7'
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 2.50e-06
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[vonmises]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[densification]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[relocation]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0.000000 10800 97200 500000000.000000'
# y = '0.000000 0.000000 16404.200000 16404.200000' #LHR5
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.00324 3.77797'
y = '0.000000 10800 97200 500000000.000000'
z = '1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000'
axis = 1
scale_factor = 1
[]
[bc_temperature]
type = PiecewiseBilinear
x = '0.00324 3.77797'
y = '0.000000 10800 97200 500000000.000000'
z = '300.000000 300.000000 585.000000 585.000000 585.000000 585.000000 585.000000 585.000000'
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
scale_factor = 1
x = '0 10800.0'
y = '0.00651 1.0'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.55132e+07
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[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 = fuel
fission_rate = fission_rate
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain fuel_swelling fuel_relocation'
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
group_scalar_vars_in_reference_residual = true
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
group_scalar_vars_in_reference_residual = true
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 100
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238'
isotope_fractions = '0.001 0.999'
fuel_volume_ratio = 1.0
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 = 4.29768e13
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 = temp
execute_on = linear
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain
block = clad
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
block = fuel
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
block = fuel
[]
[densification]
type = MaterialRealAux
variable = densification
property = densification
execute_on = timestep_end
block = fuel
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
execute_on = timestep_end
block = fuel
[]
[relocation_strain]
type = MaterialRealAux
variable = relocation
property = relocation_strain
execute_on = timestep_end
block = fuel
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
normalize_penalty = true
penalty = 5e13
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_secondary = 1e-06
roughness_coef = 1.5
roughness_primary = 1e-06
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
initial_moles = initial_moles
gas_released = fis_gas_released
tangential_tolerance = 1.0e-4
# quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.55132e+07
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.99948e+06
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[clad_coolant_surface]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = bc_temperature
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.017
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation
fuel_pin_geometry = pin_geometry
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 293.0
eigenstrain_name = fuelthermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
total_densification = 0.005
initial_fuel_density = 10257.0
eigenstrain_name = fuel_swelling
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
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
matpro_poissons_ratio = false
matpro_youngs_modulus = false
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLimbackHoppeUpdate
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 = zirlo
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
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 = clad
strain_free_density = 6560.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-5
[]
[]
[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 = true
l_max_its = 50
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 5e-5
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1e9
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = 0.5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[Predictor]
type = SimplePredictor
scale = 1.0
skip_times_old = '0 10800 97200'
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[average_clad_temp]
type = ElementAverageValue
block = clad
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = ElementExtremeValue
value_type = MAX
block = clad
variable = temp
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = ElementExtremeValue
value_type = MIN
block = clad
variable = temp
execute_on = 'initial timestep_end'
[]
[average_grain_radius]
type = ElementAverageValue
variable = grain_radius
block = fuel
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[_dt]
type = TimestepSize
[]
[nonlinear_its]
type = NumNonlinearIterations
[]
[linear_its]
type = NumLinearIterations
[]
[rod_average_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temp
execute_on = 'initial timestep_end'
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.6576
execute_on = 'initial timestep_end'
[]
[average_fission_rate]
type = AverageFissionRate
rod_ave_lin_pow = power_history
[]
[clad_hoop_stress_max]
type = ElementExtremeValue
value_type = MAX
variable = stress_zz
block = clad
execute_on = 'initial timestep_end'
[]
[clad_hoop_stress_min]
type = ElementExtremeValue
value_type = MIN
variable = stress_zz
block = clad
execute_on = 'initial timestep_end'
[]
[max_fuel_centerline_temp]
type = NodalExtremeValue
variable = temp
boundary = 12
execute_on = 'initial timestep_end'
[]
[max_fuel_surface_temp]
type = NodalExtremeValue
value_type = MAX
variable = temp
boundary = 10
execute_on = 'initial timestep_end'
[]
[max_gap_distance]
type = NodalExtremeValue
value_type = MAX
variable = penetration
boundary = 10
execute_on = 'initial timestep_end'
[]
[burnup_EAV]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[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
[]
[]
[Outputs]
perf_graph = true
exodus = false
color = false
[csv]
type = CSV
execute_on = 'initial timestep_end'
[]
[chkfile]
type = CSV
show = 'fission_gas_release plenum_pressure rod_average_fuel_temp max_fuel_centerline_temp burnup_EAV'
sync_only = true
sync_times = '0 10800 97200'
[]
[]
(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
[]
[]
(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/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
initial_fuel_density = 10430.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_9_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.262416
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseBilinear
data_file = average_coolant_htc.csv
axis = 1
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 200412461 200413048'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain
fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hoop_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_zz creep_strain_zz hoop_stress'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[rel]
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
penetration_variable = penetration
clad_inner_volume_addition = 2.73291E-06 # Addition of the volume to bring the starting total volume to 19cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
gap_thickness_threshold = 0.00039
axial_relocation_output_options = 'MASS_FRACTION'
mesh_generator = layered1D_mesh
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 199159200
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 199159200
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 1.9e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 200412431
end_time = 200413048
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10430.0
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
# axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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-3
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
# end_time = 199159200 # End base irradiation
# end_time = 200412431 # Begin Blowdown
end_time = 200413048 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '199159200 200312431 200411431 200412431 200412461 200413048'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
execute_on = 'initial timestep_end'
perf_graph = true
[outfile_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_one_elem_rz.i)
#
# This is a single element axisymmetric test to verify the implementation of
# the various relocation models. The burnup is held constant at different
# values and the average linear heating rate is varied from 0 to the maximum.
# The dimensions of the problem match those used in the spreadsheet included
# in this directory.
#
# Results:
# Time (s) Power Value (kW/ft) Analytical Relocation Strain (m/m) BISON Relocation Strain (m/m)
#
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = GeneratedMeshGenerator
dim = 2
xmax = 0.0041
ymax =0.01
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[contact_press]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = PiecewiseLinear
x = '0 2.3'
y = '0 0'
[]
[q]
type = PiecewiseLinear
x = '0 2.3'
y = '0 75459'
[]
[contact_pressure]
type = PiecewiseLinear
x = '0 2.3'
y = '0 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[contact_press]
type = FunctionAux
variable = contact_press
function = contact_pressure
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis] # Symmetry BC
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis] # Fix bottom of element
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = q
diametral_gap = 0.00016
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.05
end_time = 2.3
[]
[Postprocessors]
[relocation_strain_ave]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[elastic_strain_rr_ave]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr_ave]
type = ElementAverageValue
variable = total_strain_rr
[]
[disp_x_2]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_y_2]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[rod_power]
type = FunctionValuePostprocessor
function = q
scale_factor = 0.0003049
[]
[]
[Outputs]
exodus = true
csv = true
file_base = relocation_one_elem_rz_out
[]
(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/LWR/validation/IFA_677/analysis/IFA_677_Base.i)
# This is a partial input file that contains characteristics common to the entire assessment case
# NOTE: This file is not meant to be run on its own as it requires information contained in the .params files
# Fuel material properties
total_densification = 0.09e-2 # (-)
oxygen_to_metal_ratio = 2.002 # (-)
# Cladding material properties
cladding_density = 6550.0 # kg/m^3
# Cladding geometry
clad_inner_radius = 4.65e-3 # m
clad_outer_radius = 5.375e-3 # m
# Rod geometry
a_lower = 0.001025 # m
fuel_inner_radius = 0.0 # m
fuel_outer_radius = 0.4565e-02 # m
fuel_volume_ratio = 0.9940 # (-)
fuel_diameter = 9.13e-3 # m
diametral_gap = 170.e-6 # m
# Neutronics, power, and isotope fractions
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
# Temperature conditions
initial_temperature = 293.0 # K
stress_free_temperature = 293.0 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-200 0'
pressure_ramp_y = '0.0298 1'
pressure_ramp_factor = 3.4e6 # (-)
# Coolant Channel parameters
inlet_pressure = 3.4e+06 # Pa
inlet_massflux = 450. # kg/m^2-s
rod_diameter = 10.75e-03 # m
rod_pitch = 46.e-03 # m
htc_correlation_type = 2
# Contact
contact_penalty = 1e14 # (-)
roughness_primary = 5.0e-6
roughness_secondary = 0.32e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1 # m
# Relocation
relocation_activation1 = 5000 # W/m
# Plenum parameters
initial_plenum_pressure = 1.35e6 # Pa
startup_time = 0 # s
# Physical constants
gravitational_acceleration_constant = -9.81 # m/s^2
ideal_gas_constant = 8.3143 # J/mol-K
# Numerical options
l_max_its = 50
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
start_time = -200 # s
n_startup_steps = 1
dtmax = 5e5 # s
dtmin = 0.1 # s
TimeStepper_dt = 2e2 # s
TimeStepper_max_function_change = 1e20
# Postprocessor parameters
burnup_scaling_factor = 950.0 # (-)
time_days_scale_factor = 1.157407407e-5 # (-)
midplane_oxide_thickness_elementid = 629
outer_midplane_clad_temperature_nodeid = 763
fuel_central_temperature_nodeid = 337
clad_elongation_nodeid = 826
fuel_elongation_nodeid = 504
upper_TC_temperature_nodeid = 633
lower_TC_temperature_nodeid = 31
[GlobalParams]
displacements = 'disp_x disp_y'
temperature = temperature
order = FIRST
family = LAGRANGE
density = ${initial_fuel_density}
initial_porosity = ${initial_fuel_porosity}
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
initial_condition = ${initial_grain_radius}
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
scale_factor = 1e3
format = columns
[]
[corrected_power_history]
type = ParsedFunction
symbol_names = 'rod_average_burnup power_history'
symbol_values = 'burnup_MWdkgU power_history'
expression = 'if(rod_average_burnup < 14.5, power_history, 0.98 * power_history)'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
scale_factor = 1
axis = 1
[]
[power_correction]
type = PiecewiseBilinear
data_file = ${power_correction_data_file}
scale_factor = 1
axis = 1
[]
[corrected_axial_peaking_factors]
type = CompositeFunction
functions = 'axial_peaking_factors power_correction'
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[coolant_inlet_temperature]
type = PiecewiseLinear
data_file = ${coolant_inlet_temperature_data_file}
scale_factor = 1
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = ${fast_neutron_flux_data_file}
scale_factor = 1e4
format = columns
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[pellets]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_eigenstrain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_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 strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = ${gravitational_acceleration_constant}
[]
[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_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = corrected_power_history
axial_power_profile = corrected_axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
[]
[]
[AuxKernels]
[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
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = 1
property = effective_creep_strain
variable = effective_creep_strain
execute_on = 'timestep_end'
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = ${contact_penalty}
normal_smoothing_distance = ${normal_smoothing_distance}
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
contact_pressure = contact_pressure
quadrature = true
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
[]
[]
[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 = '20'
value = 0.0
[]
[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 = gas_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = coolant_inlet_temperature
inlet_pressure = ${inlet_pressure}
inlet_massflux = ${inlet_massflux}
rod_diameter = ${rod_diameter}
rod_pitch = ${rod_pitch}
htc_correlation_type = ${htc_correlation_type}
compute_enthalpy = true
linear_heat_rate = corrected_power_history
axial_power_profile = corrected_axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
thermal_conductivity_model = HALDEN #NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
total_densification = ${total_densification}
initial_fuel_density = ${initial_fuel_density}
gas_swelling_model_type = SIFGRS
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
relocation_model = ESCORE_modified
burnup_function = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = corrected_power_history
axial_power_profile = corrected_axial_peaking_factors
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = corrected_power_history
fragmentation_model = BARANI
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'fuel_creep'
tangent_operator = elastic
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_creep]
type = UO2CreepUpdate
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = ${initial_grain_radius}
oxygen_to_metal_ratio = ${oxygen_to_metal_ratio}
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = clad
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_primary_creep = true
model_thermal_creep = true
model_irradiation_creep = true
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${cladding_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
ig_bubble_model = NUCLEATION_RESOLUTION
diff_coeff_option = TURNBULL_D1_4D2_4D3
doping_type = CR2O3_DOPED
cr_doped_option = BEST_ESTIMATE_1773
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = MaxIncrement
max_increment = 20
variable = temperature
[]
[]
[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 = ${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}
timestep_limiting_function = power_history
max_function_change = ${TimeStepper_max_function_change}
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = corrected_power_history
execute_on = 'initial timestep_end'
[]
[temperature_fuel_max]
type = NodalExtremeValue
variable = temperature
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
execute_on = 'initial timestep_end'
[]
[burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[burnup_MWdkgU]
type = ScalePostprocessor
value = burnup
scaling_factor = ${burnup_scaling_factor}
[]
[time_days]
type = FunctionValuePostprocessor
function = t
scale_factor = ${time_days_scale_factor}
[]
[temperature_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = ${midplane_oxide_thickness_elementid}
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[temperature_clad_outer_midplane]
type = NodalVariableValue
nodeid = ${outer_midplane_clad_temperature_nodeid}
variable = temperature
execute_on = 'initial timestep_end'
[]
[temperature_fuel_central]
type = NodalVariableValue
variable = temperature
nodeid = ${fuel_central_temperature_nodeid}
execute_on = 'initial timestep_end'
[]
[gas_volume]
type = InternalVolume
boundary = '9'
execute_on = 'initial linear'
[]
[fission_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
execute_on = linear
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
execute_on = linear
[]
[fgr_percent]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_produced
execute_on = linear
[]
[clad_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${clad_elongation_nodeid}
[]
[fuel_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${fuel_elongation_nodeid}
[]
[upper_TC_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${upper_TC_temperature_nodeid}
[]
[lower_TC_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${lower_TC_temperature_nodeid}
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 15
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'lower_TC_temperature upper_TC_temperature fgr_percent plenum_pressure strain_clad_hoop_max'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(assessment/LWR/validation/IFA_535/analysis/rod_811/IFA_535_rod_811.i)
# IFA 535.6 rod 811 (Table & Figure references are to IFA-535.pdf)
initial_fuel_density = 10398.06
[GlobalParams]
density = ${initial_fuel_density} #Table 1 (PDF page 14), 94.7% TD #Assuming a TD of 10980.
