- mesh_generatorThe name of the generator to use as the prefix for mesh meta data properties.
C++ Type:MeshGeneratorName
Controllable:No
Description:The name of the generator to use as the prefix for mesh meta data properties.
Layered1DFuelPinGeometry
Computes LWR fuel pin geometry for 1D meshes by reading the input mesh. This object can be coupled to Burnup and other functions as an alternative to having the user supply parameters such as pellet radius and pellet-cladding gap.
Description
Layered1DFuelPinGeometry calculates LWR fuel pin geometry for 1D meshes by reading the input mesh. This object can be coupled to burnup and other functions as an alternative to having the user supply parameters such as pellet radius and pellet-cladding gap.
When using the additional blocks capability in Layered1DMeshGenerator the cladding thickness reported by Layered1DFuelPinGeometry is the thickness of the clad block plus any additional blocks that are bonded to it.
Example Input Syntax
[UserObjects<<<{"href": "../../syntax/UserObjects/index.html"}>>>]
[pin_geometry]
type = Layered1DFuelPinGeometry<<<{"description": "Computes LWR fuel pin geometry for 1D meshes by reading the input mesh. This object can be coupled to Burnup and other functions as an alternative to having the user supply parameters such as pellet radius and pellet-cladding gap.", "href": "Layered1DFuelPinGeometry.html"}>>>
include_fuel<<<{"description": "Whether to include the fuel block"}>>> = false
mesh_generator<<<{"description": "The name of the generator to use as the prefix for mesh meta data properties."}>>> = layered1D_mesh
[]
[]Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- clad_bottom2Sideset for bottom of cladding (bottom of lower end cap).
Default:2
C++ Type:BoundaryName
Controllable:No
Description:Sideset for bottom of cladding (bottom of lower end cap).
- clad_inner_wall5Sideset for inner wall of cladding, not including end caps.
Default:5
C++ Type:BoundaryName
Controllable:No
Description:Sideset for inner wall of cladding, not including end caps.
- clad_outer_wall2Sideset for outer wall of cladding.
Default:2
C++ Type:BoundaryName
Controllable:No
Description:Sideset for outer wall of cladding.
- clad_top2Sideset for top of cladding (top of upper end cap).
Default:2
C++ Type:BoundaryName
Controllable:No
Description:Sideset for top of cladding (top of upper end cap).
- fuel_excludeThe subset of fuel blocks in an extended set to be ignored.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The subset of fuel blocks in an extended set to be ignored.
- fuel_retainThe subset of fuel blocks in an extended set to be considered.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The subset of fuel blocks in an extended set to be considered.
- id_offset0This offset is added to the generated boundary IDs
Default:0
C++ Type:short
Controllable:No
Description:This offset is added to the generated boundary IDs
- include_cladTrueWhether to include the clad block
Default:True
C++ Type:bool
Controllable:No
Description:Whether to include the clad block
- include_fuelTrueWhether to include the fuel block
Default:True
C++ Type:bool
Controllable:No
Description:Whether to include the fuel block
- name_prefixIf provided, prefix the built in boundary names with this string
C++ Type:std::string
Controllable:No
Description:If provided, prefix the built in boundary names with this string
- pellet_exteriors8Sideset for all pellet exteriors.
Default:8
C++ Type:BoundaryName
Controllable:No
Description:Sideset for all pellet exteriors.
Optional Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- execute_onINITIALThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:INITIAL
C++ Type:ExecFlagEnum
Options:XFEM_MARK, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
Execution Scheduling Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (assessment/metallic_fuel/EBRII/X441/analysis/group_A/x441_1_5D_A.i)
- (assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_1D_sample2.i)
- (examples/mox_fuel/mox_porosity_demo.i)
- (test/tests/layered_1D/clad_axial_pressure_function.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_G/x441_1_5D_G.i)
- (assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_1/vitanza_1pt5.i)
- (test/tests/layered_1D/layered_axial_profile_nonuniform.i)
- (assessment/LWR/validation/Riso_GE7_ZX115/analysis/Riso_GE7_1pt5.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3_ox_noAm.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3.i)
- (examples/1.5D_restart/Smeared_1.5D.i)
- (assessment/LWR/validation/RE_Ginna_Rodlets/analysis/RE_Ginna_rodlet-4/RE_Ginna_rodlet_4_1pt5.i)
- (test/tests/element_integral_power/ad_fission_gas_sifgrs_1D.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_tenslice.i)
- (test/tests/layered_1D/layered_nodal_extreme.i)
- (test/tests/layered_1D/radial_power_factor.i)
- (test/tests/anisotropic_swelling/anisotropic_swelling_eigenstrain.i)
- (test/tests/mox_pore_velocity/MOXActinide_simple.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_1D_sample2.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_H/x441_1_5D_H.i)
- (test/tests/layered_1D/with_coating.i)
- (test/tests/layered_1D/gps_elastic_2scalar_2slice_1block.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ022/TSQ022_1pt5.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5.i)
- (test/tests/layered_1D/densification_only.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_hundredslice.i)
- (test/tests/axial_relocation/ad_uo2_pulverization.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample2.i)
- (test/tests/layered_1D/elongation_friction_rr.i)
- (test/tests/uo2_transient_fission_gas_release/uo2_pulverization_phasefield2_transient_FGR.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/TSQ002_1pt5.i)
- (test/tests/axial_relocation/packing_fraction.i)
- (test/tests/layered_1D/axisymmetric_centerline_average_value.i)
- (test/tests/mox_pore_velocity/MOXPoreVelocityVaporPressure.i)
- (assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_1D_sample1.i)
- (test/tests/axial_relocation/axial_relocation_volume_correction.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_1D_sample1.i)
- (test/tests/axial_relocation/uo2_pulverization_phasefield2.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_1D_sample1.i)
- (test/tests/axial_relocation/uo2_pulverization.i)
- (test/tests/upuzr_fission_gas_release/nonad/exact_1D.i)
- (test/tests/layered_1D/with_liner.i)
- (test/tests/mox_pore_velocity/MOXPoreVelocity.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_1D_sample2.i)
- (test/tests/layered_1D/side_average_value.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5_aniso.i)
- (test/tests/layered_1D/layered_axial_profile.i)
- (test/tests/standard_lwr_outputs_action/mini_complete_rod_1D.i)
- (test/tests/radial_power_factor/two_blocks.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1_1p5d_fr_ffrd.i)
- (test/tests/layered_1D/lower_plenum.i)
- (test/tests/axial_relocation/crumbled_thermal_conductivity.i)
- (examples/pore_migration/paper_solid.i)
- (test/tests/layered_1D/layered_plenum_temperature.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/x441_base_1_5D.i)
- (test/tests/layered_1D/gap_heat_transfer_htonly.i)
- (test/tests/upuzr_fission_gas_release/ad/exact_1D.i)
- (test/tests/axial_relocation/mass_relocation_translated.i)
- (examples/axial_relocation/layered1D/twin_balloon.i)
- (test/tests/layered_1D/element_integral_variable_pp.i)
- (test/tests/layered_1D/internal_volume.i)
- (examples/accident_tolerant_fuel/u3si2_sic/u3si2_outer_monolith_1.5D.i)
- (test/tests/layered_1D/layered_gas_gap_temperature_userobject.i)
- (test/tests/element_integral_power/fission_gas_sifgrs_1D.i)
- (test/tests/layered_1D/layered_integral.i)
- (test/tests/mox_pore_velocity/MOXActinide.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_F/x441_1_5D_F.i)
- (test/tests/fuelrodlinevaluesampler/chk_layered1D_mesh.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3_noAm.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_E/x441_1_5D_E.i)
- (test/tests/axial_relocation/mass_relocation.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na/analysis/REP_Na_2/REP_Na_2_1pt5.i)
- (examples/temperature_tables/layered1D_cases/1pt5D.i)
- (test/tests/axial_relocation/ad_uo2_pulverization_phasefield.i)
- (test/tests/fission_gas_1d/fgr_1d.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_B/x441_1_5D_B.i)
- (test/tests/layered_1D/multi_block.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_C/x441_1_5D_C.i)
- (test/tests/axial_relocation/axial_relocation_eigenstrain.i)
- (test/tests/element_integral_power/element_integral_power_1D.i)
- (test/tests/axial_relocation/uo2_pulverization_phasefield.i)
- (examples/1.5D_rodlet_10pellets/1_5D.i)
- (test/tests/axial_relocation/ad_uo2_pulverization_mesoscale.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_twentyslice.i)
- (test/tests/layered_1D/multi_block_error.i)
- (test/tests/axial_relocation/uo2_pulverization_mesoscale.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3_ox.i)
- (examples/axial_relocation/layered1D/single_balloon.i)
- (assessment/metallic_fuel/EBRII/X441/analysis/group_D/x441_1_5D_D.i)
- (test/tests/axial_relocation/ad_uo2_pulverization_phasefield2.i)
- (test/tests/layered_1D/layered_internal_volume.i)
- (test/tests/layered_1D/elongation_friction.i)
- (examples/1.5D_rodlet_10pellets/1_5D_friction.i)
- (test/tests/uo2_transient_fission_gas_release/ad_uo2_pulverization_phasefield2_transient_FGR.i)
- (test/tests/layered_1D/layered1D_init_eigenstrain.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/RefinementStudy/TSQ002_1pt5_fortyslice.i)
- (test/tests/layered_1D/elongation.i)
- (test/tests/layered_1D/lower_plenum_uniform_slices.i)
- (test/tests/layered_1D/internal_volume_scalar.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample1.i)
(test/tests/layered_1D/layered_integral.i)