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'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 20 # 50
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = ifa535_rod811.e
[]
[]
[UserObjects]
[fuelPinGeometry]
type = FuelPinGeometry
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 297.0
# If the initial diameter from the mesh
# is compared to the pre & post-ramp diameters, then they should probably
# be compared at the same cladding temperatures.
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
block = 'pellet_type_1'
initial_condition = 9.36e-6 # 2D grain radius 6um #From rod 810
#2.75e-6 #Table 3.2, 5.5/2 microns (Assuming 3D grain size)
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = avgPower_IFA535rod811.csv
format = columns
#direction = left
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axialPowerPeakingFactor_IFA535rod811.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 226461642 226461742 226465242 226465342 236293846 236294746'
y = '1.4475e-2 1 1 1.4475e-2 1.4475e-2 1 1 1.4475e-2'
[]
[cladTemp]
type = PiecewiseLinear
data_file = avgCladTemp_IFA535rod811.csv
format = columns
#direction = left
scale_factor = 1
[]
[cladPeakingFactors]
type = PiecewiseBilinear
data_file = axialCladTempPeakingFactor_IFA535rod811.csv
scale_factor = 1
axis = 1
[]
[cT]
type = CompositeFunction
functions = 'cladTemp cladPeakingFactors'
[]
[fluxFactor]
type = PiecewiseLinear
data_file = flux_IFA535rod811.csv
format = columns
#direction = left
scale_factor = 1
[]
[fluxValue]
type = CompositeFunction
functions = 'fluxFactor power_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
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'
decomposition_method = EigenSolution
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
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'
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' # fission rate applied to the fuel (block 2) only
#fission_rate = fission_rate # coupling to the fission_rate aux variable
burnup_function = burnup
#fuel_pin_geometry = fuelPinGeometry
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuelPinGeometry
#a_upper = 337.53e-3 #317.4e-3+20.13e-3 (a_lower+pellet_height),top of fuel stack
#a_lower = 20.13e-3 #From top_bot_clad_height #18.5e-3 #bottom of fuel stack, Figure 3.1
#fuel_inner_radius = 0
#fuel_outer_radius = 4.569e-3 #Table 3.2, from diameter
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0988 0.9012 0 0 0 0'
fuel_volume_ratio = 1.0
#fuel_volume_ratio = 0.9756625712887741 #(dimple fraction) from calculations in fuel_volume_ratio.ipynb
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
axial_power_profile = axial_peaking_factors
#rod_ave_lin_pow = power_profile
#factor = 3.71098e13 #from fluxCalc.xlsx #8.025e17 #Table 3.7, avg. of cycles 8-11, converted to n/(m^2-s)
function = fluxValue
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_type_1'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
# Define mechanical contact between the
# fuel (sideset=10) and the clad (sideset=5)
primary = 5
secondary = 10
#penalty = 1e7 #for kinematic (default method is kinematic)
formulation = penalty #penalty method - same as rod810
penalty = 1e9
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
# Define thermal contact between the
# fuel (sideset=10) and the clad (sideset=5)
type = GasGapHeatTransfer
variable = temp
primary = 5 #'4 5 6' #5
secondary = 10 #8 #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_secondary = 1e-6 #default
roughness_primary = 2e-6 #use 2e-6 instead of default
roughness_coef = 3.2 #use 3.2 unless know better
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 226461742
refab_gas_types = He
refab_fractions = 1
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[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 = 20
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7e6 #pp. 8 of "535.pdf"
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 = 0.1e6 #from pp.6 of "535.pdf" for IFA-409
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
refab_time = 226461742 #226465242 #217722744
refab_pressure = .76e6 #3.2e6
refab_temperature = 298.15 #449.05
refab_volume = 9.6e-6
displacements = 'disp_x disp_y'
[]
[]
[claddingSurfTemp]
type = FunctionDirichletBC
function = cT
boundary = '1 2 3' #2 # cladding boundary
variable = temp
[]
[]
[Materials]
[density_clad]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6551.0 #Check this value; cladding is Zr-2
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'pellet_type_1'
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
# temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
initial_porosity = .053 #(1-density/theoreticalDensity)
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 = 297.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation] # relocation strain measure for UO2
type = UO2RelocationEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
fuel_pin_geometry = fuelPinGeometry
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.2 #0.02
relocation_activation1 = 5000
eigenstrain_name = fuel_relocation_eigenstrain
[]
[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_creep'
block = 'clad'
[]
[clad_creep] # 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 = 297.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_growth
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
initial_fuel_density = 10398.06
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1'
temperature = temp
#fission_rate = fission_rate # coupling to fission_rate aux variable
#initial_grain_radius = 9.36e-6 # 2D grain radius 6um #From rod 810
#2.75e-6 #Table 3.2, 5.5/2 microns (Assuming 3D grain size)
grain_radius = grain_radius
gbs_model = true
#burnup = burnup
burnup_function = burnup
#total_densification = 0.009 #Leave at default
initial_porosity = .053 #(1-density/theoreticalDensity)
transient_option = MICROCRACKING
#compute_swelling = true
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200
min_value = 200
variable = temp
[]
# [limitDisp]
# type = MaxIncrement
# max_increment = 1e-5
# variable = disp_x
# []
[]
[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'
# 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 #1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 236294746 #last time step from avgPower_IFA535rod811.csv
dtmax = 2e6 #1e6
dtmin = 1
# direct control of time steps vs time (optional)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
force_step_every_function_point = true
timestep_limiting_function = power_profile
max_function_change = 3e20
optimal_iterations = 20 #15
iteration_window = 6
linear_iteration_ratio = 100
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
# volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
[]
[avg_clad_temp]
# average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = 'pellet_type_1'
[]
[input_rod_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[maxCenterlineTemp]
type = NodalExtremeValue
boundary = 12 # pellet_centerline
variable = temp
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
value_type = min
variable = penetration
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
#checkpoint = true
#execute_on = 'nonlinear timestep_end'
csv = true
exodus = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[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/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/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
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part2_gas_communication_checkpoint2_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
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
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
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
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
# initial_moles = initial_moles
# gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
#axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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 = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
#hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'gap_layer_pressure_max < 101325.01'
execute_on = 'TIMESTEP_END'
[]
[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'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
equilibrium_pressure = 7.5e5
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dt = .1
end_time = 172489651 # End
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_3'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_3'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
[exodus3]
type = Exodus
file_base = IFA_650_4_gas_part3_out
execute_on = 'initial timestep_end'
[]
[checkpoint3]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_3]
type = CSV
#execute_on = 'FINAL'
#create_final_symlink = true
file_base = 'clad3/new'
[]
[outfile_temp_3]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_3]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(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
[]
(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/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
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part1_gas_communication_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[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
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[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
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
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 = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
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
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
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
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # 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'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
# initial_moles = initial_moles
# gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 172489043
end_time = 172489661
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
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 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
#axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
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 = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
#hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[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'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 3.0 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
exodus = true
[exodus2]
type = Exodus
file_base = IFA_650_4_gas_part2_out
execute_on = 'initial timestep_end'
[]
[checkpoint2]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_2]
type = CSV
#execute_on = 'FINAL'
#create_final_symlink = true
file_base = 'clad2/new'
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(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'
[]
[]
(examples/1.5D_rodlet_10pellets/1_5D.i)
# Model is of a 10 pellet stack of fuel modeled in 1.5d
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
temperature = temperature
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.00056
fuel_height = 0.1186
plenum_height = 0.027
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temperature]
initial_condition = 580.0 # set initial temperature to coolant inlet
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[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
block = clad
[]
[creep_strain]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[densification]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[relocation]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[]
[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] # 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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.5e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[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 = fuel # fission rate applied to the fuel (block 2) only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
eigenstrain_names = 'fuelthermal_strain swelling_strain fuel_relocation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
extra_vector_tags = 'ref'
outputs = none
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
block = clad
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
extra_vector_tags = 'ref'
outputs = none
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
order = CONSTANT
family = MONOMIAL
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
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 = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain
block = clad
execute_on = timestep_end
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
block = fuel
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
block = fuel
[]
[densification]
type = MaterialRealAux
variable = densification
property = densification
execute_on = timestep_end
block = fuel
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
execute_on = timestep_end
block = fuel
[]
[relocation_strain]
type = MaterialRealAux
variable = relocation
property = relocation_strain
execute_on = timestep_end
block = fuel
[]
[]
[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 # 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]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = 2
function = pressure_ramp # use the pressure_ramp function defined above
factor = 15.5e6
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.314
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
variable = temperature
boundary = 2
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 = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuelthermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = fuel
gas_swelling_model_type = SIFGRS
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = swelling_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000.0
burnup_relocation_stop = 0.024
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
gbs_model = true
grain_radius = grain_radius
[]
[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
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'zrycreep'
[]
[zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
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
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[]
[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 = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
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
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol] # volume inside of cladding
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
#outputs = exodus
[]
[pellet_volume] # fuel pellet total volume
type = LayeredInternalVolumePostprocessor
boundary = 8
# scale_factor = -1
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
#outputs = exodus
[]
[avg_clad_temp] # average temperature of cladding interior
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced] # fission gas produced (moles)
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[_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 = LayeredElementIntegralPowerPostprocessor
variable = temperature
burnup_function = burnup
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temperature
[]
[central_fuel_temp]
type = NodalVariableValue
nodeid = 262 #Mesh dependent (0.0041, 0.05661)
variable = temperature
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
### Comparisons for 1.5D work, mesh specific #################### # von Mises Stress
[top_vonMises_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = vonmises_stress
[]
[center_vonMises_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = vonmises_stress
[]
[bottom_vonMises_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = vonmises_stress
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = fuel
[]
[top_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = vonmises_stress
[]
[top_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = vonmises_stress
[]
[center_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = vonmises_stress
[]
[center_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = vonmises_stress
[]
[bottom_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = vonmises_stress
[]
[bottom_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = vonmises_stress
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
# radial stress
[top_stress_rr_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = stress_xx
[]
[center_stress_rr_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = stress_xx
[]
[bottom_stress_rr_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = stress_xx
[]
[average_stress_rr_fuel]
type = ElementAverageValue
variable = stress_xx
block = fuel
[]
[top_stress_rr_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = stress_xx
[]
[top_stress_rr_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = stress_xx
[]
[center_stress_rr_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = stress_xx
[]
[center_stress_rr_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = stress_xx
[]
[bottom_stress_rr_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = stress_xx
[]
[bottom_stress_rr_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = stress_xx
[]
[average_stress_rr_clad]
type = ElementAverageValue
variable = stress_xx
block = clad
[]
# radial strain
[top_strain_rr_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = strain_xx
[]
[center_strain_rr_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = strain_xx
[]
[bottom_strain_rr_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = strain_xx
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = strain_xx
block = fuel
[]
[top_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = strain_xx
[]
[top_strain_rr_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = strain_xx
[]
[center_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = strain_xx
[]
[center_strain_rr_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = strain_xx
[]
[bottom_strain_rr_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = strain_xx
[]
[bottom_strain_rr_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = strain_xx
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = strain_xx
block = clad
[]
# effective creep strain
[top_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = creep_strain
[]
[top_creep_strain_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = creep_strain
[]
[center_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = creep_strain
[]
[center_creep_strain_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = creep_strain
[]
[bottom_creep_strain_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = creep_strain
[]
[bottom_creep_strain_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = creep_strain
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = creep_strain
block = clad
[]
### Nodal displacements
[top_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
[top_disp_r_clad_inner]
type = NodalVariableValue
variable = disp_x
nodeid = 63 #mesh dependent, at (0.00418, 0.09219)
[]
[top_disp_r_clad_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 68 #mesh dependent, at (0.00474, 0.09219)
[]
[center_disp_r_clad_inner]
type = NodalVariableValue
variable = disp_x
nodeid = 36 #mesh dependent, at (0.00418, 0.05661)
[]
[center_disp_r_clad_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 43 #mesh dependent, at (0.00474, 0.05661)
[]
[bottom_disp_r_clad_inner]
type = NodalVariableValue
variable = disp_x
nodeid = 9 #mesh dependent, at (0.00418, 0.02103)
[]
[bottom_disp_r_clad_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 16 #mesh dependent, at (0.00418, 0.02103)
[]
### Nodal temperatures
[top_temp_fuel]
type = NodalVariableValue
variable = temperature
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_temp_fuel]
type = NodalVariableValue
variable = temperature
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_temp_fuel]
type = NodalVariableValue
variable = temperature
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
[top_temp_clad_inner]
type = NodalVariableValue
variable = temperature
nodeid = 63 #mesh dependent, at (0.00418, 0.09219)
[]
[top_temp_clad_outer]
type = NodalVariableValue
variable = temperature
nodeid = 68 #mesh dependent, at (0.00474, 0.09219)
[]
[center_temp_clad_inner]
type = NodalVariableValue
variable = temperature
nodeid = 36 #mesh dependent, at (0.00418, 0.05661)
[]
[center_temp_clad_outer]
type = NodalVariableValue
variable = temperature
nodeid = 43 #mesh dependent, at (0.00474, 0.05661)
[]
[bottom_temp_clad_inner]
type = NodalVariableValue
variable = temperature
nodeid = 9 #mesh dependent, at (0.00418, 0.02103)
[]
[bottom_temp_clad_outer]
type = NodalVariableValue
variable = temperature
nodeid = 16 #mesh dependent, at (0.00418, 0.02103)
[]
### Nodal penetration
[top_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
### Nodal contact pressure
[top_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
### End of 1.5D comparisons
[center_effective_creep_rate_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent
variable = creep_strain_rate
[]
[center_effective_creep_rate_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent
variable = creep_strain_rate
[]
[effective_creep_strain_rate]
type = ElementAverageValue
variable = creep_strain_rate
block = clad
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[densification]
type = ElementAverageValue
variable = densification
block = fuel
[]
[volumetric_swelling]
type = ElementAverageValue
variable = volumetric_swelling_strain
block = fuel
[]
[relocation]
type = ElementAverageValue
variable = relocation
block = fuel
[]
[]
[VectorPostprocessors]
[clad]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'clad_radial_displacement'
[]
[pellet]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'fuel_radial_displacement'
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_twentyslice.i)
# Model is of a 20 slice pellet stack in 1.5D
# Top plenum height of 295.07 mm + bot_gap_height = 1.e-3 in 2D mesh
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = disp_x
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.0041275
clad_gap_width = 8.89e-5
clad_thickness = 6.35e-4
fuel_height = 3.81381
plenum_height = 0.29607
slices_per_block = 20
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 300.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
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
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[vonmises_stress]
order = CONSTANT
family = MONOMIAL
[]
[hydrostatic_stress]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_xx]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_xy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_zz]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads an input file containing rod average linear power vs time
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
# reads an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads an input data defining amplitude curve for coolant pressure
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]
# reads an input file containing the axial power profile vs time
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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.517e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain fuel_volumetric_strain'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
fuel_pin_geometry = pin_geometry
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
fuel_volume_ratio = 1.0
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = fuel
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
[]
[stress_xx] # computes stress components for output
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hydrostatic_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hydrostatic_stress
scalar_type = VonMisesStress
execute_on = timestep_end
block = fuel
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = timestep_end
[]
[creep_strain_xy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xy
index_i = 0
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic
penalty = 1e7
model = frictionless
[]
[]
[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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
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
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.517e6
function = pressure_ramp # use the pressure_ramp function defined above
displacements = 'disp_x'
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = pin_geometry
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 = fuel
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
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 = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
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
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
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = ' lu'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 1e-4 #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 = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
fuel_pin_geometry = pin_geometry
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = fuel
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_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 231 # Global node id 232, at coordinates (0.0, 1.71774, 0.0)
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[max_penetration]
type = NodalExtremeValue
block = fuel
value_type = max
variable = penetration
[]
[min_penetration]
type = NodalExtremeValue
block = fuel
value_type = min
variable = penetration
[]
[max_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[top_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 847 #coords (0.0041275, 3.62274)
[]
[top_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 153 #coords (0.0042164, 3.62274)
[]
[plenum_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 180 #coords (0.0042164, 3.96053)
[]
[top_radial_strain_fuel]
type = ElementalVariableValue
variable = strain_xx
elementid = 403
[]
[top_axial_strain_fuel]
type = ElementalVariableValue
elementid = 403
variable = strain_yy
[]
[top_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 72
[]
[top_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 72
[]
[plenum_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 80
[]
[plenum_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 80
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[pellet_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_surface_temp'
#[]
#[pellet_center_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 12
# sort_by = y
# outputs = 'outfile_FCT'
#[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[outfile_fuel_surface_temp]
# type = CSV
# execute_on = linear
#[]
#[outfile_FCT]
# type = CSV
# execute_on = linear
#[]
[console]
type = Console
max_rows = 25
[]
[]
(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/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'
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_gapcon_rz.i)
#
# Analytical solution for burnup = 0 and varying linear power from 0 to 25 kW/ft
# for GAPCON relocation model
#
# Power (kW/ft) Relocation Strain
# 0 0.00065957
# 1 0.00081745
# 2 0.00097533
# 3 0.00113322
# 4 0.00129110
# 5 0.00144898
# 6 0.00160687
# 7 0.00176475
# 8 0.00192263
# 9 0.00208052
# 10 0.00223840
# 11 0.00239628
# 12 0.00255417
# 13 0.00271205
# 14 0.00286993
# 15 0.00302782
# 16 0.00318570
# 17 0.00334358
# 18 0.00350147
# 19 0.00365935
# 20 0.00381723
# 21 0.00397512
# 22 0.00413300
# 23 0.00429088
# 24 0.00444877
# 25 0.00460665
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 0.004555
nx = 1
ymin = 0.0
ymax = 0.01
ny = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_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
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.0'
[]
[q]
type = PiecewiseLinear
x = '0.0 2.5'
y = '0.0 25.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = 'initial linear'
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
variable = elastic_strain_rr
rank_two_tensor = elastic_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[]
[BCs]
[y_axis]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0.0
[]
[x_axis]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[relocation]
type = UO2RelocationEigenstrain
burnup = burnup
diameter = 0.00911
rod_ave_lin_pow = q
diametral_gap =0.00016
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_model = GAPCON
[]
[density]
type = StrainAdjustedDensity
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 2.5
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
[]
[dispx_outer]
type = NodalVariableValue
variable = disp_x
nodeid = 2
[]
[]
[Outputs]
exodus = true
file_base = relocation_gapcon_rz_0_out
[chkfile]
type = CSV
[]
[]
(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_535/analysis/rod_812/IFA_535_rod_812.i)
# IFA 535.6 rod 812 (Table & Figure references are to IFA-535.pdf)
initial_fuel_density = 10398.06
[GlobalParams]
density = ${initial_fuel_density} #Table 1 (PDF page 14), 94.7% TD #Assuming a TD of 10980.
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'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 20 # 50
patch_update_strategy = auto
[mesh]
type = FileMeshGenerator
file = ifa535_rod812.e
[]
[]
[UserObjects]
[fuelPinGeometry]