#
# Mesh has two slices of heights 1 and 9.
# Temperature is set to 10 and 90 on the two slices.
#
# The integral in cylindrical coordinates for the bottom layer given the
# dimensions of the cladding is given by:
#
# int from 2 to 3 of 10 * (2 * pi * r) dr
# = 10 * pi * 3^2 - 10 * pi * 2^2
# = 282.74334 - 125.66371
# = 157.07963
#
# Multiplying by the thickness of the layer (1.0) gives the volume integral of:
# 157.07963
#
# For the top layer the integral is:
# int from 2 to 3 of 90 * (2 * pi * r) dr
# = 90 * pi * 3^2 - 90 * pi * 2^2
# = 2544.69005 - 1130.97336
# = 1413.71669
#
# Multiplying by the thickness of the layer (9.0) gives the volume integral of:
# 12723.45021
#
# These values are obtained by looking at the layered_temperature_sum AuxVariable.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '1.0 9.0'
slices_per_block = 2
include_fuel = false
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE2
[]
[]
[AuxVariables]
[layered_temperature_sum]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp1]
type = PiecewiseLinear
x = '0 1'
y = '0 10'
[]
[temp2]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[]
[Variables]
[temp]
initial_condition = 0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[layered_temperature_sum]
type = SpatialUserObjectAux
variable = layered_temperature_sum
execute_on = timestep_end
block = clad
user_object = temperature_sum
[]
[]
[BCs]
[temp1]
type = FunctionDirichletBC
boundary = 10003
variable = temp
function = temp1
[]
[temp2]
type = FunctionDirichletBC
boundary = 10023
variable = temp
function = temp2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = clad
property_name = density
expression = 1.0
[]
[]
[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_abs_tol = 9e-2
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[temperature_sum]
type = LayeredVariableIntegral
block = clad
variable = temp
execute_on = timestep_end
direction = y
num_layers = 2
fuel_pin_geometry = pin_geometry
[]
[]
[Outputs]
exodus = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_A/x441_1_5D_A.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_1D_sample2.i)
# Sample at +97mm from midplane
initial_fuel_density = 11172.82
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.1409
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 36350.6 36350.6 40436.1 40436.1 49235.7 49235.7 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1159.5'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1409
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.961
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(examples/mox_fuel/mox_porosity_demo.i)
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.1
pellet_outer_radius = 0.00541
include_clad = false
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
[]
[]
[Variables]
[temp]
initial_condition = 300
[]
[pore]
initial_condition = 0.15
scaling = 1e14
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 50000'
[]
[fuel_surface_temp]
type = PiecewiseLinear
data_file = fuel_surface_temp_bc.csv
scale_factor = 1
format = columns
[]
[]
[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
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
# nu = 3.25e-8 #seems to be THE value to use... result is super sensitive to this number
# nu = 10e-10
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
# v_upper = 1
# v_lower = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate_aux_kernel]
type = FissionRateGeneral
fission_rate_formulation = LWR
variable = fission_rate_aux_variable
block = fuel
rod_ave_lin_pow = power_history1
# axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
pellet_diameter = 0.01082
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
block = fuel
porosity = pore
initial_porosity = 0.15
rod_ave_lin_pow = power_history1
pellet_diameter = 0.01082
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
block = fuel
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
[]
[]
[BCs]
[temp_outside] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = temp
boundary = 10
function = fuel_surface_temp
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = fuel
temperature = temp
porosity = pore
porosity_limit = 0.95
[]
[density_block]
type = GenericConstantMaterial
block = fuel
prop_names = density
prop_values = 10662.0
[]
[pore_velocity]
type = MOXPoreVelocity
block = fuel
temperature = temp
limit = 1e-3
#go back to this if necessary scale_factor = 0.05
scale_factor = 0.1
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
#petsc_options_iname = '-pc_type -pc_factor_mat_solver_package' # -mat_superlu_dist_fact'
#petsc_options_value = 'lu superlu_dist' # SamePattern_SameRowPerm'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 10000
dtmax = 100
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[a_run_time] # average temperature of cladding interior
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[ave_fission_rate]
type = ElementAverageValue
block = fuel
variable = fission_rate_aux_variable
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
block = fuel
fission_rate = fission_rate_aux_variable
fuel_pin_geometry = pin_geometry
[]
[rod_total_power_mox]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
block = fuel
fission_rate = fission_rate_aux_variable_mox
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.1 # rod height
[]
[ave_themal_conductivity]
type = ElementAverageValue
block = fuel
variable = thermal_conductivity
[] # end element average burnup
[]
#[VectorPostprocessors]
# [line_value_vector_postprocessor_pore]
# type = LineValueSampler
# variable = pore
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# control_tags = a
# []
# [line_value_vector_postprocessor_gradT]
# type = LineValueSampler
# variable = grad_temp_x
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_pore_speed]
# type = LineValueSampler
# variable = pore_speed_aux
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_temp]
# type = LineValueSampler
# variable = temp
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
#[]
[Outputs]
perf_graph = true
exodus = true
csv = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
#[stuff_v_rad]
# type = CSV
# execute_on = 'FINAL'
#[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/layered_1D/clad_axial_pressure_function.i)
# This is a test of the CladdingAxialPressureFunction user object.
# The cladding has the following pertinent dimensions:
# r_inner = 0.00418
# r_outer = 0.00474
# When a coolant pressure of 1 is applied, the clad axial pressure should
# be r_outer^2 / (r_outer^2 - r_inner^2), or 4.4978.
# When a plenum pressure of 1 is applied, the clad axial pressure should
# be -r_inner^2 / (r_outer^2 - r_inner^2), or 3.4978.
# When both are applied, the clad axial pressure should be the summation of
# these, or 1.0.
[Problem]
solve = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_gap_width = 8.0e-5
clad_thickness = 0.00056
pellet_outer_radius = 0.0041
slices_per_block = 1
fuel_height = 0.01186
plenum_height = 0.0027
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Executioner]
type = Steady
[]
[Functions]
[coolant_pressure1]
type = ParsedFunction
expression = 0.25
[]
[coolant_pressure0]
type = ParsedFunction
expression = 0.0
[]
[clad_axial_pressure_coolant_only]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure0
coolant_pressure = coolant_pressure1
coolant_pressure_scaling_factor = 4.0
fuel_pin_geometry = pin_geometry
[]
[clad_axial_pressure_plenum_only]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure1
coolant_pressure = coolant_pressure0
fuel_pin_geometry = pin_geometry
[]
[clad_axial_pressure_both]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure1
coolant_pressure = coolant_pressure1
coolant_pressure_scaling_factor = 4.0
fuel_pin_geometry = pin_geometry
[]
[]
[Postprocessors]
[plenum_pressure0]
type = FunctionValuePostprocessor
function = '0.0'
execute_on = 'initial timestep_end'
[]
[plenum_pressure1]
type = FunctionValuePostprocessor
function = '1.0'
execute_on = 'initial timestep_end'
[]
[clad_axial_pressure_coolant_only]
type = FunctionValuePostprocessor
function = clad_axial_pressure_coolant_only
execute_on = 'initial timestep_end'
[]
[clad_axial_pressure_plenum_only]
type = FunctionValuePostprocessor
function = clad_axial_pressure_plenum_only
execute_on = 'initial timestep_end'
[]
[clad_axial_pressure_both]
type = FunctionValuePostprocessor
function = clad_axial_pressure_both
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
csv = true
hide = 'plenum_pressure0 plenum_pressure1'
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_G/x441_1_5D_G.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(assessment/LWR/benchmark/FUMEXII_simplified_cases/analysis/27_1/vitanza_1pt5.i)
# Model is of a 10 slice pellet stack in 1.5D
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.20435313e-11 # J/fission (200 MeV)
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = 0.0
pellet_outer_radius = 0.005305
pellet_bottom_coor = 0.00226
fuel_height = 0.0127
include_clad = false
include_plenum = false
clad_gap_width = 0
clad_thickness = 0
slices_per_block = 10
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[grain_radius]
block = fuel
initial_condition = 7.5e-6
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear
x = '-100 0 100 1e8'
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[q]
type = CompositeFunction
functions = 'power_profile axial_peaking_factors'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 20
a_upper = 0.01496
a_lower = 0.00226
fuel_inner_radius = 0.0
fuel_outer_radius = 0.005305
fuel_volume_ratio = 1
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = fuel
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[]
[BCs]
[fuel_wall_temp]
type = DirichletBC
variable = temp
boundary = '10'
value = 673
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.05
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-pc_type'
petsc_options_value = ' lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
dtmax = 1e6
dtmin = 1
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 6
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temp
execute_on = 'initial linear'
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'
[]
[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
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
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
execute_on = linear
burnup_function = burnup
variable = temp
block = fuel
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
scale_factor = 0.0127
[]
[ave_fission_rate]
type = ElementAverageValue
block = fuel
variable = fission_rate
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[fuel_center_temperature]
type = NodalVariableValue
nodeid = 165 # Paraview GlobalNodeID 166 at (0.0, 0.009245)
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = false
color = false
print_linear_residuals = true
[csv]
type = CSV
execute_on = final
[]
[chkfile]
type = CSV
show = 'burnup fis_gas_percent fuel_center_temperature rod_total_power'
execute_on = final
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'fis_gas_percent >= 0.01'
[]
[]
(test/tests/layered_1D/layered_axial_profile_nonuniform.i)
#
# This test compares the integrated axial profile using the LayeredAxialPowerProfile
# function and the raw axial profile function. The LayeredAxialPowerProfile
# function returns values very close to 1.0 in every case, whereas the raw data may
# not be integrated accurately.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '0.25 0.5 1.25 2.0 0.2'
slices_per_block = 4
pellet_outer_radius = 0.2
clad_gap_width = 0.2
clad_thickness = 0.2
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 2
nx_c = 1
bx_p = 2
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[strain_yy]
[]
[axial_profile]
order = CONSTANT
family = MONOMIAL
[]
[raw_axial_profile]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[disp_x_fuel]
type = ParsedFunction
expression = t*0.01
[]
[zero]
type = ParsedFunction
expression = '0'
[]
[raw_axial_profile]
type = ParsedFunction
expression = 'if(t<=1.0, 1.0,
if(t<=2.0, 1.0+0.05*(y-2.0),
if(t<=3.0, 1.0+0.1*cos(pi/2.0*(y-1.0)),
if(t<=4.0, 1.0+0.01*if(y<3,8*y-15,9.0),
if(t<=5.0, 1.0-0.2*cos(2.5*(y-2.0))+0.5*(y-2.0)+0.04*sin(5.0),
0)))))'
[]
[axial_profile]
type = LayeredAxialPowerProfile
axial_power_profile = raw_axial_profile
fuel_pin_geometry = pin_geometry
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
[]
[]
[AuxKernels]
[strain_yy]
type = FunctionAux
variable = strain_yy
function = zero
[]
[axial_profile]
type = FunctionAux
variable = axial_profile
function = axial_profile
[]
[raw_axial_profile]
type = FunctionAux
variable = raw_axial_profile
function = raw_axial_profile
[]
[]
[BCs]
[zero_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 12
function = zero
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[strain]
type = ComputeAxisymmetric1DIncrementalStrain
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[integrated_axial_profile]
type = LayeredSideAverageValuePostprocessor
boundary = 8
variable = axial_profile
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[integrated_raw_axial_profile]
type = LayeredSideAverageValuePostprocessor
boundary = 8
variable = raw_axial_profile
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 5
dt = 1
[]
[Outputs]
exodus = 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/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3_ox_noAm.i)
# Sample at midplane
initial_fuel_density = 11026.4
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[oxygen]
initial_condition = 0.009 #nominal value
scaling = 1e-20
[]
[]
[AuxVariables]
[temp]
[]
[fission_rate]
[]
[burnup]
[]
[oxygen_to_metal_ratio]
order = CONSTANT
family = MONOMIAL
initial_condition = 1.982
[]
[saved_t]
[]
[saved_o]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39456.16 39456.16 43890.71 43890.71 53442.06 53442.06 0'
[]
[]
[Kernels]
[oxygen_time_derivative]
type = TimeDerivative
variable = oxygen
[]
[oxygen]
type = MOXOxygenDiffusion
variable = oxygen
temperature = temp
burnup = burnup
oxygen_to_metal_ratio = oxygen_to_metal_ratio
O_M_initial = 1.982
q0 = 0.3
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[OM]
type = MaterialRealAux
variable = oxygen_to_metal_ratio
property = oxygen_to_metal_ratio
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = 0.1372
block = fuel
Am_content = 0.0
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[O_M_ratio]
type = MOXOxygenToMetalRatio
oxygen = oxygen
output_properties = 'oxygen_to_metal_ratio'