type = FuelPinGeometry
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 297.0
# If the initial diameter from the mesh
# is compared to the pre & post-ramp diameters, then they should probably
# be compared at the same cladding temperatures.
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
block = 'pellet_type_1'
initial_condition = 9.36e-6 # 2D grain radius 6um #From rod 810
#2.75e-6 #Table 3.2, 5.5/2 microns (Assuming 3D grain size)
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
data_file = avgPower_IFA535rod812.csv
format = columns
#direction = left
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axialPowerPeakingFactor_IFA535rod812.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 212261117 212261147 212264717 212264747 222089867 222090767'
y = '1.4475e-2 1 1 1.4475e-2 1.4475e-2 1 1 1.4475e-2'
[]
[cladTemp]
type = PiecewiseLinear
data_file = avgCladTemp_IFA535rod812.csv
format = columns
#direction = left
scale_factor = 1
[]
[cladPeakingFactors]
type = PiecewiseBilinear
data_file = axialCladTempPeakingFactor_IFA535rod811.csv
scale_factor = 1
axis = 1
[]
[cT]
type = CompositeFunction
functions = 'cladTemp cladPeakingFactors'
[]
[fluxFactor]
type = PiecewiseLinear
data_file = flux_IFA535rod811.csv
format = columns
#direction = left
scale_factor = 1
[]
[fluxValue]
type = CompositeFunction
functions = 'fluxFactor power_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
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'
decomposition_method = EigenSolution
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
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'
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' # fission rate applied to the fuel (block 2) only
#fission_rate = fission_rate # coupling to the fission_rate aux variable
burnup_function = burnup
#fuel_pin_geometry = fuelPinGeometry
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuelPinGeometry
#a_upper = 337.53e-3 #317.4e-3+20.13e-3 (a_lower+pellet_height),top of fuel stack
#a_lower = 20.13e-3 #From top_bot_clad_height #18.5e-3 #bottom of fuel stack, Figure 3.1
#fuel_inner_radius = 0
#fuel_outer_radius = 4.569e-3 #Table 3.2, from diameter
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0988 0.9012 0 0 0 0'
fuel_volume_ratio = 1.0
#fuel_volume_ratio = 0.9756625712887741 #(dimple fraction) from calculations in fuel_volume_ratio.ipynb
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
axial_power_profile = axial_peaking_factors
#rod_ave_lin_pow = power_profile
#factor = 3.71098e13 #from fluxCalc.xlsx #8.025e17 #Table 3.7, avg. of cycles 8-11, converted to n/(m^2-s)
function = fluxValue
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_type_1'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
# Define mechanical contact between the
# fuel (sideset=10) and the clad (sideset=5)
primary = 5
secondary = 10
#penalty = 1e7 #for kinematic (default method is kinematic)
formulation = penalty #used by rod 810
penalty = 1e9
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
# Define thermal contact between the
# fuel (sideset=10) and the clad (sideset=5)
type = GasGapHeatTransfer
variable = temp
primary = 5 #'4 5 6' #5
secondary = 10 #8 #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_secondary = 1e-6 #default
roughness_primary = 2e-6 #use 2e-6 instead of default
roughness_coef = 3.2 #use 3.2 unless know better
plenum_pressure = plenum_pressure
jump_distance_model = LANNING
refab_time = 212261147
refab_gas_types = He
refab_fractions = 1
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[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 = 20
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7e6 #pp. 8 of "535.pdf"
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 = 0.1e6 #from pp.6 of "535.pdf" for IFA-409
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
refab_time = 212261147 #212264717 #217722744
refab_pressure = 3.21e6
refab_temperature = 298.15 #449.05
refab_volume = 9.6e-6
displacements = 'disp_x disp_y'
[]
[]
[claddingSurfTemp]
type = FunctionDirichletBC
function = cT
boundary = '1 2 3' #2 # cladding boundary
variable = temp
[]
[]
[Materials]
[density_clad]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6551.0 #Check this value; cladding is Zr-2
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'pellet_type_1'
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
# temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
initial_porosity = .053 #(1-density/theoreticalDensity)
thermal_conductivity_model = NFIR # thermal conductivity model (independent of reactor type)
[]
[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 = 297.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation] # relocation strain measure for UO2
type = UO2RelocationEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
fuel_pin_geometry = fuelPinGeometry
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.2 #0.02
relocation_activation1 = 5000
eigenstrain_name = fuel_relocation_eigenstrain
[]
[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_creep'
block = 'clad'
[]
[clad_creep] # 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 = 297.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_growth
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1'
temperature = temp
burnup_function = burnup
initial_fuel_density = 10398.06
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1'
temperature = temp
#fission_rate = fission_rate # coupling to fission_rate aux variable
#initial_grain_radius = 9.36e-6 # 2D grain radius 6um #From rod 810
#2.75e-6 #Table 3.2, 5.5/2 microns (Assuming 3D grain size)
grain_radius = grain_radius
gbs_model = true
burnup_function = burnup
#total_densification = 0.009 #Leave at default
initial_porosity = .053 #(1-density/theoreticalDensity)
transient_option = MICROCRACKING
#compute_swelling = true
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200.0
min_value = 200
[]
# [limitDisp]
# 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
line_search = 'none'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
# 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 #1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 222090767 #last time step from avgPower_IFA535rod812.csv
dtmax = 2e6 #1e6
dtmin = 1
# direct control of time steps vs time (optional)
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e2
force_step_every_function_point = true
timestep_limiting_function = power_profile
max_function_change = 3e20
optimal_iterations = 20 #15
iteration_window = 6
linear_iteration_ratio = 100
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[clad_inner_vol]
# volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
[]
[avg_clad_temp]
# average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
[]
[ave_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = 'pellet_type_1'
[]
[input_rod_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[maxCenterlineTemp]
type = NodalExtremeValue
boundary = 12 # pellet_centerline
variable = temp
[]
[maxFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
variable = penetration
[]
[minFuelPenetration]
type = NodalExtremeValue
boundary = 10 # pellet_centerline
value_type = min
variable = penetration
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[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_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_CABRI_REP_Na4/analysis/REP_Na_4/RIA/REP_Na_4_RIA.i)
# REP Na 4 RIA
initial_fuel_density = 10476.35
[GlobalParams]
density = ${initial_fuel_density} # assumed TD = 10970
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
coord_type = RZ
type = AugmentedLagrangianContactProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
maximum_lagrangian_update_iterations = 200
acceptable_iterations = 30
acceptable_multiplier = 10
[]
[Mesh]
patch_size = 40
#patch_update_strategy = auto
#partitioner = centroid
#centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = REP_Na4.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[]
[]
[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 pellet_type_2 pellet_type_3'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[fuel_cond]
order = CONSTANT
family = MONOMIAL
[]
[swelling_strain]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_axial_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_flux]
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
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_mag]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[SED]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = REPNa4_power_history_Full.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = REPNa4_axial_peaking_Full.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # inlet coolant pressure evolution
type = PiecewiseLinear
format = columns
scale_factor = 1.0
xy_data = '0 101325
8640 15499970
124675200 15499970
124718400 101325
125193600 101325
125193610 101325
125193650 500008
125193700 500008
125193900 500008
125194000 101325
125194100 101325'
[]
[temp_ramp] # inlet coolant temp evolution
type = PiecewiseLinear
format = columns
scale_factor = 1.0
xy_data = '0 293.15
8640 591
20476800 591
21859200 600
47692800 600
51840000 593
72144000 593
73440000 586
96940800 586
99360000 583
124675200.0 583
124761600.0 293.150
125193600.0 293.150
125193650.0 553.150
125193900.0 553.150
125194000.0 293.150
125194100.0 293.150'
[]
[burnup_GWd]
type = ParsedFunction
expression = bu*950
symbol_names = 'bu'
symbol_values = 'average_burnup'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz axial_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 'clad'
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 strain_xx
strain_yy strain_zz plastic_strain_xx plastic_strain_yy plastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx
elastic_strain_yy elastic_strain_zz hoop_stress axial_stress'
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 conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.5678974
a_lower = 0.0045
fuel_inner_radius = 0
fuel_outer_radius = 0.0040959
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0449 0.9551 0 0 0 0'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_profile
factor = 3e13 #n/m2-s
block = 'clad'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
block = 'clad'
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[fuel_conductance]
type = MaterialRealAux
property = thermal_conductivity
variable = fuel_cond
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[swelling_strain]
type = MaterialRealAux
property = volumetric_swelling_strain
variable = swelling_strain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = axial_creep_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = hoop_plastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = axial_plastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[total_axial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_axial_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = axial_elastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[plastic_strain_mag]
type = MaterialRealAux
property = effective_plastic_strain
variable = plastic_strain_mag
block = clad
execute_on = timestep_end
[]
[clad_coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = clad_coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[clad_coolant_flux]
type = MaterialRealAux
property = output_heat_flux
variable = clad_coolant_flux
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
property = critical_heat_flux
variable = critical_heat_flux
boundary = 2
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
[]
[ofract_total]
type = MaterialRealAux
property = current_oxygen_weight_frac_total
variable = oxywtfract_total
execute_on = timestep_end
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
property = oxygen_weight_frac_gained_total
variable = oxywtfgain_total
execute_on = timestep_end
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
property = fract_beta_phase
variable = fract_beta_phase
block = 'clad'
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 210 #10
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.3
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[pellet_clad_mechanical_2]
primary = 5
secondary = 410
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[]
# 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 = fis_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 = 0.1e-6 #2.0e-6
roughness_secondary = 0.1e-6 #0.5e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
emissivity_primary = 0.800 #Emissivity for fuel
emissivity_secondary = 0.325 #Emissivity for clad
refab_time = 125107200
refab_gas_types = He
refab_fractions = 1
contact_coef = 20 #10 default
[]
[]
[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 = 20
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 1
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_temperature = 293.15
initial_pressure = 2.60e6
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 #plenumTemp
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'
# extra_vector_tags = 'ref'
refab_time = 125107200
refab_pressure = 0.301e6
refab_temperature = 293.15
refab_volume = 2.0e-6
[]
[]
[]
[CoolantChannel]
# [convective_clad_surface_water] # apply convective boundary to clad outer surface
# boundary = '1 2 3'
# variable = temp
# inlet_temperature = temp_ramp # K
# inlet_pressure = pressure_ramp # Pa
# inlet_massflux = 3244.044104 # kg/m^2-sec
# rod_diameter = 0.00951 # m
# rod_pitch = 1.26e-2 # m
# coolant_material = 'water'
# compute_enthalpy = true
# oxide_thickness = oxide_thickness # coupled oxide_thickness
# number_axial_zone = 50
# []
#
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = 3533 # kg/m^2-sec Based on flow rate provided and flow area and estimated density of 885.1 kg/m^3
flow_area = 8.74855e-5 #m^2
heated_diameter = 1.172526e-2 #m
hydraulic_diameter = 4.7e-3 #m
heated_perimeter = 2.984513e-2 #m
coolant_material = 'sodium'
compute_enthalpy = true
heat_transfer_mode = 0
oxide_thickness = oxide_thickness # coupled oxide_thickness
number_axial_zone = 50
rod_diameter = 0.0095 # m
htc_correlation_type = 2
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
#density = 10476.35
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.045
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
matpro_poissons_ratio = 1
matpro_youngs_modulus = 1
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.0 #0.0208
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 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
initial_fuel_density = 10476.35
total_densification = 0.00675
initial_porosity = 0.045
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
fission_rate = fission_rate
burnup_function = burnup
initial_porosity = 0.045
grain_radius_const = 5.0e-6
gbs_model = false
transient_option = MICROCRACKING_BURNUP
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6550
[]
[clad_thermal]
type = ZryThermal
block = 'clad'
temperature = temp
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
temperature = temp
matpro_poissons_ratio = true
matpro_youngs_modulus = true
cold_work_factor = 0.5
fast_neutron_fluence = fast_neutron_fluence
block = 'clad'
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
#inelastic_models = 'clad_zrycreep clad_zryplasticity'
inelastic_models = 'clad_zryplasticity'
block = 'clad'
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
#creeprate_scale_factor = 1
model_irradiation_creep = 1
model_primary_creep = 1
model_thermal_creep = 1
max_inelastic_increment = 0.0001
creeprate_scale_factor = 0
enable = 0
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = 'clad'
temperature = temp
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
max_inelastic_increment = 0.0001
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
compute = 0
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00417789
clad_outer_radius = 0.00475615
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
oxygen_weight_fraction_initial = 0.0012
[]
[phase]
type = ZrPhase
block = 'clad'
numerical_method = 2
temperature = temp
[]
[StrainEnergyDensity]
type = StrainEnergyDensity
block = 'clad'
incremental = 1
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200 # The maximum permissible iterative value for the variable.
min_value = 200 # The minimum permissible iterative value for the variable.
variable = temp # The name of the variable that this damper operates on
[]
[contact_slip]
type = ContactSlipDamper
primary = 5
secondary = 10
min_damping_factor = 0.05
[]
[]
[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 = 'contact'
contact_line_search_allowed_lambda_cuts = 0
contact_line_search_ltol = 0.5
verbose = true
l_max_its = 100
l_tol = 1e-3
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = 0
end_time = 125194100 #125193600 #125194100 is the end time for the RIA
dtmax = 10
dtmin = 1e-7
[TimeStepper]
type = IterationAdaptiveDT
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = power_profile
max_function_change = 5e5
force_step_every_function_point = true
timestep_limiting_postprocessor = material_timestep
time_t = '125193610 125193620 125193630 125193640 125193650 125193660 125193670 125193680'
time_dt = '10 10 10 10 10 10 10 10'
[]
[Quadrature]
order = FIFTH #SEVENTH
side_order = SEVENTH #Comment out if order = SEVENTH
[]
[]
[Postprocessors]
# [ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
# type = SideAverageValue
# boundary = 9 #For RIA the node number is ##***8479***##
# variable = temp
# execute_on = 'initial linear'
# []
[ave_temp_interior]
type = NodalVariableValue
variable = temp
nodeid = 8479
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
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_generated]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[gas_volume] # 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
[]
[1_rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[3_burnup_GWd]
type = FunctionValuePostprocessor
function = burnup_GWd
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = 'clad'
variable = vonmises_stress
[]
[z_average_RPF]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = RPF
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = 'clad'
[]
## Nodal values
[FCT] #fuel centerline temperature
type = NodalVariableValue
variable = temp
nodeid = 3866 #(0, 0.303375, 0)
[]
[FST] #fuel surface temperature
type = NodalVariableValue
variable = temp
nodeid = 3823 #(0.0040959, 0.303375, 0)
[]
[CIST] #clad inner surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9557 #(0.0041779, 0.305106, 0)
[]
[COST] #clad outer surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9547 #(0.00475615, 0.305106, 0)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 3823 #(0.0040959, 0.303375, 0)
use_displaced_mesh = true
[]
#######################################
[qpoint_penetration] #FOCE
type = ElementalVariableValue
variable = qpoint_penetration
elementid = 1200
use_displaced_mesh = 1
[]
[penetration] #FOCN
type = NodalVariableValue
variable = penetration
nodeid = 3823
use_displaced_mesh = 1
[]
[contact_pressure] #FOCN
type = NodalVariableValue
variable = contact_pressure
nodeid = 3823
use_displaced_mesh = 1
[]
[gap_cond] #FOCE
type = ElementalVariableValue
variable = gap_cond
elementid = 1200
use_displaced_mesh = 1
[]
[creep_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_creep_strain
elementid = 2981
use_displaced_mesh = 1
[]
[elastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_elastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[plastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_plastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[total_hoop_strain] #COCE
type = ElementalVariableValue
variable = total_hoop_strain
elementid = 2981
use_displaced_mesh = 1
[]
[clad_hoop_stress] #COCE
type = ElementalVariableValue
variable = hoop_stress
elementid = 2981
use_displaced_mesh = 1
[]
[clad_axial_elongation] #COTN
type = NodalVariableValue
variable = disp_y
nodeid = 10755
use_displaced_mesh = 1
[]
[clad_oxide_thickness] #COCE
type = ElementalVariableValue
variable = oxide_thickness
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_htc] #COCE
type = ElementalVariableValue
variable = clad_coolant_htc
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_temp] #COCE
type = ElementalVariableValue
variable = coolant_temp
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_flux] #COCE
type = ElementalVariableValue
variable = clad_coolant_flux
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_hmode] #COCE
type = ElementalVariableValue
variable = coolant_channel_hmode
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_htype] #COCE
type = ElementalVariableValue
variable = coolant_channel_htype
elementid = 2981
use_displaced_mesh = 1
[]
[critical_heat_flux] #COCE
type = ElementalVariableValue
variable = critical_heat_flux
elementid = 2981
use_displaced_mesh = 1
[]
[fuel_centerline_temp] #FICN
type = NodalVariableValue
variable = temp
nodeid = 3866
[]
[fuel_surface_temp] #FOCN
type = NodalVariableValue
variable = temp
nodeid = 3823
[]
[clad_inner_surface_temp] #CICN
type = NodalVariableValue
variable = temp
nodeid = 9557
[]
[clad_outer_surface_temp] #COCN
type = NodalVariableValue
variable = temp
nodeid = 9547
[]
[fuel_axial_elongation] #FOTN
type = NodalVariableValue
variable = disp_y
nodeid = 7739
[]
[clad_radial_elongation] #COCN
type = NodalVariableValue
variable = disp_x
nodeid = 9547
[]
[fuel_radial_elongation] #FOCN
type = NodalVariableValue
variable = disp_x
nodeid = 3823
[]
[SED_PPN_O] #COCE
type = ElementalVariableValue
variable = SED
elementid = 2981
use_displaced_mesh = 1
[]
[SED_PPN_I] #CICE
type = ElementalVariableValue
variable = SED
elementid = 2984
use_displaced_mesh = 1
[]
[zz_OFract_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfract_total
elementid = 2981
use_displaced_mesh = 1
[]
[zz_OGain_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfgain_total
elementid = 2981
use_displaced_mesh = 1
[]
#######################################
[max_clad_SED]
type = ElementExtremeValue
block = 'clad'
variable = SED
value_type = max
[]
#Post processor to calculate radial average enthalpy. This postprocessor isnt available yet in BISON
[z_RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.3
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = z_RAE
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_diameter'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_pellet_diameter'
[]
#Location of peak power node at appoximately 0.3 m in mesh
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = 'outfile_radial_temp'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
csv = true
#exodus = true
color = false
[outfile_clad_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_pellet_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_radial_temp]
type = CSV
end_time = -100000
[]
[console]
type = Console
output_linear = true
max_rows = 10
[]
[checkpoint]
type = Checkpoint
num_files = 2
file_base = recover_files
[]
[chkfile]
type = CSV
show = 'ave_temp_interior fis_gas_released FCT average_burnup peak_RAE'
execute_on = 'FINAL'
[]
[exodus]
type = Exodus
time_step_interval = 4
end_time = 125193700
[]
[exodus_RIA]
type = Exodus
time_step_interval = 3
start_time = 125193695
[]
[checkpoint_RIA]
type = Checkpoint
file_base = recover_files_RIA
sync_times = '124761600 125107200 125193600 125193650 125193700 125193700.06 125193700.07 125193700.08 125193700.09 125193700.10 125193700.20 125193700.30 125193700.40 125193700.50 125193700.60 125193700.70 125193700.80 125193700.90 125193701.00 125193701.25 125193701.50 125193701.75 125193702.00 125193702.25 125193702.50 125193702.75 125193703.00 125193704.00 125193705.00'
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
show_material_props = true
[]
(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
[]
(assessment/LWR/validation/RIA_CABRI_REP_Na/analysis/REP_Na_Base.i)
# Base input file
# Problem parameters
acceptable_iterations = 30
acceptable_multiplier = 10
# Neutronics, power, and isotope fractions
energy_per_fission = 3.2e-11 # J/fission
fast_neutron_flux_factor = 3e13 # n/m^2-s
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Function data
Fuel_CTE_function_xy_data = ' 0 1.000E-05
300 1.000E-05
350 1.000E-05
400 1.000E-05
450 1.000E-05
500 1.001E-05
550 1.002E-05
600 1.003E-05
650 1.005E-05
700 1.008E-05
750 1.011E-05
800 1.015E-05
850 1.020E-05
900 1.026E-05
950 1.032E-05
1000 1.039E-05
1050 1.046E-05
1100 1.053E-05
1150 1.061E-05
1200 1.069E-05
1250 1.077E-05
1300 1.085E-05
1350 1.094E-05
1400 1.102E-05
1450 1.111E-05
1500 1.119E-05
1550 1.127E-05
1600 1.135E-05
1650 1.143E-05
1700 1.151E-05
1750 1.158E-05
1800 1.166E-05
1850 1.173E-05
1900 1.180E-05
1950 1.187E-05
2000 1.193E-05
2050 1.199E-05
2100 1.205E-05
2150 1.211E-05
2200 1.217E-05
2250 1.222E-05
2300 1.227E-05
2350 1.232E-05
2400 1.237E-05
2450 1.242E-05
2500 1.246E-05
2550 1.250E-05
2600 1.254E-05
2650 1.258E-05
2700 1.262E-05
2750 1.265E-05
2800 1.268E-05
2850 1.271E-05
2900 1.274E-05
2950 1.277E-05
3000 1.280E-05
3050 1.282E-05
3100 1.285E-05'
# Cladding material properties
cladding_density = 6550 # kg/m^3
# Rod geometry
num_radial = 80
a_lower = 0.0045 # m
fuel_inner_radius = 0 # m
fuel_volume_ratio = 1 # (-)
# Contact
roughness_coef = 3.2
# Relocation
relocation_activation1 = 5000 # W/m
# Plenum parameters
startup_time = 0 # s
refab_temperature = 293.15 # K
# Temperature conditions
stress_free_temperature = 293.15 # K
initial_temperature = 293.15 # K
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-K
# Numerical options
slip_min_damping_factor = 0.05 # (-)
l_max_its = 100
l_tol = 1e-3
nl_max_its = 40
nl_rel_tol = 1e-4
dtmin = 1e-7 # s
TimeStepper_iteration_window = 4
TimeStepper_linear_iteration_ratio = 100
[GlobalParams]
displacements = ${displacements_option}
temperature = temperature
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_iterations = ${acceptable_iterations}
acceptable_multiplier = ${acceptable_multiplier}
[]
[Mesh]
coord_type = RZ
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = ${clad_block_name}
[]
[fast_neutron_fluence]
block = ${clad_block_name}
[]
[grain_radius]
block = ${fuel_block_name}
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[fuel_cond]
order = CONSTANT
family = MONOMIAL
[]
[swelling_strain]
order = CONSTANT
family = MONOMIAL
block = ${fuel_block_name}
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_axial_strain]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temperature]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_flux]
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
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
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 = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
axis = 1
[]
[pressure_ramp] # inlet coolant pressure evolution
type = PiecewiseLinear
xy_data = ${pressure_ramp_xy_data}
[]
[temperature_ramp] # inlet coolant temperature evolution
type = PiecewiseLinear
xy_data = ${temperature_ramp_xy_data}
[]
[Fuel_CTE_function] #Fuel CTE as a function of temperature from MATPRO data
type = PiecewiseLinear
xy_data = ${Fuel_CTE_function_xy_data}
[]
[burnup_GWd]
type = ParsedFunction
expression = bu*950
symbol_names = 'bu'
symbol_values = ${burnup_symbol_values}
[]
[]
[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_fuel] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = ${fuel_block_name}
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = ${fuel_block_name}
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = ${num_radial}
num_axial = ${BU_num_axial}
a_upper = ${a_upper}
a_lower = ${a_lower}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = ${clad_block_name}
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_profile
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
block = ${clad_block_name}
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = ${fuel_block_name}
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[fuel_conductance]
type = MaterialRealAux
property = thermal_conductivity
variable = fuel_cond
block = ${fuel_block_name}
[]
[swelling_strain]
type = MaterialRealAux
property = volumetric_swelling_strain
variable = swelling_strain
block = ${fuel_block_name}
[]
[clad_coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = clad_coolant_htc
boundary = 2
[]
[coolant_temperature]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temperature
boundary = 2
[]
[clad_coolant_flux]
type = MaterialRealAux
property = output_heat_flux
variable = clad_coolant_flux
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
property = critical_heat_flux
variable = critical_heat_flux
boundary = 2
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = timestep_end
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = timestep_end
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = ${clad_block_name}
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = ${contact_penalty}
formulation = penalty
normalize_penalty = ${normalize_contact_penalty_option}
model = frictionless
[]
[]
[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
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
quadrature = true
emissivity_primary = ${emissivity_primary} # Emissivity for fuel
emissivity_secondary = ${emissivity_secondary} # Emissivity for clad
refab_time = ${refab_time}
refab_gas_types = He
refab_fractions = 1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = ${coolantPressure_boundary}
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_temperature = ${initial_temperature}
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 = ${PP_temperature} #plenumtemperature
volume = ${PP_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}
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = ${convective_clad_surface_boundary}
variable = temperature
inlet_temperature = temperature_ramp # K
inlet_pressure = pressure_ramp # Pa
coolant_material = ${coolant_material}
compute_enthalpy = true
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = ${fuel_block_name}
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
total_densification = ${total_densification}
initial_porosity = ${initial_fuel_porosity}
eigenstrain_name = ${fuel_volumetric_swelling_eigenstrain_name}
[]
[fuel_density]
type = StrainAdjustedDensity
block = ${fuel_block_name}
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = ${fuel_block_name}
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = ${fuel_block_name}
[]
[fuel_elasticity_tensor]
type = ${fuel_elasticity_tensor_type}
block = ${fuel_block_name}
[]
[fuel_thermal_expansion]
type = ComputeInstantaneousThermalExpansionFunctionEigenstrain
block = ${fuel_block_name}
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_function = Fuel_CTE_function