O_M_initial = 1.982
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = oxygen
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = false
color = true
csv = false
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'TIMESTEP_END'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3.i)
# Sample at midplane
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[oxygen]
[]
[fission_rate]
[]
[burnup]
[]
[oxygen_to_metal_ratio]
order = CONSTANT
family = MONOMIAL
initial_condition = 1.982
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39456.16 39456.16 43890.71 43890.71 53442.06 53442.06 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1148'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = 0.1372
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[oxygen_partial_pressure_integral]
type = MOXOxygenPartialPressure
block = fuel
temperature = temp
o2m_deviation = 0.02
po2_initial = 0.01
outputs = exodus
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_rel_tol = 1e-05
fixed_point_abs_tol = 1e-05
fixed_point_max_its = 1
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_ox]
type = ElementAverageValue
variable = oxygen
[]
[max_ox]
type = NodalExtremeValue
value_type = max
variable = oxygen
[]
[min_ox]
type = NodalExtremeValue
value_type = min
variable = oxygen
[]
[ave_om_ratio]
type = ElementAverageValue
variable = oxygen_to_metal_ratio
[]
[max_om_ratio]
type = ElementExtremeValue
value_type = max
variable = oxygen_to_metal_ratio
[]
[min_om_ratio]
type = ElementExtremeValue
value_type = min
variable = oxygen_to_metal_ratio
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior ave_om_ratio'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions = '0 0.005 0'
input_files = b14_ptm001_1D_sample3_ox.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppCopyTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[ox_from_sub]
type = MultiAppCopyTransfer
from_multi_app = sub
source_variable = oxygen
variable = oxygen
[]
[ox_to_met_from_sub]
type = MultiAppCopyTransfer
from_multi_app = sub
source_variable = oxygen_to_metal_ratio
variable = oxygen_to_metal_ratio
[]
[]
[Debug]
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/RE_Ginna_Rodlets/analysis/RE_Ginna_rodlet-4/RE_Ginna_rodlet_4_1pt5.i)
# This file contains all characteristics specific to the Rodlet 4 1.5 D layered model
# It uses information from the Base file to create a complete input file
!include ../RE_Ginna_Rodlets_Base.i
id = RE_Ginna_rodlet_4_1pt5
# Fuel material properties
initial_grain_radius = 10.0e-6 # m (2D grain radius 10.0e-6)
fuel_youngs_modulus = 2.0e11 # Pa
fuel_poissons_ratio = 0.345 # (-)
# Cladding material properties
cladding_thermal_expansion_coeff = 5.0e-6 # K^-1
# Rod geometry
fuel_inner_radius = 0.001407 # m
pellet_inner_radius = 0.001407 # m
pellet_outer_radius = 0.0044515 # m
fuel_height = 0.541782 # m
plenum_height = 0.047316 # m
rod_power_scale_factor = 0.541782 # m (rod height)
# Cladding geometry
clad_gap_width = 9.5e-5 # m
clad_thickness = 7.495e-4 # m
# Mesh parameters
slices_per_block = 10
fuel_blockid = fuel
clad_blockid = clad
# Coolant pressure ramp parameters
pressure_ramp_x = '-100 0 115273407.3 115273767.3'
pressure_ramp_y = '0.006533 1 1 0.006533'
coolant_pressure_scaling_factor = 15.51e6
# Isotope fractions
isotope_fraction_U235 = 0.037
isotope_fraction_U238 = 0.963
# BC boundary names
clad_surface_temperature_boundary = 2
coolantPressure_boundary = 2
PP_temperature = ave_temperature_interior
PP_volume = gas_volume
# Materials block parameters
fuel_elasticity_tensor_type = ComputeIsotropicElasticityTensor
clad_stress_inelastic_models = 'clad_creep'
clad_thermal_expansion_type = ComputeThermalExpansionEigenstrain
# Eigenstrain names
fuel_thermal_expansion_eigenstrain_name = fuel_thermal_strain
fuel_volumetric_swelling_eigenstrain_name = fuel_volumetric_strain
clad_thermal_expansion_eigenstrain_name = clad_thermal_eigenstrain
# Relocation
burnup_relocation_stop = 0.0204 # FIMA
# Numerical options
damper_max_temperature_value = 3200 # K
damper_min_temperature_value = 275 # K
verbose_option = false
nl_max_its = 50
end_time = 115273767.3 # s
TimeStepper_optimal_iterations = 15
TimeStepper_iteration_window = 5
TimeStepper_max_function_change = 3e20
# Postprocessor parameters
fis_gas_grain_Postpro_type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
fis_gas_boundary_Postpro_type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
clad_flux_Postpro_type = LayeredSideFluxIntegralPostprocessor
fuel_flux_Postpro_type = LayeredSideFluxIntegralPostprocessor
FCT_nodeid = 264 # GlobalNodeID 265, coords (0.001407, 0.30122)
gap_nodeid = 295 # coords (0.0044515, 0.30122)
contact_pressure_nodeid = 295 # coords (0.0044515, 0.30122)
# Data file pathways
power_history_data_file = 'RE_Ginna_rodlet-4/rodlet4_power.csv'
axial_peaking_data_file = 'RE_Ginna_rodlet-4/rodlet4_axial_peaking.csv'
flux_data_file = 'RE_Ginna_rodlet-4/rodlet4_fast_flux.csv'
clad_temperature_bc_data_file = 'RE_Ginna_rodlet-4/rodlet4_clad_bc.csv'
[GlobalParams]
displacements = disp_x
temperature = temperature
[]
[Mesh]
[layered1D_mesh]
type = Layered1DMeshGenerator
pellet_inner_radius = ${pellet_inner_radius}
pellet_outer_radius = ${pellet_outer_radius}
clad_gap_width = ${clad_gap_width}
clad_thickness = ${clad_thickness}
fuel_height = ${fuel_height}
plenum_height = ${plenum_height}
slices_per_block = ${slices_per_block}
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Functions]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = ${coolant_pressure_scaling_factor}
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_volumetric_strain
fuel_relocation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress'
mesh_generator = layered1D_mesh
extra_vector_tags = 'ref'
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'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress creep_strain_xx
creep_strain_xy creep_strain_yy creep_strain_zz'
mesh_generator = layered1D_mesh
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
[]
[]
[]
[]
[Burnup]
[burnup]
density = ${initial_fuel_density}
[]
[]
[Materials]
[fuel_elasticity_tensor]
youngs_modulus = ${fuel_youngs_modulus}
poissons_ratio = ${fuel_poissons_ratio}
[]
[clad_thermal_expansion]
thermal_expansion_coeff = ${cladding_thermal_expansion_coeff}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
# [limitT]
# type = MaxIncrement
# variable = temperature
# max_increment = 50
# []
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = ${damper_max_temperature_value}
min_value = ${damper_min_temperature_value}
[]
[]
[Executioner]
[TimeStepper]
max_function_change = ${TimeStepper_max_function_change}
[]
[]
[Postprocessors]
[ave_temperature_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
fuel_pin_geometry = pin_geometry
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = LayeredInternalVolumePostprocessor
boundary = 7
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[avg_clad_temperature]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[fis_gas_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = ${fuel_blockid}
fuel_pin_geometry = pin_geometry
[]
[fission_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = ${fuel_blockid}
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
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]
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
fuel_pin_geometry = pin_geometry
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temperature
fission_rate = fission_rate
block = ${fuel_blockid}
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${rod_power_scale_factor}
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[rod_ave_lin_pow]
type = LayeredElementIntegralPowerPostprocessor
block = ${fuel_blockid}
burnup_function = burnup
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fis_gas_generated
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = ${fuel_blockid}
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = ${clad_blockid}
variable = vonmises_stress
[]
# nodal value comparison
[FCT]
type = NodalVariableValue
variable = temperature
nodeid = ${FCT_nodeid}
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = ${gap_nodeid}
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = ${contact_pressure_nodeid}
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_pellet'
[]
[]
[Outputs]
[outfile_clad]
type = CSV
file_base = '${id}_outfile_clad'
execute_on = 'FINAL'
[]
[outfile_pellet]
type = CSV
file_base = '${id}_outfile_pellet'
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_burnup fis_gas_percent FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(test/tests/element_integral_power/ad_fission_gas_sifgrs_1D.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a RZ cylinder
# having an inner radius of 0.01 m, outer radius of 0.0114818 m and height of 0.01 m.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * Pi*(0.0114818^2 - 0.01^2) * 0.01
# = 100
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.01
include_clad = false
include_plenum = false
slices_per_block = 1
pellet_bottom_coor = 0
pellet_outer_radius = 0.011481768
pellet_inner_radius = 0.01
clad_gap_width = 0
clad_thickness = 0
elem_type = EDGE2
pellet_mesh_density = customize
nx_p = 1
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[temp]
initial_condition = 500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temp
[]
[ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 3.125e18
fission_rate_function = unity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[left_T]
type = ADDirichletBC
variable = temp
boundary = 13
value = 500.0
[]
[]
[Materials]
[fuel]
type = ADHeatConductionMaterial
block = fuel
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ADParsedMaterial
block = fuel
property_name = density
expression = 10000
[]
[fission_gas_release]
type = ADUO2Sifgrs
temperature = temp
fission_rate = fission_rate
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = -pc_factor_shift_type
petsc_options_value = nonzero
start_time = 0.0
num_steps = 2
dt = 1.0e6
nl_abs_tol = 1e-8
[]
[Postprocessors]
[fis_gas_generated]
type = ADLayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = ADLayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_grain]
type = ADLayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = ADLayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Outputs]
exodus = true
[]
(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
[]
[]
(test/tests/layered_1D/layered_nodal_extreme.i)
# The purpose of this test is to test the layered nodal extreme value
# userobject. The tests consists of 5 layers of fuel and clad. The initial gap
# width is zero in each layer and a time varying displacement to the interior
# surface of the cladding is applied:
#
# disp_x = 2.0e-5 * t * sin(pi * y / 0.5)
#
# Two different LayeredNodalExtremeValue userobjects are used. One for the
# maximum disp_x value on the interior of the cladding and one for the minimum
# penetration value on the fuel surface. In this setup the minimum penetration
# value in a layer corresponds to the negative of the maximum disp_x in a layer.
#
# Given that each layer is 0.1 m high and initial cladding radius is 4.5e-3
# the expected extreme values in each layer are given below at t = 10 s:
#
# Layer Max. disp_x Min. Penetration Max. disp_x Min. Penetration
# BISON BISON Analytical Analytical
# 1 6.18034e-5 -6.18034e-5 6.18034e-5 -6.18034e-5
# 2 1.61803e-4 -1.61803e-4 1.61803e-4 -1.61803e-4
# 3 2.00000e-4 -2.00000e-4 2.00000e-4 -2.00000e-4
# 4 1.61803e-4 -1.61803e-4 1.61803e-4 -1.61803e-4
# 5 6.18034e-5 -6.18034e-5 6.18034e-5 -6.18034e-5
#
# Two additional LayeredNodalExtremeValue userobjects are included that are
# applied to the blocks to demonstrate that the values obtained from applying
# to the boundary or the block are the same as they should be for these
# conditions.
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[strain_yy]
[]
[layered_max_disp_x]
order = CONSTANT
family = MONOMIAL
[]
[layered_penetration]
order = CONSTANT
family = MONOMIAL
[]
[layered_max_disp_x_block]
order = CONSTANT
family = MONOMIAL
[]
[layered_penetration_block]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 0.5)'
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
[]
[]
[AuxKernels]
[layered_max_disp_x]
type = SpatialUserObjectAux
variable = layered_max_disp_x
execute_on = timestep_end
block = clad
user_object = layered_max_disp_x
[]
[layered_penetration]
type = SpatialUserObjectAux
variable = layered_penetration
execute_on = timestep_end
block = fuel
user_object = layered_penetration
[]
[layered_max_disp_x_block]
type = SpatialUserObjectAux
variable = layered_max_disp_x_block
execute_on = timestep_end
block = clad
user_object = layered_max_disp_x_block
[]
[layered_penetration_block]
type = SpatialUserObjectAux
variable = layered_penetration_block
execute_on = timestep_end
block = fuel
user_object = layered_penetration_block
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = 5
function = clad_displacement_function
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10.0
poissons_ratio = 0
[]
[strain]
type = ComputeAxisymmetric1DFiniteStrain
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_max_disp_x]
type = LayeredNodalExtremeValue
execute_on = 'initial timestep_end'
variable = disp_x
value_type = max
boundary = 5
direction = y
num_layers = 5
[]
[layered_penetration]
type = LayeredNodalExtremeValue
execute_on = 'initial timestep_end'
variable = penetration
value_type = min
boundary = 10
direction = y
num_layers = 5
[]
[layered_max_disp_x_block]
type = LayeredNodalExtremeValue
execute_on = 'initial timestep_end'
variable = disp_x
value_type = max
block = clad
direction = y
num_layers = 5
[]
[layered_penetration_block]
type = LayeredNodalExtremeValue
execute_on = 'initial timestep_end'
variable = penetration
value_type = min
block = fuel
direction = y
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/radial_power_factor.i)
[GlobalParams]
density = 10431.0
displacements = disp_x
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[layered1D_mesh]
type = Layered1DMeshGenerator
include_clad = false
include_plenum = false
slices_per_block = 1
pellet_bottom_coor = 0
pellet_mesh_density = customize
fuel_height = 1
pellet_outer_radius = 0.0041
nx_p = 10
bx_p = 0.5
elem_type = EDGE2
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 7e7'
y = '1373.15 1473.15'
[]
[power]
type = ParsedFunction
expression = '20000'
[]
[axial_power_factor]
type = ParsedFunction
expression = '1'
[]