eigenstrain_name = ${fuel_thermal_expansion_eigenstrain_name}
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = ${fuel_block_name}
burnup_function = burnup
diameter = ${fuel_diameter}
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap = ${diametral_gap}
burnup_relocation_stop = ${burnup_relocation_stop}
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = ${fuel_relocation_eigenstrain_name}
[]
[fission_gas_release]
type = UO2Sifgrs
block = ${fuel_block_name}
temperature = temperature
burnup_function = burnup
initial_porosity = ${initial_fuel_porosity}
gbs_model = ${gbs_model_option}
[]
[clad_density]
type = StrainAdjustedDensity
block = ${clad_block_name}
strain_free_density = ${cladding_density}
[]
[clad_thermal]
type = ZryThermal
block = ${clad_block_name}
temperature = temperature
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = ${clad_block_name}
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
max_inelastic_increment = ${max_inelastic_increment}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = ${clad_block_name}
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = ${clad_block_name}
tangent_operator = elastic
inelastic_models = ${clad_inelastic_models_type}
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = ${clad_block_name}
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = ${clad_irradiation_swelling_eigenstrain_name}
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = ${clad_block_name}
cold_work_factor = 0.5
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
plasticity_model_type = MATPRO
max_inelastic_increment = ${max_inelastic_increment}
[]
[clad_thermal_expansion] # thermoelasticity, plasticity, and thermal and irradiation creep for Zr4
type = ZryThermalExpansionMATPROEigenstrain
block = ${clad_block_name}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = ${clad_thermal_expansion_eigenstrain_name}
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[phase]
type = ZrPhase
block = ${clad_block_name}
numerical_method = 2
[]
[]
[Dampers]
[contact_slip]
type = ContactSlipDamper
primary = 5
secondary = 10
min_damping_factor = ${slip_min_damping_factor}
[]
[]
[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}
end_time = ${end_time}
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_profile
max_function_change = ${TimeStepper_max_function_change}
force_step_every_function_point = true
timestep_limiting_postprocessor = material_timestep_control
time_t = ${time_t}
time_dt = ${time_dt}
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ${fis_gas_grain_type}
block = ${fuel_block_name}
outputs = exodus
[]
[fis_gas_boundary]
type = ${fis_gas_boundary_type}
block = ${fuel_block_name}
outputs = exodus
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[burnup_GWd]
type = FunctionValuePostprocessor
function = burnup_GWd
[]
#######################################
[penetration]
type = NodalVariableValue
variable = penetration
nodeid = ${penetration_nodeid}
use_displaced_mesh = 1
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = ${contact_pressure_nodeid}
use_displaced_mesh = 1
[]
[fuel_centerline_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${fuel_centerline_temperature_nodeid}
[]
[fuel_surface_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${fuel_surface_temperature_nodeid}
[]
[clad_inner_surface_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${clad_inner_surface_temperature_nodeid}
[]
[clad_outer_surface_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${clad_outer_surface_temperature_nodeid}
[]
#######################################
[max_fuel_temperature]
type = NodalExtremeValue
block = ${fuel_block_name}
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = ${clad_block_name}
variable = temperature
[]
[material_timestep_control]
type = MaterialTimeStepPostprocessor
block = ${clad_block_name}
[]
[]
[VectorPostprocessors]
[ox_thick]
type = SideValueSampler
variable = oxide_thickness
boundary = 2
sort_by = y
outputs = 'outfile_oxide_thickness'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = ${color_option}
[console]
type = Console
output_linear = true
max_rows = 10
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = ${chkfile_show}
execute_on = 'FINAL'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
time_step_interval = 4
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[]
(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/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/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
[]
[]
(test/tests/radial_power_factor/twoSlices.i)
#
# This test demonstrates the difference between using the local burnup
# and the radially averaged burnup in the relocation model.
#
# Plot the disp_x variable for nodes 8 and 111 to see the difference.
#
# At time 1e7, the two displacements are
# 8: 2.1057e-5
# 111: 2.1055e-5
#
# The difference is negligible.
#
[GlobalParams]
density = 10431.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = FileMeshGenerator
file = twoSlices.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[Functions]
[power_history]
type = ParsedFunction
expression = 2.5e4
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = ParsedFunction
expression = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
incremental = true
eigenstrain_names = 'relocation_eigenstrain'
[]
[]
[Burnup]
[burnup]
block = '1 2'
order = CONSTANT
family = MONOMIAL
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 = 2
a_lower = 0
a_upper = 1
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 1
#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
average_burnup = ave_burn
[]
[]
[BCs]
[left]
type = DirichletBC
boundary = 1
variable = disp_x
value = 0
[]
[bottom]
type = DirichletBC
boundary = 2
variable = disp_y
value = 0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 2e11
poissons_ratio = 0.345
[]
[relocation_1]
type = UO2RelocationEigenstrain
block = 1
burnup = ave_burn
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
eigenstrain_name = relocation_eigenstrain
[]
[relocation_2]
type = UO2RelocationEigenstrain
block = 2
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
eigenstrain_name = relocation_eigenstrain
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[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-8
nl_abs_tol = 1e-8
start_time = 0.0
end_time = 1e7
dt = 1.0
dtmax = 1e6
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[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'
[]
[]
(examples/1.5D_rodlet_10pellets/1_5D_friction.i)
# Model is of a 10 pellet stack of fuel modeled in 1.5d
pressure_test = 2.0e6
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
temperature = temperature
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.00056
fuel_height = 0.1186
plenum_height = 0.027
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[AuxVariables]
[tangential_contact_pressure_aux]
block = fuel
[]
[]
[AuxKernels]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[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 = 0.00917
direction_max = 0.11591
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 = 0.00917
direction_max = 0.11591
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 = 0.01
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 = 0.00917
direction_max = 0.11591
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 = 0.00917
direction_max = 0.11591
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 = 0.01
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'
[]
[]
[Variables]
[temperature]
initial_condition = 580.0 # set initial temperature to coolant inlet
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[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
block = clad
[]
[creep_strain]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[densification]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[relocation]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[discrete_contact_pressure]
order = FIRST
family = LAGRANGE
block = fuel
[]
[]
[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] # 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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.5e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[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 = fuel # fission rate applied to the fuel (block 2) only
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
eigenstrain_names = 'fuelthermal_strain swelling_strain fuel_relocation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
extra_vector_tags = 'ref'
outputs = none
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
block = clad
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
extra_vector_tags = 'ref'
outputs = none
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[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
order = CONSTANT
family = MONOMIAL
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
RPF = RPF
isotopes = 'U235 U238'
isotope_fractions = '0.05 0.95'
[]
[]
[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 = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain
block = clad
execute_on = timestep_end
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
block = fuel
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
block = fuel
[]
[densification]
type = MaterialRealAux
variable = densification
property = densification
execute_on = timestep_end
block = fuel
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
execute_on = timestep_end
block = fuel
[]
[relocation_strain]
type = MaterialRealAux
variable = relocation
property = relocation_strain
execute_on = timestep_end
block = fuel
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = clad_inside_right
secondary = pellet_outer_radial_surface
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = clad_inside_right
secondary = pellet_outer_radial_surface
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]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = 2
function = pressure_ramp # use the pressure_ramp function defined above
factor = 15.5e6
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = ${pressure_test}
startup_time = 0
R = 8.314
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
variable = temperature
boundary = 2
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 = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuelthermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = fuel
gas_swelling_model_type = SIFGRS
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = swelling_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
fuel_pin_geometry = pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000.0
burnup_relocation_stop = 0.024
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
gbs_model = true
grain_radius = grain_radius
[]
[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
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'zrycreep'
[]
[zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
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
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[]
[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 = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 18
iteration_window = 2
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
### Nodal contact pressure
[top_contact_pressure_fuel]
type = NodalVariableValue
variable = discrete_contact_pressure
nodeid = 361 # mesh dependent, at (0.0041, 0.09219)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = discrete_contact_pressure
nodeid = 262 # mesh dependent, at (0.0041, 0.05661)
[]
[bottom_contact_pressure_fuel]
type = NodalVariableValue
variable = discrete_contact_pressure
nodeid = 163 # mesh dependent, at (0.0041, 0.02103)
[]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol] # volume inside of cladding
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
#outputs = exodus
[]
[pellet_volume] # fuel pellet total volume
type = LayeredInternalVolumePostprocessor
boundary = 8
# scale_factor = -1
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
#outputs = exodus
[]
[fis_gas_produced] # fission gas produced (moles)
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released] # fission gas released to plenum (moles)
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temperature
burnup_function = burnup
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temperature
[]
[central_fuel_temp]
type = NodalVariableValue
nodeid = 262 #Mesh dependent (0.0041, 0.05661)
variable = temperature
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
### Comparisons for 1.5D work, mesh specific #################### # von Mises Stress
[top_vonMises_fuel]
type = ElementalVariableValue
elementid = 171 # mesh dependent (contains pt. 0.0041, 0.09219)
variable = vonmises_stress
[]
[center_vonMises_fuel]
type = ElementalVariableValue
elementid = 123 # mesh dependent (contains pt. 0.0041, 0.05661)
variable = vonmises_stress
[]
[bottom_vonMises_fuel]
type = ElementalVariableValue
elementid = 75 # mesh dependent (contains pt. 0.0041, 0.02103)
variable = vonmises_stress
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = fuel
[]
[top_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 28 # mesh dependent (contains pt. 0.00418, 0.09219)
variable = vonmises_stress
[]
[top_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 31 # mesh dependent (contains pt. 0.00474, 0.09219)
variable = vonmises_stress
[]
[center_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 16 # mesh dependent (contains pt. 0.00418, 0.05661)
variable = vonmises_stress
[]
[center_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 19 # mesh dependent (contains pt. 0.00474, 0.05661)
variable = vonmises_stress
[]
[bottom_vonMises_clad_inner]
type = ElementalVariableValue
elementid = 4 # mesh dependent (contains pt. 0.00418, 0.02103)
variable = vonmises_stress
[]
[bottom_vonMises_clad_outer]
type = ElementalVariableValue
elementid = 7 # mesh dependent (contains pt. 0.00474, 0.02103)
variable = vonmises_stress
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
### End of 1.5D comparisons
[fuel_elongation]
type = LayeredElongation
fuel_pin_geometry = pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
execute_on = 'initial timestep_end'
[]
[clad_elongation]
type = LayeredElongation
fuel_pin_geometry = pin_geometry
out_of_plane_strain_cladding = cladding_strain_yy