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1373.15
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
# Would normally supply 'burnup = burnup' to NeutronHeatSource.
# Give rod_ave_lin_pow instead to exercise a corner of code.
[nhs]
type = NeutronHeatSource
rod_ave_lin_pow = power
fuel_pin_geometry = pin_geometry
variable = temp
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[gps]
strain = small
incremental = true
planar_formulation = plane_strain
[]
[]
[Burnup]
[burnup]
block = fuel
order = FIRST
family = LAGRANGE
rod_ave_lin_pow = power
axial_power_profile = axial_power_factor
num_radial = 11
bias = 0.5
num_axial = 2
a_lower = 0
a_upper = 1.0
fuel_inner_radius = 0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[BCs]
[ux]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[temp]
type = FunctionDirichletBC
variable = temp
boundary = 12
function = temp
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 1.0
poissons_ratio = 0.3
[]
[stress]
type = ComputeStrainIncrementBasedStress
block = fuel
[]
[thermal]
type = UO2Thermal
block = fuel
temperature = temp
burnup_function = burnup
initial_porosity = 0
thermal_conductivity_model = FINK_LUCUTA
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew '
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type'
petsc_options_value = '70 hypre boomeramg'
l_max_its = 60
nl_rel_tol = 1e-2
nl_abs_tol = 1e-2
l_tol = 1e-5
start_time = 0.0
dt = 100000
num_steps = 700
[]
[Outputs]
time_step_interval = 20
exodus = true
show = 'fission_rate burnup N235 N236 N238 N239 N240 N241 N242 RPF rod_input_power rod_total_power'
[console]
type = Console
max_rows = 25
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
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'
[]
[]
(test/tests/anisotropic_swelling/anisotropic_swelling_eigenstrain.i)
# The purpose of this test is to verify the calculation of the eigenstrain
# applied to the fuel to represent an anisotropic swelling behavior observed
# in metal fuels. The eigenstrain is used to move the outer radius of the fuel
# to close the fuel/cladding gap a specific amount to account for the
# anisotropic swelling. An anisotropy factor is used to determine the fraction
# of the initial fuel/cladding gap to remove via this eigenstrain. This
# empirical factor is determined from a curve fit of experimental data
# provided in a plot from a paper by Ogata and Yokoo. The initial
# implementation of this capability is being done using a 1.5D model for
# simplicity.
#
# The eigenstrain is calculated as:
#
# epsilon = ln (1.0 + delta_r / pellet_outer_radius)
#
# where delta_r = anisotropy_factor * clad_gap_width
#
# In this model the clad_gap_width is 3.50e-4 (350 microns) and the
# pellet_outer_radius is 2.0e-3 (2 mm). The anisotropy_factor for UZr fuel is
# taken as 0.5. Therefore, the anisotropic_swelling_eigenstrain is
#
# epsilon = ln (1.0 + 0.5 * 3.5e-4 / 2.0e-3)
#
# epsilon = 8.388148e-2
#
# The resulting displacement of the fuel closes the fuel/cladding gap from 350
# microns to 175 microns.
#
# These results are verified by Postprocessor output of the relevant
# quantities (anisotropic swelling strain, clad/fuel gap and the displacemnet
# of the fuel outer node).
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 1
clad_gap_width = 3.5e-4
clad_thickness = 3.8e-4
fuel_height = 0.1
include_clad = true
include_plenum = false
pellet_outer_radius = 2.0e-3
elem_type = EDGE2
pellet_mesh_density = 'customize'
clad_mesh_density = 'customize'
nx_p = 1
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 580
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[anisotropic_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
eigenstrain_names = 'fuel_anisotropic_swelling_strain'
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[anisotropic_swelling_strain]
type = MaterialRealAux
variable = anisotropic_swelling_strain
block = fuel
property = anisotropic_swelling_strain
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
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '12 2'
variable = temperature
value = 580
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[]
[Materials]
[porotiy]
type = GenericConstantMaterial
block = fuel
prop_names = porosity
prop_values = 0.0
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = fuel
X_Zr = 0.0
X_Pu = 0.0
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_anisotropic_swelling_strain]
type = UPuZrAnisotropicSwellingEigenstrain
block = fuel
fuel_pin_geometry = fuel_pin_geometry
anisotropy_factor = 0.50
eigenstrain_name = fuel_anisotropic_swelling_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[aniso_swelling_strain]
type = ElementAverageValue
variable = anisotropic_swelling_strain
block = fuel
execute_on = 'initial timestep_end'
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
execute_on = 'initial timestep_end'
[]
[disp_fuel_outer_node]
type = NodalVariableValue
variable = disp_x
nodeid = 3
[]
[]
[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-6
nl_abs_tol = 1e-8
start_time = 0
n_startup_steps = 1
end_time = 6.0e2
num_steps = 5000
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
[]
[]
[Outputs]
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
(test/tests/mox_pore_velocity/MOXActinide_simple.i)
# This input files uses the actinide redistribution kernels
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.1
pellet_outer_radius = 0.0041
include_clad = false
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
[]
[]
[Variables]
[temperature]
initial_condition = 1400.0
[]
[actinide]
initial_condition = 20
scaling = 1e8
[]
[]
[AuxVariables]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[pore]
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 50000'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = fuel # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate_aux_variable_mox
[]
[actinide_redistribution]
type = MOXActinideRedistribution
variable = actinide
debug = 0
temperature = temperature
scale_factor = 0.5
v_upper = 0
v_lower = 0
heating_function = power_history1
[]
[actinide_redistribution_enhancement]
type = MOXActinideRedistributionEnhancement
variable = actinide
debug = 0
temperature = temperature
pore = pore
pore_diameter = 1e-10
pore_thickness = 1e-11
scaling_parameter_A = 0.35
scale_factor = 0.5
v_upper = 0
v_lower = 0
heating_function = power_history1
[]
[actinide_time_derivative]
type = CoefTimeDerivative
variable = actinide
Coefficient = 1
[]
[]
[AuxKernels]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
block = fuel
porosity = pore
initial_porosity = 0.12
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0082
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[pore]
type = ConstantAux
value = 0.12
variable = pore
[]
[]
[BCs]
[temp_outside] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = temperature
boundary = 10
value = 1400
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = fuel
temperature = temperature
porosity = pore
[]
[density_block]
type = GenericConstantMaterial
block = fuel
prop_names = density
prop_values = 10431.0
[]
[pore_velocity]
type = ParsedMaterial
block = fuel
expression = '1e-2'
property_name = pore_velocity
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[]
[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-8 #1e-10
n_startup_steps = 1
end_time = 8e4
num_steps = 2
dtmax = 1000
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[power_input]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.1 # rod height
[]
[rod_total_power_mox]
type = LayeredElementIntegralPowerPostprocessor
variable = temperature
block = fuel
fission_rate = fission_rate_aux_variable_mox
fuel_pin_geometry = pin_geometry
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temperature
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_actinide]
type = NodalExtremeValue
variable = actinide
block = fuel
execute_on = 'initial timestep_end'
[]
[min_actinide]
type = NodalExtremeValue
variable = actinide
block = fuel
value_type = min
execute_on = 'initial timestep_end'
[]
[average_actinide]
type = AverageNodalVariableValue
variable = actinide
block = fuel
execute_on = 'initial timestep_end'
[]
[]
# The MOX capabilities are under active development and the blocks below are useful for
# development and debugging by providing the profiles of the desired quantities.
# They are commented out for the tests, as it would unnecessarily increase computational costs
# and memory requirements.
# [VectorPostprocessors]
# [line_value_vector_postprocessor_pore]
# type = LineValueSampler
# variable = pore
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# control_tags = a
# []
# [line_value_vector_postprocessor_pore_speed]
# type = LineValueSampler
# variable = pore_speed_aux
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_temperature]
# type = LineValueSampler
# variable = temperature
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_actinide]
# type = LineValueSampler
# variable = actinide
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# []
[Outputs]
exodus = true
csv = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
# [stuff_v_rad]
# type = CSV
# execute_on = 'FINAL'
# []
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_1D_sample2.i)
# Sample at +97mm from midplane
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.002675
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 36350.6 36350.6 40436.1 40436.1 49235.7 49235.7 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1315'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_H/x441_1_5D_H.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/layered_1D/with_coating.i)
#
# Thick cylinder problem where the mesh is split between cladding and coating blocks.
#
# ri = 1.0
# ro = sqrt(2)
# pi = 2.0
# po = 1.0
#
# (ri^2*pi-ro^2*po) (pi-po)*ri^2*ro^2 -2
# sigma_r = ----------------- - ----------------- = -----
# (ro^2-ri^2) (ro^2-ri^2)*r^2 r^2
#
# (ri^2*pi-ro^2*po) (pi-po)*ri^2*ro^2 2
# sigma_t = ----------------- + ----------------- = -----
# (ro^2-ri^2) (ro^2-ri^2)*r^2 r^2
#
# (sigma_t-nu*sigma_r)*r
# disp_r = ----------------------
# E
#
[GlobalParams]
displacements = disp_x
slice_heights = '1.0'
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slices_per_block = '1'
include_fuel = false
include_clad = true
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = '1.0'
clad_gap_width = 0.0
clad_thickness = 0.3
pellet_mesh_density = customize
clad_mesh_density = customize
additional_block_names = 'coating'
additional_elements_per_ring = '30'
additional_ring_thicknesses = '0.1142135623730951'
nx_c = 300
elem_type = EDGE3
[]
[]
[Functions]
[clad_inner_pressure]
type = ParsedFunction
expression = 2.0
[]
[clad_outer_pressure]
type = ParsedFunction
expression = 1.0
[]
[]
[BCs]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = 2
factor = 1.0
function = clad_outer_pressure
[]
[interior_pressure_x]
type = Pressure
variable = disp_x
boundary = 5
factor = 1.0
function = clad_inner_pressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
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
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = true
include_fuel = false
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[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 = 0.0
strain = finite
mesh_generator = layered1D_mesh
[]
[coating]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = 'coating'
out_of_plane_pressure_function = 0.0
strain = finite
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'clad coating'
youngs_modulus = 1e6
poissons_ratio = 0.25
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = 'clad coating'
[]
[]
[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
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[max_stress_xx]
type = ElementExtremeValue
variable = stress_xx
[]
[max_stress_zz]
type = ElementExtremeValue
variable = stress_zz
[]
[min_stress_xx]
type = ElementExtremeValue
variable = stress_xx
value_type = min
[]
[min_stress_zz]
type = ElementExtremeValue
variable = stress_zz
value_type = min
[]
[disp_x_inner]
type = NodalVariableValue
nodeid = 0
variable = disp_x
[]
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/gps_elastic_2scalar_2slice_1block.i)