execute_on = 'initial timestep_end'
[]
[]
[VectorPostprocessors]
[clad]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'clad_radial_displacement'
[]
[pellet]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'fuel_radial_displacement'
[]
[contact_pressure_output]
type = NodalValueSampler
variable = contact_pressure
boundary = 10
sort_by = y
outputs = 'contact_pressure_output'
[]
[tangential_pressure_output]
type = NodalValueSampler
variable = tangential_contact_pressure_aux
boundary = 10
sort_by = y
outputs = 'tangential_pressure_output'
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[clad_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
[contact_pressure_output]
type = CSV
execute_on = 'TIMESTEP_END'
[]
[tangential_pressure_output]
type = CSV
execute_on = 'TIMESTEP_END'
[]
[]
(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/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/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_fortyslice.i)
# Model is of a 40 slice pellet stack in 1.5D
# Top plenum height of 295.07 mm + bot_gap_height = 1.e-3 in 2D mesh
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = disp_x
temperature = temp
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.0041275
clad_gap_width = 8.89e-5
clad_thickness = 6.35e-4
fuel_height = 3.81381
plenum_height = 0.29607
slices_per_block = 40
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 300.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
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
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[vonmises_stress]
order = CONSTANT
family = MONOMIAL
[]
[hydrostatic_stress]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_xx]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_xy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_zz]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads an input file containing rod average linear power vs time
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
# reads an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
# reads an input data defining amplitude curve for coolant pressure
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]
# reads an input file containing the axial power profile vs time
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'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 15.517e6
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie]
# time term in heat cnduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
# source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = fuel # fission rate applied to the fuel only
fission_rate = fission_rate # coupling to the fission_rate aux variable
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain fuel_volumetric_strain'
mesh_generator = layered1D_mesh
[]
[clad]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = clad
out_of_plane_pressure_function = clad_axial_pressure
strain = finite
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[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
fuel_pin_geometry = pin_geometry
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
RPF = RPF
fuel_volume_ratio = 1.0
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = fuel
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
[]
[stress_xx] # computes stress components for output
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hydrostatic_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hydrostatic_stress
scalar_type = VonMisesStress
execute_on = timestep_end
block = fuel
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = timestep_end
[]
[creep_strain_xy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xy
index_i = 0
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = timestep_end
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5 # clad
secondary = 10 # fuel
formulation = kinematic
penalty = 1e7
model = frictionless
[]
[]
[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 = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
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
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_bc
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.517e6
function = pressure_ramp # use the pressure_ramp function defined above
displacements = 'disp_x'
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = pin_geometry
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 = fuel
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
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 = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
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
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
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-pc_type'
petsc_options_value = ' lu'
line_search = 'none'
# controls for linear iterations
l_max_its = 100
l_tol = 1e-4 #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 = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
fuel_pin_geometry = pin_geometry
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
fuel_pin_geometry = pin_geometry
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = fuel
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_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = pin_geometry
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
[]
[flux_from_clad]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[FCT]
type = NodalVariableValue
variable = temp
nodeid = 231 # Global node id 232, at coordinates (0.0, 1.71774, 0.0)
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[max_penetration]
type = NodalExtremeValue
block = fuel
value_type = max
variable = penetration
[]
[min_penetration]
type = NodalExtremeValue
block = fuel
value_type = min
variable = penetration
[]
[max_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = max
variable = contact_pressure
[]
[min_contact_pressure]
type = NodalExtremeValue
block = fuel
value_type = min
variable = contact_pressure
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = fuel
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[top_disp_r_fuel]
type = NodalVariableValue
variable = disp_x
nodeid = 1654 #coords (0.0041275, 3.62274)
[]
[top_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 306 #coords (0.0042164, 3.62274)
[]
[plenum_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 351 #coords (0.0042164, 3.96053)
[]
[top_radial_strain_fuel]
type = ElementalVariableValue
variable = strain_xx
elementid = 787
[]
[top_axial_strain_fuel]
type = ElementalVariableValue
elementid = 787
variable = strain_yy
[]
[top_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 136
[]
[top_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 136
[]
[plenum_radial_strain_clad]
type = ElementalVariableValue
variable = strain_xx
elementid = 156
[]
[plenum_axial_strain_clad]
type = ElementalVariableValue
variable = strain_yy
elementid = 156
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_fuel_radial_displacement'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[pellet_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_surface_temp'
#[]
#[pellet_center_temp]
# type = NodalValueSampler
# variable = temp
# boundary = 12
# sort_by = y
# outputs = 'outfile_FCT'
#[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_fuel_radial_displacement]
type = CSV
execute_on = 'FINAL'
[]
#Uncomment to print out axial FCT and PST at every timestep
#[outfile_fuel_surface_temp]
# type = CSV
# execute_on = linear
#[]
#[outfile_FCT]
# type = CSV
# execute_on = linear
#[]
[console]
type = Console
max_rows = 25
[]
[]
(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/LOCA_IFA_650/analysis/IFA_650_2/IFA_650_2.i)
initial_fuel_density = 10412
[GlobalParams]
density = ${initial_fuel_density} # 0.95TD UO2, TD=10960
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[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_ife6502_medium2.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
initial_condition = 5.e-06 # !! assumption
[]
[max_fission_rate]
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
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 oxigen 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
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[average_linear_heat_rate]
type = PiecewiseLinear
data_file = linear_heat_rate_av.csv
format = columns
scale_factor = 1
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors_lhr.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_clad_outer_temperature]
type = PiecewiseLinear
data_file = temperature_clad_outer_av.csv
format = columns
scale_factor = 1
[]
[axial_temperature_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors_ctemp.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_outer_temperature]
type = CompositeFunction
functions = 'average_clad_outer_temperature axial_temperature_peaking_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = pressure_rig.csv
format = columns
scale_factor = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[uo2nat]
block = 'pellet_type_1 pellet_type_3'
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'uo2nat_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[fuel]
block = pellet_type_2
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
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_2
fission_rate = fission_rate
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
[]
[]
[Burnup]
[burnup]
block = pellet_type_2
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 28.5e-03 # mesh dependent
a_upper = 528.5e-03 # mesh dependent
fuel_inner_radius = 0.
fuel_outer_radius = 4.145e-03
fuel_volume_ratio = 1. # for use with dished pellets (ratio of actual volume to cylinder volume)
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3.e+13
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_2
variable = grain_radius
temperature = temp
execute_on = linear
[]
[max_fission_rate]
type = MaxFissionRateAux
variable = max_fission_rate
block = pellet_type_2
fission_rate = fission_rate
execute_on = timestep_begin
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = clad
variable = creep_strain_mag
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
boundary = 10
property = gap_conductance
variable = gap_cond
[]
[nbbl2]
type = MaterialRealAux
block = pellet_type_2
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[radbbl]
type = MaterialRealAux
block = pellet_type_2
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[stcvrg]
type = MaterialRealAux
block = pellet_type_2
variable = sat_coverage
property = sat_coverage
[]
[frcvrg]
type = MaterialRealAux
block = pellet_type_2
variable = GBCoverage
property = GBCoverage
[]
[dvv0bd]
type = MaterialRealAux
block = pellet_type_2
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# 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
[]
[]
[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
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temperature]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 4.e+06
startup_time = -200
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_2
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_2
thermal_conductivity_model = FINK_LUCUTA
temperature = temp
burnup_function = burnup
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_2
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_2
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_2
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_2
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_2
burnup_function = burnup
diameter = 0.00829
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =70.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_2
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temp
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 3.e-03
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[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 = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_3'
thermal_conductivity = 3. # !! assumption
specific_heat = 300. # !! assumption
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_3'
strain_free_density = ${initial_fuel_density}
[]
[uo2nat_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_3'
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = uo2nat_thermal_strain
[]
[uo2nat_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_3'
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_3'
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[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 = 1.e-02
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200
n_startup_steps = 1
end_time = 229440
dtmax = 2700. #1000.
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
dt = 200.
#optimal_iterations = 4
#iteration_window = 2
#linear_iteration_ratio = 100
timestep_limiting_function = average_clad_outer_temperature
max_function_change = 10
timestep_limiting_postprocessor = material_timestep
time_t = '-200. 0. 3.5e+04 216000. 218700. 219180. 219240. 219799. 219819. 219821. 219999.'
time_dt = ' 200. 900. 2700. 2700. 60. 60. 20. 20.
10. 10. 2.'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[decay_heat_function]
type = DecayHeatFunction
time_at_shutdown = 100000001.
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = clad
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = pellet_type_2
execute_on = 'initial timestep_end'
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temp
nodeid = 54 # Global node ID = 55 !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = 'initial linear'
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = 'initial linear'
[]
[alhr_input]
type = FunctionValuePostprocessor
function = average_linear_heat_rate
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_oxygen_fgain]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
block = clad
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
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
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_2
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
print_linear_residuals = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[out_vector_pp]
execute_vector_postprocessors_on = 'timestep_end'
type = CSV
[]
[]
(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'
[]
[]
(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/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_circle.i)