#
# This test checks the generalized plane strain formulation. The model consists
# of two sets of line elements. One undergoes a temperature rise of 100 with
# the other seeing a temperature rise of 300. Young's modulus is 3600, and
# Poisson's ratio is 0.2. The thermal expansion coefficient is 1e-8. All
# nodes are constrained against movement.
#
# With an out of plane strain of 1.5e-6 in the first layer and 4.5e-6 in the
# second layer, the stress solution is [-4.5e-3, -4.5e-3, -4.5e-3] and
# [-13.5e-3, -2.0e-17, -13.5e-3] (xx, yy, zz).
#
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[layered1D_mesh]
type = Layered1DMeshGenerator
include_clad = false
include_plenum = false
pellet_bottom_coor = -0.5
pellet_outer_radius = 1.0
fuel_height = 2.0
slices_per_block = 2
pellet_mesh_density = customize
nx_p = 5
elem_type = EDGE2
[]
[bounding_box_node_set]
type = BoundingBoxNodeSetGenerator
bottom_left = '-1 -1 0'
top_right = '2 2 0'
new_boundary = 1000
input = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 580.0
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp100]
type = PiecewiseLinear
x = '0 1'
y = '580 680'
[]
[temp300]
type = PiecewiseLinear
x = '0 1'
y = '580 880'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_variables = true
add_scalar_variables = true
fuel_pin_geometry = pin_geometry
out_of_plane_strain_name = strain_yy
strain = small
incremental = true
eigenstrain_names = eigenstrain
block = fuel
outputs = all
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[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
[]
[]
[BCs]
[no_x]
type = DirichletBC
boundary = 1000
value = 0
variable = disp_x
[]
[temp100]
type = FunctionDirichletBC
variable = temp
function = temp100
boundary = 20
[]
[temp300]
type = FunctionDirichletBC
variable = temp
function = temp300
boundary = 22
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 3600
poissons_ratio = 0.2
[]
[thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1e-8
stress_free_temperature = 580
eigenstrain_name = eigenstrain
[]
[stress]
type = ComputeStrainIncrementBasedStress
block = fuel
[]
[thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[]
[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 = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
start_time = 0
end_time = 1
num_steps = 1
[]
[Outputs]
exodus = true
console = true
[]
(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_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
include_fuel = false
include_clad = true
include_plenum = false
pellet_outer_radius = 0.00465
clad_gap_width = 0
clad_thickness = 0.000725
fuel_height = 0.1625
slices_per_block = 10
pellet_bottom_coor = 0.0
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = inner_pressure_func
coolant_pressure = outer_pressure_func
coolant_pressure_scaling_factor = 1
fuel_pin_geometry = pin_geometry
[]
[]
[Physics/SolidMechanics/Layered1D]
[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
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
group_scalar_vars_in_reference_residual = false
mesh_generator = layered1D_mesh
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 5
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 5
function = inner_pressure_func
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1. # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
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_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[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-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[max_eff_creep_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = effective_creep_strain
[]
[max_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad_slice] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 28 # 1 line element
[]
[inner_pressure_func]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial linear'
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 9 #single line element
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 9 #single line element
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 9 #single line element
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_1pt5_out_chkfile
show = 'ave_clad_exterior_temp max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(test/tests/layered_1D/densification_only.i)
#
# Test of densification (1000K)
#
# With a burnup of 0.0009499, the volumetric strain should be -0.005.
# This is easily checked with the 'volume' postprocessor value.
#
[GlobalParams]
displacements = disp_x
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.3183098861837907 # 1 / pi
pellet_outer_radius = 1
include_clad = false
include_plenum = false
slices_per_block = 1
pellet_bottom_coor = 0
pellet_mesh_density = customize
nx_p = 1
elem_type = EDGE2
[]
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[scalar_strain_yy]
order = FIRST
family = SCALAR
[]
[]
[AuxVariables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1000.0
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
[]
[densification]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/Layered1D]
[gps]
block = fuel
strain = finite
eigenstrain_names = 'densification_strain thermal_strain'
out_of_plane_strain_name = strain_yy
scalar_out_of_plane_strain_variables = scalar_strain_yy
fuel_pin_geometry = pin_geometry
mesh_generator = layered1D_mesh
[]
[]
[Functions]
[burnupFunc]
type = PiecewiseLinear
x = '0 1'
y = '0 0.0009499001513152362'
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnupFunc
execute_on = timestep_begin
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[densification]
type = MaterialRealAux
variable = densification
property = densification
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = volumetricstrain
execute_on = timestep_end
[]
[]
[BCs]
[x]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 1.0
poissons_ratio = 0.3
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = fuel
temperature = temp
burnup = burnup
complete_burnup = 5
total_densification = 0.01
initial_fuel_density = 10430.0
include_gas_swelling = false
include_solid_swelling = false
include_densification = true
eigenstrain_name = densification_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.0e-5
temperature = temp
stress_free_temperature = 1000.0
eigenstrain_name = thermal_strain
[]
[density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10430.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew '
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type'
petsc_options_value = '70 hypre boomeramg'
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 = 1.0
num_steps = 10
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
boundary = 9
execute_on = 'initial timestep_end'
[]
[ave_burnup]
type = ElementAverageValue
variable = burnup
block = fuel
[]
[]
[Outputs]
exodus = true
hide = 'disp_x temp'
[]
(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
[]
[]
(test/tests/axial_relocation/ad_uo2_pulverization.i)
# The purpose of this test is to calculate the amount of pulverization in
# a high burnup fuel as part of the axial relocation algorithm. In the test 5
# axial fuel slices are modeled without cladding with an outer fuel radius of 4.5 mm
# and slice height of 0.1 m. Ten radial finite elements are used. The burnup
# increases linearly from the fuel centerline to the fuel surface. The burnup also
# increases as a function of time from 0 to 100 MWd/kgU on the fuel surface over 100 seconds.
#
# The fuel temperature is held constant at 1200 K. And a constant contact pressure
# is applied to the fuel surface of 40 MPa.
#
# The threshold for pulverization is given by an empirical temperature threshold
# as a function of burnup. A local burnup of 71 MWd/kgU is required for pulverization
# to begin. At this burnup the temperature threshold is 1193.15 K. The temperature
# threshold linearly decreases to a value of 913.15 K at 94 MWd/kgU after which
# it is constant.
#
# Based upon the conditions and threshold given above at t = 100 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
#
# Using command line arguments another test is run where the contact pressure is
# changed to 60 MPa which precludes pulverization for the duration of that test.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*t/4.275'
[]
[contact_pressure_function]
type = ConstantFunction
value = 40.0e6
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[contact_pressure]
type = FunctionAux
variable = contact_pressure
boundary = 10
function = contact_pressure_function
execute_on = 'initial timestep_end'
[]
[pulverized]
type = ADMaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial timestep_end'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[]
[BCs]
[temperature]
type = ADDirichletBC
boundary = '10 12'
variable = temperature
value = 1200
[]
[]
[Materials]
[uo2pulverization]
type = ADUO2Pulverization
block = fuel
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[thermal]
type = ADHeatConductionMaterial
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial timestep_end'
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = Newton
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 100
dt = 1
[]
[Outputs]
exodus = true
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample2.i)
# Sample at +97mm from midplane
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 36350.63 36350.63 40436.15 40436.15 49235.72 49235.72 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1178'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/layered_1D/elongation_friction_rr.i)
#
# This test checks friction is applied to a one-dimensional,
# layered simulations. In this simulation, fuel and cladding
# arrive at a stick state, which constraints out of plane strain
# increments in both blocks to be equal.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
plenum_height = 0.1e-3 # 1 / pi
slices_per_block = 1
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 5
nx_c = 3
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[temperature]
[]
[tangential_contact_pressure_aux]
block = fuel
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 8'
y = '300 2000'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
temperature = temperature
fuel_pin_geometry = pin_geometry
eigenstrain_names = 'fuel_thermal_strain'
block = fuel
strain = finite
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
temperature = temperature
fuel_pin_geometry = pin_geometry
eigenstrain_names = 'clad_thermal_strain'
block = clad
strain = finite
mesh_generator = layered1D_mesh
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = temperature_function
variable = temperature
[]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'LINEAR NONLINEAR TIMESTEP_END'
[]
[]
[BCs]
[disp_x]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 200e9
poissons_ratio = 0
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 40e-6
temperature = temperature
stress_free_temperature = 300
block = fuel
eigenstrain_name = fuel_thermal_strain
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 3e-6
temperature = temperature
stress_free_temperature = 300
block = clad
eigenstrain_name = clad_thermal_strain
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = clad_inside_right
secondary = pellet_outer_radial_surface
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 2
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 1
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 1
# 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 = 0.0045
direction_max = 0.0055
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 1
# 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 = 0.0045
direction_max = 0.0055
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 = 1
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 = 0.01
thickness = 0.01
# 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 = 0.0045
direction_max = 0.0055
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 1
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 1
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 1
# 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 = 0.0045
direction_max = 0.0055
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 = 0.01
thickness = 0.01
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 1
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 1
execute_on = 'LINEAR NONLINEAR'
[]
[]
[Postprocessors]
[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'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-5
end_time = 8
dt = 1
[]
[Outputs]
csv = true
exodus = true
[]
(test/tests/uo2_transient_fission_gas_release/uo2_pulverization_phasefield2_transient_FGR.i)
# This file is to test the transient fission gas release model that accounts for
# the amount of fission gas released as a result of fuel pulverization. it is
# based on the input file called uo2_pulverization_mesoscale.i, which tests the
# pulverization criteria for UO2 fuel with evolve_bubble_pressure_hbs = true and
# using the 3D phase field criterion for pulverization.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 673.15 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 125. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. A material property uses the local pulverization to compute the
# amount of fission gas released as a results of fuel pulverization.
# This material property is output to the exodus file for this test.
# At each time step, the pulverized material property is computed, as well as
# the bubble radius and amount of fission gas in bubbles. These material property
# are then used to determine the amount of fission gas release due to pulverization.
# This amount predicted by the material block
# UO2PulverizationTransientFissionGasRelease is compared with analytical calculations
# made in the material block fission_gas_released_amount for verification.
# This input is the non-AD version.
hydrostatic_stress_constant = 1e7
[GlobalParams]
value_range_behavior = WARN
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 900, 900+(t-100)*200)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
ig_bubble_model = MECHANISTIC_AAGESEN
hbs_model = true
hbs_material = hbs_formation
pulverization_model = true
pulverization_transient_fission_gas_release_material = UO2PulverizationTransientFissionGasRelease
ig_diff_algorithm = FORMAS
hydrostatic_stress_const = ${hydrostatic_stress_constant}
igdiffcoeff_scalef_HBS = 1e24 # Ensures that all the generated fission gases diffuse from the HBS matrix to the HBS bubbles
[]
[uo2pulverizationmesoscale]
type = UO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
pulverization_criterion_type = phase_field_3D
outputs = exodus
[]
[dummy_stress]
type = GenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-${hydrostatic_stress_constant} -${hydrostatic_stress_constant} -${hydrostatic_stress_constant} 0 0 0'
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = HighBurnupStructureFormation
block = fuel
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[fission_gas_density_bubble_HBS] # moles/m^3
type = ParsedMaterial
block = fuel
property_name = 'rho_FG_hbs'
material_property_names = 'atom_per_bubble_GB_HBS bubble_GB_volume_density_HBS'
constant_names = 'Na'
constant_expressions = '6.02214076e23'
expression = 'atom_per_bubble_GB_HBS * bubble_GB_volume_density_HBS / Na'
outputs = exodus
[]
[opened_pore_volume_fraction] # -
type = ParsedMaterial
block = fuel
property_name = 'f_V_pul'
material_property_names = 'hbs_porosity bubble_radius_GB_HBS'
constant_names = 'fragment_size c_p c_r c_0'
constant_expressions = '5e-5 0.03 5.17 0.02'
expression = 'c_p * hbs_porosity + c_r * bubble_radius_GB_HBS/fragment_size + c_0'
outputs = exodus
[]
[fission_gas_released_amount_analytical] # moles/m^3
type = ParsedMaterial
block = fuel
property_name = 'fis_gas_rel'
material_property_names = 'f_V_pul rho_FG_hbs pulverized'
expression = 'pulverized * f_V_pul * rho_FG_hbs'
outputs = exodus
[]
[UO2PulverizationTransientFissionGasRelease] # moles/m^3
type = UO2PulverizationTransientFissionGasRelease
block = fuel
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Postprocessors]
[FG_amount_bubble_HBS]
type = LayeredElementIntegralMaterialProperty
mat_prop = rho_FG_hbs
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[FGR_analytical]
type = LayeredElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[FGR]
type = LayeredElementIntegralMaterialProperty
mat_prop = gas_concentration_release_pulverization
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[FGR_pps_diff_bison_analytical]
type = DifferencePostprocessor
value1 = FGR_analytical
value2 = FGR
[]
[FG_pps_diff_total_released]
type = DifferencePostprocessor
value1 = FG_amount_bubble_HBS
value2 = FGR
[]
[volume_domain]
type = LayeredElementIntegralMaterialProperty
mat_prop = 1
block = fuel
execute_on = TIMESTEP_END
fuel_pin_geometry = fuel_pin_geometry
[]
[hbs_volume]
type = LayeredElementIntegralMaterialProperty
mat_prop = hbs_volume_fraction
block = fuel
execute_on = TIMESTEP_END
fuel_pin_geometry = fuel_pin_geometry
[]
[hbs_volume_fraction]
type = ParsedPostprocessor
pp_names = 'hbs_volume volume_domain'
expression = 'hbs_volume / volume_domain'
execute_on = TIMESTEP_END
[]
[pulverized_volume]
type = LayeredElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
execute_on = TIMESTEP_END
fuel_pin_geometry = fuel_pin_geometry
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 125
dt = 1
[]
[Outputs]
exodus = true
csv = true
file_base = uo2_pulverization_phasefield2_transient_FGR_out
[]
(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
[]
[]
(test/tests/axial_relocation/packing_fraction.i)
# The purpose of this test is to calculate the effective packing fraction of crumbled
# fuel that is a mixture of larger fragments and smaller pulvers. A linearly varying
# burnup is applied through the radius of 5 axial fuel slices which are modeled with
# cladding of 0.56 mm with an outer fuel radius of 4.5 mm and slice height of 0.1 m.
# Ten radial finite elements are used. The burnup increases linearly from the fuel
# centerline to the fuel surface but is constant in time.
#
# The fuel temperature is held constant at 1200 K. The burnup function applied corresponds
# to the pulverization profile observed at the end of the uo2_pulverization.i test.
# This yielded a layered pulverized fuel volume of 3.24448e-6 m^3 in each layer.
#
# Given this layered average pulverized fuel volume and using the defaults of the
# AxialRelocationUserObject the effective fuel packing fraction can then be calculated
# by solving the following equation using a Newton iteration scheme:
#
# a^2 + 2Gab + b^2 = 1
#
# where a, b, and G are complex functions of the pulver_packing_fraction,
# fragment_packing_fraction, pulver_characteristic_length, calculated fragment
# characteristic length, pulver mass fraction and fragment mass fraction and
# packing fraction of the mixture. These functions are defined in the theory
# documentation of the AxialRelocationUserObject. A maximum power of 15000 W/m
# is applied to determine the fragment characteristic length.
#
# Using an independent calculation in Microsoft Excel for Mac (included in this
# testing directory) the packing fraction is determined to be 0.828912 for the
# Coindreau model, 0.831398 for the Walton model, and 0.833519 for the Barani model.
# In layers that have not gained or lost mass the the packing fraction is
# changed to 1.0. In layers that have lost mass the packing fraction is
# recalculated based upon the current mass. The verification of packing fraction in
# the layers that have lost mass is completed in the volume correction test.
#
# Examining the output of the layered_packing_fraction AuxVariable confirms
# the result.
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[layered_packing_fraction]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*100.0/4.275'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '15000 15000'
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 0.5)'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[layered_packing_fraction]
type = AxialRelocationOutputAux
variable = layered_packing_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = PACKING_FRACTION
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12 5 2'
variable = temperature
value = 1200
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
burnup = burnup
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial timestep_end'
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[axial_relocation]
type = AxialRelocationUserObject
block = fuel
direction = y
num_layers = 5
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
execute_on = timestep_end
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 14
dt = 2
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/axisymmetric_centerline_average_value.i)
#
# Mesh has two slices of heights 1 and 9.
# Temperature is set to 10 and 90 on the two slices.
# The average temperature is (10*1 + 90*9)/(1+9) = 82.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '1.0 9.0'
slices_per_block = 2
include_fuel = true
include_plenum = false
include_clad = false
pellet_bottom_coor = 0
pellet_inner_radius = 0.0
pellet_outer_radius = 1.0
elem_type = EDGE2
[]
[]
[Functions]
[temp1]
type = PiecewiseLinear
x = '0 1'
y = '0 10'
[]
[temp2]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[]
[Variables]
[temperature]
initial_condition = 0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[BCs]
[temp1]
type = FunctionDirichletBC
boundary = 10002
variable = temperature
function = temp1
[]
[temp2]
type = FunctionDirichletBC
boundary = 10022
variable = temperature
function = temp2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = fuel
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = fuel
property_name = density
expression = 1.0
[]
[]
[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_abs_tol = 1e-8
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[average_centerline_temperature]
type = LayeredAxisymmetricCenterlineAverageValuePostprocessor
boundary = 12
variable = temperature
execute_on = timestep_end
fuel_pin_geometry = pin_geometry
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = true
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Outputs]
csv = true
[]
(test/tests/mox_pore_velocity/MOXPoreVelocityVaporPressure.i)
# This input files uses the pore difusion kernels
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.1
pellet_outer_radius = 0.0041
include_clad = false
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
[]
[]
[Variables]
[temperature]
initial_condition = 1400.0
[]
[pore]
initial_condition = 0.12
scaling = 1e14
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 50000'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = fuel # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate_aux_variable_mox
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
# nu = 3.25e-8 #seems to be THE value to use... result is super sensitive to this number
# nu = 10e-10
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
# v_upper = 1
# v_lower = 1
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temperature
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
block = fuel
porosity = pore
initial_porosity = 0.12
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0082
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[BCs]
[temp_outside] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = temperature
boundary = 10
value = 1400
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = fuel
temperature = temperature
porosity = pore
porosity_limit = 0.9
[]
[density_block]
type = GenericConstantMaterial
block = fuel
prop_names = density
prop_values = 10431.0
[]
[pore_velocity]
type = MOXPoreVelocityVaporPressure
block = fuel
temperature = temperature
scale_factor = 1e0
# limit = 1e-3
# scale_factor = 0.05 # go back to this if necessary
# scale_factor = 0.1
# oxygen_partial_pressure = PO2
[]
[oxygen_partial_pressure_integral]
type = MOXOxygenPartialPressure
block = fuel
temperature = temperature
o2m_deviation = 0.02
po2_initial = 0.01
outputs = exodus
# type = GenericConstantMaterial
# block = fuel
# prop_names = PO2
# prop_values = 1.0
[]
[Sum]
type = MOXVaporPressure
temperature = temperature
block = fuel
evalerror_behavior = error
outputs = exodus
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
snesmf_reuse_base = false
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-8 #1e-10
n_startup_steps = 1
end_time = 1.5e5
num_steps = 2
dtmax = 1000
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[power_input]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.1 # rod height
[]
[rod_total_power_mox]
type = LayeredElementIntegralPowerPostprocessor
variable = temperature
block = fuel
fission_rate = fission_rate_aux_variable_mox
fuel_pin_geometry = pin_geometry
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temperature
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[center_PO2]
type = ElementalVariableValue
elementid = 0
variable = PO2
[]
[]
# The MOX capabilities are under active development and the blocks below are useful for
# development and debugging by providing the profiles of the desired quantities.
# They are commented out for the tests, as it would unnecessarily increase computational costs
# and memory requirements.
# [VectorPostprocessors]
# [line_value_vector_postprocessor_pore]
# type = LineValueSampler
# variable = pore
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# control_tags = a
# []
# [line_value_vector_postprocessor_pore_speed]
# type = LineValueSampler
# variable = pore_speed_aux
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_temperature]
# type = LineValueSampler
# variable = temperature
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# []
[Outputs]
exodus = true
csv = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
# [stuff_v_rad]
# type = CSV
# execute_on = 'FINAL'
# []
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_1D_sample1.i)
# Sample at +33 mm from the midplane
initial_fuel_density = 11172.82
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.1409
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39137.6 39137.6 43536.4 43536.4 53010.6 53010.6 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1120'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1409
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.961
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/axial_relocation/axial_relocation_volume_correction.i)