# ---------------------------------------------------------------------------------
#
# This test examines the relocation strain model in an cartesian quarter circle model, using directly
# provided geometry options for the pellet diameter (0.1in) and the clad-pellet gap (0.001in).
# This test is a companion test to the axisymmetric model relocation_circle_rz.i
#
# The test uses the legacy ESCORE model (which activates at averge linear power rates above 6 kW/ft)
# and an initial relocation activation value of 19685.039 kW/m.
#
# The test applies a constant q (8 kW/ft or 26246 W/m) and a burnup function of .12 * time FIMA,
# which varies linearily with time.
#
# With a constant time step increment of 0.1s, the relocation strain increment is
# \frac{\Delta D}{D_o} = 0.8 * (q - q1) * \frac{gap}{diameter} * (0.005 * (0.12 * dt)^{0.3} - 0.2 * diameter + 0.3)
# from the theory manual for the legacy ESCORE model.
#
# Results:
# Time (s) Burnup Value (MWd/MTU) Analytical Relocation Strain (m/m) BISON Relocation Strain (m/m)
# 0.0 0.0 0.002822 0.0 (return before calculation in zeroth step)
# 0.1 11400.0 0.003653 0.003653
# 0.2 22800.0 0.003845 0.003845
# 0.3 34200.0 0.003977 0.003977
# 0.4 45600.0 0.004081 0.004081
# 0.5 57000.0 0.004169 0.004169
# 0.6 68400.0 0.004244 0.004244
# 0.7 79800.0 0.004312 0.004312
#
# In the finite strain simulation, the BISON results match the analytical expected solution for relocation strain
# The values of the total strain differ from the relocation strain values due to the dilatational volumetric strain
# factor applied to the relocation strain when the eigenstrain stored.
# ---------------------------------------------------------------------------------------
[Mesh]
[mesh]
type = FileMeshGenerator
file = quarterCircle.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[q]
type = ParsedFunction
expression = '26246.71916'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[bottom_x]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[bottom_z]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[relocation]
type = UO2RelocationEigenstrain
block = 1
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = q
diametral_gap =0.0000254
burnup_relocation_stop = 1.0e12
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 19685.039
relocation_model = ESCORE_legacy
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 0.7
[]
[Postprocessors]
[relocation_strain_ave]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr_ave]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr_ave]
type = ElementAverageValue
variable = total_strain_rr
[]
[disp_x_2]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_z_2]
type = NodalVariableValue
nodeid = 2
variable = disp_z
[]
[]
[Outputs]
exodus = true
file_base = relocation_circle_out
[]
(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'
[]
[]
(assessment/LWR/validation/IFA_716/analysis/IFA_716_Base.i)
# This file contains all characteristics common to the entire assessment
# NOTE: This file requires information contained in subsequent files and therefore is not designed to run on its own
# Fuel material properties
total_densification = 0.0015 # (-)
# Cladding material properties
cold_work_factor = 0.2 # (-)
zircaloy_alloy_type = 4
cladding_density = 6550.0 # kg/m^3
# Cladding geometry
clad_inner_radius = 4.65e-3 # m
clad_outer_radius = 5.375e-3 # m
# Fuel geometry
num_radial = 80
num_axial = 11
a_lower = 0.001025 # m
a_upper = 0.400525 # m
fuel_inner_radius = 0 # m
fuel_outer_radius = 0.456e-02 # m
fuel_volume_ratio = 0.99140 # (-)
fuel_diameter = 9.12e-3 # m
diametral_gap = 180.0e-6 # m
# Neutronics, power, and isotope fractions
energy_per_fission = 3.28451e-11 # J/fission
fast_neutron_flux_factor = 3e13 # n/m^2-s
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Temperature conditions
initial_temperature = 293.0 # K
stress_free_temperature = 293.0 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-200 0'
pressure_ramp_y = '0 1'
coolant_pressure_ramp_factor = 3.4e6 # (-)
# Physical constants
graviational_acceleration_constant = -9.81 # m/s^2
# Plenum parameters
initial_plenum_pressure = 1.0e6 # Pa
startup_time = -200 # s
# Coolant channel parameters
inlet_pressure = 3.4e+06 # Pa
inlet_massflux = 450.0 # kg/m^2-s
rod_diameter = 10.75e-03 # m
rod_pitch = 46.e-03 # m
htc_correlation_type = 2
# Relocation
relocation_activation1 = 5000 # W/m
# Numerical options
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 # s
n_startup_steps = 1
end_time = 60025104 # s
num_steps = 50000
dtmax = 5e5 # s
dtmin = 0.1 # s
TimeStepper_dt = 2e2 # s
TimeStepper_iteration_window = 2
TimeStepper_growth_factor = 2
TimeStepper_cutback_factor = .5
# Postprocessor parameters
burnup_scaling_factor = 950.0 # GWd/tUO2 per FIMA
time_days_scale_factor = 1.157407407e-5 # days/s
clad_elongation_nodeid = 1085
fuel_elongation_nodeid = 689
upper_TC_temperature_nodeid = 886
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = ${initial_fuel_porosity}
temperature = temperature
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
[]
[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 = ${rod_mesh_file}
[]
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 'pellet_type_1 pellet_type_2'
initial_condition = ${initial_grain_radius}
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
scale_factor = 1e3
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ${axial_peaking_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_factors'
[]
[coolant_inlet_temperature]
type = PiecewiseLinear
data_file = ${coolant_inlet_temperature_data_file}
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = ${add_variables_option}
strain = FINITE
[pellets]
block = 'pellet_type_1 pellet_type_2'
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_eigenstrain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = ${graviational_acceleration_constant}
[]
[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_type_1 pellet_type_2'
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2'
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = ${num_radial}
num_axial = ${num_axial}
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
[]
[]
[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 = 'pellet_type_1 pellet_type_2'
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = ${plenum_temperature_inner_surfaces}
outer_surfaces = ${plenum_temperature_outer_surfaces}
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 = ${no_y_clad_bottom_boundary}
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = ${no_y_fuel_bottom_boundary}
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = ${coolant_pressure_ramp_factor}
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = ${PlenumPressure_boundary}
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = gas_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = coolant_inlet_temperature
inlet_pressure = ${inlet_pressure}
inlet_massflux = ${inlet_massflux}
rod_diameter = ${rod_diameter}
rod_pitch = ${rod_pitch}
htc_correlation_type = ${htc_correlation_type}
compute_enthalpy = true
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2'
thermal_conductivity_model = HALDEN
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ${fuel_elasticity_tensor_type}
block = 'pellet_type_1 pellet_type_2'
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1 pellet_type_2'
burnup_function = burnup
total_densification = ${total_densification}
initial_fuel_density = ${initial_fuel_density}
gas_swelling_model_type = SIFGRS
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_creep]
type = UO2CreepUpdate
block = 'pellet_type_1 pellet_type_2'
fission_rate = fission_rate
oxygen_to_metal_ratio = ${oxygen_to_metal_ratio}
[]
[fuel_thermal_expansion]
type = ${fuel_thermal_expansion_type}
block = 'pellet_type_1 pellet_type_2'
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2'
relocation_model = ESCORE_modified
burnup_function = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = ${fuel_relocation_eigenstrain_name}
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = 'pellet_type_1 pellet_type_2'
tangent_operator = elastic
inelastic_models = 'fuel_creep'
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_2'
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2'
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
ig_bubble_model = NUCLEATION_RESOLUTION
diff_coeff_option = TURNBULL_D1_4D2_4D3
doping_type = CR2O3_DOPED
cr_doped_option = BEST_ESTIMATE_1773
[]
[clad_thermal]
type = ${clad_thermal_type}
block = clad
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_zryplasticity'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_primary_creep = true
model_thermal_creep = true
model_irradiation_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = ${cold_work_factor}
zircaloy_alloy_type = ${zircaloy_alloy_type}
plasticity_model_type = ${plasticity_model_type}
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_growth]
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
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
use_coolant_channel = true
temperature = temperature
fast_neutron_flux = fast_neutron_flux
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = ${solve_type}
petsc_options = '-snes_ksp_ew'
petsc_options_iname = ${petsc_options_iname}
petsc_options_value = ${petsc_options_value}
line_search = ${line_search}
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}
num_steps = ${num_steps}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
timestep_limiting_function = power_history
max_function_change = ${TimeStepper_max_function_change}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
optimal_iterations = ${TimeStepper_optimal_iterations}
iteration_window = ${TimeStepper_iteration_window}
growth_factor = ${TimeStepper_growth_factor}
cutback_factor = ${TimeStepper_cutback_factor}
force_step_every_function_point = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = power_history
execute_on = 'initial timestep_end'
[]
[temperature_fuel_max]
type = NodalExtremeValue
variable = temperature
block = 'pellet_type_1 pellet_type_2'
execute_on = 'initial timestep_end'
[]
[burnup_ave]
type = RodAverageBurnup
burnup_function = burnup
[]
[burnup_ave_MWdkgU]
type = ScalePostprocessor
value = burnup_ave
scaling_factor = ${burnup_scaling_factor}
[]
[temperature_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[gas_volume]
type = InternalVolume
boundary = '9'
execute_on = 'initial linear'
[]
[fission_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_1 pellet_type_2'
execute_on = linear
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_1 pellet_type_2'
execute_on = linear
[]
[fgr_percent]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_produced
execute_on = linear
[]
[_dt]
type = TimestepSize
execute_on = linear
[]
[nonlinear_its]
type = NumNonlinearIterations
execute_on = linear
[]
[clad_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${clad_elongation_nodeid}
[]
[fuel_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${fuel_elongation_nodeid}
[]
[upper_TC_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${upper_TC_temperature_nodeid}
[]
[time_days]
type = FunctionValuePostprocessor
function = t
scale_factor = ${time_days_scale_factor}
[]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'upper_TC_temperature fgr_percent plenum_pressure strain_clad_hoop_max'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relocation_attached_rz_time.i)
#
# Test relocation with a block of attached elements with spatially varying q and use of the
# time_relocation_stop limit. The power ramps both temporally and spatially from time = 0 to
# time = 1, and the burn up ramps with time (burnup = 0.12 * dt * 9.5e5 MWD/MTU).
# The time_relocation_stop is set to 1.5s. Therefore the relocation strain should remain
# constant from time 1.5 until the simulation end at time = 2.0 second.
#
# The zero strain increment from time 1.5s through time 2.0s requires a large nonlinear tolerance
# in order to achieve convergence in ComputeFiniteStrain.
#
# The mesh consists of five connected elements, with the bottom block experiencing the lowest power
# value and the top block experiencing the highest power. Because of the axial function used, the
# value of the power varies across and within the five elements with axial position. An average of
# the relocation strain in each element (average of the two different relocations at the two different
# axial positions) is given in the analytical results below.
#
# The test uses the modified ESCORE model (which activates at averge linear power rates above 1.52 kW/ft)
# and an initial relocation activation value of 5000. kW/m.
#
# The equation used to calculate the relocation strain differs based on the average linear heat rate
# at the local _qp, but all ESCORE equations use the same function of the burnup (MWD/MTU).
#
# burnup_term = 0.005 * (0.005 * (0.12 * dt)^0.3 _ 0.2 * diameter + 0.3
#
# For average linear heat rates of 1.52 kW/ft to 14.0 kW/ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate}{q2} * 0.8 * 2.0 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the modified ESCORE model.
#
# For average linear heat rates above 14.0 kW/Ft, the relocation strain is
# \frac{\Delta D}{D_o} = \frac{average_linear_heat_rate - q3}{2.0} * 0.8 * \frac{gap}{diameter} * burnup_term
# from the theory manual for the legacy ESCORE model.
#
# For average linear heat rates under 1.52 kW/ft, the relocation strain is zero.
#
# Results:(Burnup in (MWD/MTU), Relocation Strain in (m/m))
# Element 0 Element 1 Element 2 Element 3 Element 4
# Time (s) Burnup Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation Analytical Relocation
# 0.1 11400 0.000E+00 0.000E+00 0.0000E+00 0.0000E+00 7.4554E-04
# 0.2 22800 0.000E+00 0.000E+00 8.7193E-04 1.2207E-03 1.5695E-03
# 0.3 34200 0.000E+00 4.840E-04 1.3529E-03 1.8940E-03 2.4352E-03
# 0.4 45600 0.000E+00 1.111E-03 1.8511E-03 2.5915E-03 3.3319E-03
# 0.5 57000 3.728E-04 1.418E-03 2.3633E-03 3.3086E-03 4.2539E-03
# 0.6 68400 4.554E-04 1.732E-03 2.8874E-03 4.0424E-03 5.1974E-03
# 0.7 79800 5.398E-04 2.053E-03 3.4221E-03 4.7909E-03 6.1597E-03
# 0.8 91200 6.256E-04 2.380E-03 3.9662E-03 5.5526E-03 7.9594E-03
# 0.9 102600 7.128E-04 2.711E-03 4.5188E-03 6.3264E-03 1.0895E-02
# 1.0 114000 8.012E-04 3.048E-03 5.0794E-03 7.8442E-03 1.4222E-02
# 1.1 125400 8.098E-04 3.080E-03 5.1339E-03 7.9284E-03 1.4375E-02
# 1.2 136800 8.179E-04 3.111E-03 5.1851E-03 8.0073E-03 1.4518E-02
# 1.3 148200 8.255E-04 3.140E-03 5.2333E-03 8.0819E-03 1.4653E-02
# 1.4 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
# 1.5 - 2.0 159600 8.327E-04 3.167E-03 5.2790E-03 8.1524E-03 1.4781E-02
#
#
# In the finite strain simulation, the BISON results match the analytical expected solution,
# as shown with the postprocessor output in the simulation.
# ---------------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.0
xmax = 1.0
nx = 1
ymin = 0.0
ymax = 5.0
ny = 5
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup]
type = ParsedFunction
expression = '0.12*t'
[]
[time_q]
type = PiecewiseLinear
x = '0.0 1.0 2.0'
y = '0.0 20.0 20.0'
scale_factor = 3280.8 #convert from kW/ft to W/M
[]
[axial_q]
type = PiecewiseLinear
x = '0.0 5.0'
y = '0.0 1.0'
axis = y
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = relocation_eigenstrain
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup
execute_on = linear
[]
[reloc_strain]
type = MaterialRealAux
variable = relocation_strain
property = relocation_strain
execute_on = timestep_end
[]
[elastic_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = elastic_strain
variable = elastic_strain_rr
execute_on = timestep_end
[]
[total_strain_rr]
type = RankTwoAux
index_j = 0
index_i = 0
rank_two_tensor = total_strain
variable = total_strain_rr
execute_on = timestep_end
[]
[]
[BCs]
[r_axis]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[z_axis]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e11
poissons_ratio = 0.0
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[relocation]
type = UO2RelocationEigenstrain
block = 0
burnup = burnup
diameter = 0.00254
rod_ave_lin_pow = time_q
axial_power_profile = axial_q
diametral_gap = 0.0000254
time_relocation_stop = 1.5 #Put this limit in here to test it. We'll hit the limit in time 1.5,
eigenstrain_name = relocation_eigenstrain
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
[]
[density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 10963.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp '
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 7e-5
l_tol = 1e-5
start_time = 0.0
dt = 0.1
end_time = 2.0
[]
[Postprocessors]
[relocation_strain]
type = ElementAverageValue
variable = relocation_strain
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
[]
[burnup]
type = ElementAverageValue
variable = burnup
[]
[relocation_0]
type = ElementalVariableValue
variable = relocation_strain
elementid = 0
[]
[relocation_1]
type = ElementalVariableValue
variable = relocation_strain
elementid = 1
[]
[relocation_2]
type = ElementalVariableValue
variable = relocation_strain
elementid = 2
[]
[relocation_3]
type = ElementalVariableValue
variable = relocation_strain
elementid = 3
[]
[relocation_4]
type = ElementalVariableValue
variable = relocation_strain
elementid = 4
[]
[]
[Outputs]
exodus = true
file_base = relocation_attached_rz_out
[]
(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'
[]
[]