# The purpose of this test is to verify the calculation of the internal gas volume
# in the rod when one or more axial layers have crumbled (accommodated
# additional mass) during axial relocation. This internal volume calculation
# takes into account that in crumbled layers the gas volume is intermixed with
# the porous bed of fuel fragments after the eigenstrain is applied to move the
# mesh to within a small residual gap size fo the inside surface of the cladding.
# In addition, in layers that have lost mass the packing fraction is calculated
# based upon the current mass in the layer via:
#
# phi = (m_frac * m_i) / (rho_f * V_c)
#
# where m_frac is the mass fraction in the layer, m_i is the initial mass in
# the layer, rho_f is the fuel density, and V_c is the internal volume of the
# cladding in the layer.
#
# In order to get the internal gas volume correct the volume of the pellet in
# the layers that have crumbled must be scaled by the packing fraction of that
# layer. This test consists of 5 layers and only the middle layer crumbles and
# experiences relocation. At the end of the simulation the inner cladding radius
# is calculated ot be 4.5e-3 + 0.00052 = 5.02e-3 m. Assuming a residual gap of
# 2.0e-6 m the fuel radius in this layer is 5.02e-3 - 2.0e-6 = 5.018e-3m. In all
# other layers the fuel radius remains as the as fabricated fuel radius (4.5e-3 m).
#
# Equal slice heights of 0.1 m are used giving a total pellet volume without the
# correction of:
#
# V_p = (0.1 * pi) * (4 * 4.5e-3^2 + 5.018e-3^2) = 3.335753e-5 m^3
#
# which is the value reported by the pellet_volume1 postprocessor (the postprocessor
# actually reports the negative of this value because of the direction of the normal
# of the pellet exterior). Adding the clad_volume and pellet_volume1 postprocessors
# give the value of postprocessor gas_volume1.
#
# However, the layer with a fuel radius of 5.018e-3 m must be multiplied by the
# packing fraction of 0.828912. In the layer that has lost mass the new packing
# fraction is given by:
#
# phi = (0.968449 * 0.0663592) / (10431.0 * 0.1 * pi * 4.92069e-3^2) = 0.80993
#
# These two corrections give a total pellet volume of:
#
# V_p = (0.1 * pi) * (3 * 4.5e-3^2 + 0.80993 * 4.5e-3^2 + 0.828912 * 5.018e-3^2)
# = 3.079497e-05 m^3
#
# which is verified to be the negative of the value given by postprocessor
# pellet_volume2. Adding the clad_volume and pellet_volum2 postprocessors gives
# the corrected gas volume given by the gas_volume2 postprocessor.
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[outer_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[axial_relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*100.0/4.275'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '15000 15000'
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 0.5)'
[]
[gas_volume2]
type = ParsedFunction
expression = 'clad_volume + pellet_volume2'
symbol_names = 'clad_volume pellet_volume2'
symbol_values = 'clad_volume pellet_volume2'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
eigenstrain_names = 'axial_relocation'
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[outer_fuel_radius]
type = Radius
boundary = 10
variable = outer_fuel_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[axial_relocation_strain]
type = MaterialRealAux
variable = axial_relocation_strain
block = fuel
property = axial_relocation_strain
execute_on = 'nonlinear timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12 5 2'
variable = temperature
value = 1200
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
burnup = burnup
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[axial_relocation_strain]
type = UO2AxialRelocationEigenstrain
block = fuel
axial_relocation_eigenstrain_object = layered_eigenstrain
eigenstrain_name = axial_relocation
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_eigenstrain]
type = LayeredAxialRelocationEigenstrainUserObject
pellet_outer_radius = outer_fuel_radius
axial_relocation_object = axial_relocation
penetration = penetration
direction = y
execute_on = 'initial timestep_end'
boundary = 10
layer_bounding_block = fuel
num_layers = 5
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = timestep_end
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[axial_relocation]
type = AxialRelocationUserObject
block = fuel
direction = y
num_layers = 5
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
execute_on = timestep_end
[]
[pellet_volume1]
type = LayeredInternalVolumePostprocessor
boundary = 10
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[pellet_volume2]
type = LayeredCrumbledInternalVolumePostprocessor
boundary = 10
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
axial_relocation_object = axial_relocation
execute_on = 'initial timestep_end'
[]
[clad_volume]
type = LayeredInternalVolumePostprocessor
boundary = 5
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[gas_volume2]
type = FunctionValuePostprocessor
function = gas_volume2
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 14
dt = 2
[]
[Outputs]
exodus = true
hide = penetration
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_1D_sample1.i)
# Sample at +33 mm from the midplane
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.002675
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39575.6 39575.6 44023.6 44023.6 53603.8 53603.8 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1280.8'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/axial_relocation/uo2_pulverization_phasefield2.i)
# This file is to test the phase-field based pulverization criterion for UO2 fuel
# with evolve_bubble_pressure_hbs = true and using the 3D phase field criterion
# for pulverization.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 673.15 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 125. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. This material property is output to the exodus file for this test.
# At each time step, the porosity in the HBS region is calculated at each radial
# position using the correlation due to Kampf in the UO2Thermal material.
# The porosity, along with the hydrostatic stress, are used to calculate the
# critical pressure for grain boundary fracture using data from fits to phase-field
# fracture simulations. The current pressure of the most likely bubble
# size is compared to the critical pressure to determine whether pulverization has
# occurred at each quadrature point.
# Based upon the conditions and threshold given above at t = 110 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 673.15, 673.15+(t-100)*15.5)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
hbs_model = true
hbs_material = hbs_formation
[]
[uo2pulverizationmesoscale]
type = UO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
pulverization_criterion_type = phase_field_3D
outputs = exodus
[]
[dummy_stress]
type = GenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-1e7 -1e7 -1e7 0 0 0'
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = HighBurnupStructureFormation
block = fuel
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 125
dt = 1
[]
[Outputs]
exodus = true
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_1D_sample1.i)
# Sample at +33 mm from the midplane
initial_fuel_density = 10964.6
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.002675
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.143
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39575.6 39575.6 44023.6 44023.6 53603.8 53603.8 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1294.5'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.143
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.99
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/axial_relocation/uo2_pulverization.i)
# The purpose of this test is to calculate the amount of pulverization in
# a high burnup fuel as part of the axial relocation algorithm. In the test 5
# axial fuel slices are modeled without cladding with an outer fuel radius of 4.5 mm
# and slice height of 0.1 m. Ten radial finite elements are used. The burnup
# increases linearly from the fuel centerline to the fuel surface. The burnup also
# increases as a function of time from 0 to 100 MWd/kgU on the fuel surface over 100 seconds.
#
# The fuel temperature is held constant at 1200 K. And a constant contact pressure
# is applied to the fuel surface of 40 MPa.
#
# The threshold for pulverization is given by an empirical temperature threshold
# as a function of burnup. A local burnup of 71 MWd/kgU is required for pulverization
# to begin. At this burnup the temperature threshold is 1193.15 K. The temperature
# threshold linearly decreases to a value of 913.15 K at 94 MWd/kgU after which
# it is constant.
#
# Based upon the conditions and threshold given above at t = 100 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
#
# Using command line arguments another test is run where the contact pressure is
# changed to 60 MPa which precludes pulverization for the duration of that test.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*t/4.275'
[]
[contact_pressure_function]
type = ConstantFunction
value = 40.0e6
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[contact_pressure]
type = FunctionAux
variable = contact_pressure
boundary = 10
function = contact_pressure_function
execute_on = 'initial timestep_end'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial timestep_end'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12'
variable = temperature
value = 1200
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial timestep_end'
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 100
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/upuzr_fission_gas_release/nonad/exact_1D.i)
# This tests the fission gas produced and released postprocessors
# and for 1d and 2d models with the same volume.
# The reported values should be the same for the
# 1d and 2d cases. See corresponding excel calculation
# in this directory.
[Problem]
solve = false
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
include_clad = false
include_plenum = false
slices_per_block = 1
fuel_height = 3e-3
pellet_outer_radius = 3e-3
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 4
elem_type = EDGE2
[]
[]
[Functions]
[fission_rate_func]
type = PiecewiseLinear
x = '0 1e7'
y = '1e20 1e18'
[]
[porosity_func]
type = PiecewiseLinear
x = '0 1e7'
y = '0.15 0.25'
[]
[]
[Variables]
[temp]
initial_condition = 1700
[]
[]
[Kernels]
[heat]
type = TimeDerivative
variable = temp
[]
[]
[Materials]
[properties]
type = GenericFunctionMaterial
prop_names = 'fission_rate porosity'
prop_values = 'fission_rate_func porosity_func'
outputs = all
[]
[fission_gas_release]
type = UPuZrFissionGasRelease
fractional_yield = 0.3017
critical_porosity = 0.2
use_old_porosity = false
time_average_fission_rate = false
[]
[]
[Executioner]
type = Transient
dt = 1e6
end_time = 1e7
[]
[Postprocessors]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
[]
[gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
fuel_pin_geometry = pin_geometry
[]
[gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
fuel_pin_geometry = pin_geometry
[]
[porosity]
type = ElementAverageValue
variable = porosity
[]
[]
[Outputs]
csv = true
file_base = exact_out
[]
(test/tests/layered_1D/with_liner.i)
#
# Thick cylinder problem where the mesh is split between cladding and liner blocks.
#
# ri = 1.0
# ro = sqrt(2)
# pi = 2.0
# po = 1.0
#
# (ri^2*pi-ro^2*po) (pi-po)*ri^2*ro^2 -2
# sigma_r = ----------------- - ----------------- = -----
# (ro^2-ri^2) (ro^2-ri^2)*r^2 r^2
#
# (ri^2*pi-ro^2*po) (pi-po)*ri^2*ro^2 2
# sigma_t = ----------------- + ----------------- = -----
# (ro^2-ri^2) (ro^2-ri^2)*r^2 r^2
#
# (sigma_t-nu*sigma_r)*r
# disp_r = ----------------------
# E
#
[GlobalParams]
displacements = disp_x
slice_heights = '1.0'
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slices_per_block = '1'
include_fuel = false
include_clad = true
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = '1.0'
clad_gap_width = 0.0
clad_thickness = 0.3
liner_thickness = 0.1142135623730951
clad_mesh_density = customize
nx_liner = 30
elem_type = EDGE3
[]
[]
[Functions]
[clad_inner_pressure]
type = ParsedFunction
expression = 2.0
[]
[clad_outer_pressure]
type = ParsedFunction
expression = 1.0
[]
[]
[BCs]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = 2
factor = 1.0
function = clad_outer_pressure
[]
[interior_pressure_x]
type = Pressure
variable = disp_x
boundary = 5
factor = 1.0
function = clad_inner_pressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
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
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = true
include_fuel = false
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[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 = 0.0
strain = finite
mesh_generator = layered1D_mesh
[]
[liner]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = 'liner'
out_of_plane_pressure_function = 0.0
strain = finite
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'clad liner'
youngs_modulus = 1e6
poissons_ratio = 0.25
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = 'clad liner'
[]
[]
[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
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[max_stress_xx]
type = ElementExtremeValue
variable = stress_xx
[]
[max_stress_zz]
type = ElementExtremeValue
variable = stress_zz
[]
[min_stress_xx]
type = ElementExtremeValue
variable = stress_xx
value_type = min
[]
[min_stress_zz]
type = ElementExtremeValue
variable = stress_zz
value_type = min
[]
[disp_x_inner]
type = NodalVariableValue
nodeid = 0
variable = disp_x
[]
[]
[Outputs]
exodus = true
[]
(test/tests/mox_pore_velocity/MOXPoreVelocity.i)
# This input files uses the pore difusion kernels
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.1
pellet_outer_radius = 0.0041
include_clad = false
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
[]
[]
[Variables]
[temperature]
initial_condition = 1400.0
[]
[pore]
initial_condition = 0.12
scaling = 1e14
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 50000'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = fuel # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate_aux_variable_mox
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
# nu = 3.25e-8 #seems to be THE value to use... result is super sensitive to this number
# nu = 10e-10
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
# v_upper = 1
# v_lower = 1
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temperature
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
block = fuel
porosity = pore
initial_porosity = 0.12
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0082
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[BCs]
[temp_outside] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = temperature
boundary = 10
value = 1400
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = fuel
temperature = temperature
porosity = pore
porosity_limit = 0.9
[]
[density_block]
type = GenericConstantMaterial
block = fuel
prop_names = density
prop_values = 10431.0
[]
[pore_velocity]
type = MOXPoreVelocity
block = fuel
temperature = temperature
limit = 1e-3
# scale_factor = 0.05 # go back to this if necessary
scale_factor = 0.1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[]
[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-8 #1e-10
n_startup_steps = 1
end_time = 1.5e5
num_steps = 2
dtmax = 1000
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[power_input]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.1 # rod height
[]
[rod_total_power_mox]
type = LayeredElementIntegralPowerPostprocessor
variable = temperature
block = fuel
fission_rate = fission_rate_aux_variable_mox
fuel_pin_geometry = pin_geometry
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temperature
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[]
# The MOX capabilities are under active development and the blocks below are useful for
# development and debugging by providing the profiles of the desired quantities.
# They are commented out for the tests, as it would unnecessarily increase computational costs
# and memory requirements.
# [VectorPostprocessors]
# [line_value_vector_postprocessor_pore]
# type = LineValueSampler
# variable = pore
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# control_tags = a
# []
# [line_value_vector_postprocessor_pore_speed]
# type = LineValueSampler
# variable = pore_speed_aux
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_temperature]
# type = LineValueSampler
# variable = temperature
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# []
[Outputs]
exodus = true
csv = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
# [stuff_v_rad]
# type = CSV
# execute_on = 'FINAL'
# []
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_1D_sample2.i)
# Sample at +97mm from midplane
initial_fuel_density = 10964.6
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.002675
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.143
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 36350.6 36350.6 40436.2 40436.2 49235.7 49235.7 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1325.5'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.143
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.99
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.002675 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/layered_1D/side_average_value.i)
#
# Mesh has two slices of heights 1 and 9.
# Temperature is set to 10 and 90 on the two slices.
# The average temperature is (10*1 + 90*9)/(1+9) = 82.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '1.0 9.0'
slices_per_block = 2
include_fuel = false
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE2
[]
[]
[Functions]
[temp1]
type = PiecewiseLinear
x = '0 1'
y = '0 10'
[]
[temp2]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[]
[Variables]
[temp]
initial_condition = 0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[temp1]
type = FunctionDirichletBC
boundary = 10003
variable = temp
function = temp1
[]
[temp2]
type = FunctionDirichletBC
boundary = 10023
variable = temp
function = temp2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = clad
property_name = density
expression = 1.0
[]
[]
[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_abs_tol = 9e-2
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[ave_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temp
execute_on = timestep_end
fuel_pin_geometry = pin_geometry
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
include_fuel = false
include_clad = true
include_plenum = false
pellet_outer_radius = 0.00465
clad_gap_width = 0
clad_thickness = 0.000725
fuel_height = 0.1625
slices_per_block = 10
pellet_bottom_coor = 0.0
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = inner_pressure_func
coolant_pressure = outer_pressure_func
coolant_pressure_scaling_factor = 1
fuel_pin_geometry = pin_geometry
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/Layered1D]
[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
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
group_scalar_vars_in_reference_residual = false
mesh_generator = layered1D_mesh
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[effective_creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
# [inner_temperature]
# type = REBEKADirichletBC
# variable = temperature
# function_tempm = temperature_func
# minimum_temperature = 573.0
# translation = 0.1625
# boundary = 5
# []
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 5
function = inner_pressure_func
[]
[]
[]
# [CoolantChannel]
# [convective_clad_surface]
# boundary = 2
# variable = temperature
# inlet_temperature = 473.
# inlet_pressure = 1.e+05
# inlet_massflux = 1. # kg/m^2-sec # almost stagnant steam
# rod_diameter = 10.75e-03
# rod_pitch = 1.26e-02 # default
# oxide_thickness = scale_thickness
# []
# []
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
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_aux
temperature = temperature
fraction_beta_phase = 'ad_fract_beta_phase'
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[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-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[max_eff_creep_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = effective_creep_strain
[]
[max_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad_slice] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 28 # 1 line element
[]
[inner_pressure_func]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial linear'
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 9 #single line element
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 9 #single line element
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 9 #single line element
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_1pt5_out_chkfile
show = 'ave_clad_exterior_temp max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(test/tests/layered_1D/layered_axial_profile.i)
#
# This test compares the integrated axial profile using the LayeredAxialPowerProfile
# function and the raw axial profile function. The LayeredAxialPowerProfile
# function returns values very close to 1.0 in every case, whereas the raw data may
# not be integrated accurately.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 4.0
plenum_height = 0.2
slices_per_block = 2
pellet_outer_radius = 0.2
clad_gap_width = 0.2
clad_thickness = 0.2
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 2
nx_c = 1
bx_p = 2
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[strain_yy]
[]
[axial_profile]
order = CONSTANT
family = MONOMIAL
[]
[raw_axial_profile]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[disp_x_fuel]
type = ParsedFunction
expression = t*0.01
[]
[zero]
type = ParsedFunction
expression = '0'
[]
[raw_axial_profile]
type = ParsedFunction
expression = 'if(t<=1.0, 1.0,
if(t<=2.0, 1.0+0.05*(y-2.0),
if(t<=3.0, 1.0+0.1*cos(pi/2.0*(y-1.0)),
if(t<=4.0, 1.0+0.01*if(y<3,8*y-15,9.0),
if(t<=5.0, 1.0-0.2*cos(2.5*(y-2.0))+0.5*(y-2.0)+0.04*sin(5.0),
0)))))'
[]
[axial_profile]
type = LayeredAxialPowerProfile
axial_power_profile = raw_axial_profile
fuel_pin_geometry = pin_geometry
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
[]
[]
[AuxKernels]
[strain_yy]
type = FunctionAux
variable = strain_yy
function = zero
[]
[axial_profile]
type = FunctionAux
variable = axial_profile
function = axial_profile
[]
[raw_axial_profile]
type = FunctionAux
variable = raw_axial_profile
function = raw_axial_profile
[]
[]
[BCs]
[zero_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 12
function = zero
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[strain]
type = ComputeAxisymmetric1DIncrementalStrain
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[integrated_axial_profile]
type = LayeredSideAverageValuePostprocessor
boundary = 8
variable = axial_profile
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[integrated_raw_axial_profile]
type = LayeredSideAverageValuePostprocessor
boundary = 8
variable = raw_axial_profile
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 5
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/standard_lwr_outputs_action/mini_complete_rod_1D.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'
[]
[Mesh]
coord_type = RZ
[mesh]
type = Layered1DMeshGenerator
slices_per_block = 2
fuel_height = 0.1
plenum_height = 0.02
pellet_mesh_density = coarse
clad_mesh_density = coarse
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = mesh
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 3
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 2
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[]
[Variables]
[temperature]
initial_condition = 580.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0.000000 10800'
y = '0.000000 16404.200000'
scale_factor = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.00324 3.77797'
y = '0.000000 10800'
z = '1.0 1.0 1.0 1.0'
axis = 1
scale_factor = 1
# type = ParsedFunction
# expression = '1.0'
[]
[pressure_ramp]
type = PiecewiseLinear
scale_factor = 1
x = '0 10800.0'
y = '0.00651 1.0'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[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
[]
[]
[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
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = 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
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = mesh
[]
[]
[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
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 6
num_axial = 2
a_lower = 0.00351
a_upper = 0.02723
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 1
order = CONSTANT
family = MONOMIAL
RPF = RPF
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
factor = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
output_initial_moles = initial_moles
temperature = plenum_temperature ## generated by the standard outputs action
volume = plenum_volume ## generated by the standard outputs action
material_input = fission_gas_released ## generated by the standard outputs action
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
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 = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
gbs_model = false
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
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'
snesmf_reuse_base = false
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = 0
end_time = 10
dtmax = 10
dtmin = 10
[]
[StandardLWRFuelRodOutputs]
fuel_pin_geometry = pin_geometry
layered = true
[]
[Outputs]
exodus = false
color = false
csv = true
perf_graph = true
[]
(test/tests/radial_power_factor/two_blocks.i)
#
# Mesh has two fuel blocks with different inner radii and two Burnup blocks.
# fuel_1_burnup appears on the lower fuel block, and
# fuel_2_burnup appears on the upper fuel block.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
slice_heights = '1.0 1.0'
volumetric_locking_correction = false
temperature = temp
density = 10431.0
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slices_per_block = '1 1'
include_fuel = true
include_clad = true
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = '.0041 .0041'
pellet_inner_radius = '.000 .001'
clad_gap_width = .001
clad_thickness = .001
elem_type = EDGE3
[]
[]
[Functions]
[clad_axial_pressure]
type = ParsedFunction
expression = 2.0
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = 1.0
[]
[power_history]
type = PiecewiseLinear
x = '0 1e4'
y = '0 2.5e4'
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[Burnup]
[lower]
a_lower = '0.0'
a_upper = '1.0'
block = fuel_1
num_radial = 81
num_axial = 3
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
rod_ave_lin_pow = power_history
axial_power_profile = 1
base_name = fuel_1
[]
[upper]
a_lower = '1.0'
a_upper = '2.0'
block = fuel_2
num_radial = 81
num_axial = 3
fuel_inner_radius = 0.001
fuel_outer_radius = 0.0041
fuel_volume_ratio = 1.0
rod_ave_lin_pow = power_history
axial_power_profile = 1
base_name = fuel_2
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[temp_clad_int]
type = DirichletBC
boundary = all_clad_interior
variable = temp
value = 600
[]
[temp_clad_ext]
type = DirichletBC
boundary = clad_outside_right
variable = temp
value = 500
[]
[temp_ext]
type = DirichletBC
boundary = all_pellet_exterior
variable = temp
value = 800
[]
[temp_center]
type = DirichletBC
boundary = pellet_centerline
variable = temp
value = 900
[]
[no_x]
type = DirichletBC
boundary = pellet_centerline
variable = disp_x
value = 0.0
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = true
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel_1]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_1
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
mesh_generator = layered1D_mesh
[]
[fuel_2]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_2
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_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'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'fuel_1 fuel_2'
youngs_modulus = 1e8
poissons_ratio = 0.25
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel_1 fuel_2'
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'fuel_1 fuel_2'
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 293.0
eigenstrain_name = fuelthermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1e6
poissons_ratio = 0.25
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 8e-6
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[heat_fuel]
type = HeatConductionMaterial
block = 'fuel_1 fuel_2'
specific_heat = 1.0
thermal_conductivity = 7000.0
[]
[heat_clad]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'fuel_1 fuel_2'
strain_free_density = 10.0
[]
[density_clad]
type = StrainAdjustedDensity
block = clad
strain_free_density = 1.0
[]
[]
[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_abs_tol = 9e-2
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[ave_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temp
execute_on = timestep_end
fuel_pin_geometry = pin_geometry
[]
[]
[Outputs]
exodus = true
[]
(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'
[]
[]
(test/tests/layered_1D/lower_plenum.i)
#
# This test checks the LayeredInternalVolumePostprocessor Postprocessor and the inclusion
# of a lower plenum.
#
# The mesh is six lines of fuel and eight of cladding. The height of each is
# given in slice_heights.
#
# The slice positions are -1, 1.5, 4.5, 7, 9, 11, 15, 20.
#
# The initial radius of the fuel is 1/sqrt(pi). The
# inner radius of the cladding is sqrt(2/pi). This gives an initial cavity
# volume of 24(pi*2/pi) - 18*pi*1/pi = 30.
#
# A strain of 0.2 in the yy direction is applied to the fuel. This makes the
# fuel volume pi*1/pi*1.2 = 21.6. The cavity volume is then 26.4.
#
# A strain of 0.1 in the yy direction is applied to the upper cladding slice.
# The cladding volume is then 20*pi*2/pi + 4*pi*2/pi*1.1 = 48.8. The cavity volume
# is then 27.2.
#
# Finally, the outer radius of the fuel is displaced sqrt(1.4/1.2/pi)-1/sqrt(pi) giving
# an outer fuel radius position of sqrt(1.4/1.2/pi). The fuel volume becomes
# 18*pi*(1.4/1.2)/pi*1.2 = 25.2. The final cavity volume is 48.8-25.2 = 23.6.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '2.0 3.0 3.0 2.0 2.0 2.0 6.0 4.0'
slices_per_block = '2 3 1'
pellet_bottom_coor = 0
pellet_outer_radius = 0.5641895835477563
clad_gap_width = 0.23369497725510913
clad_thickness = 0.5
pellet_mesh_density = customize
clad_mesh_density = customize
include_lower_plenum = true
nx_p = 2
nx_c = 1
bx_p = 2
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[strain_yy]
[]
[]
[Functions]
[dummy_disp]
type = ParsedFunction
expression = t*0.0801234497346435
[]
[disp_x_fuel]
type = PiecewiseLinear
x = '0 2 3'
y = '0 0 0.04520481573819812'
[]
[strain_yy]
type = ParsedFunction
expression = 'if(x<0.6,
if(t<=1,
t*0.2,
0.2
),
if(y>18.0,
if(t<=1,
0,
if(t<=2,(t-1)*0.1,0.1)
),
0
)
)'
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
[]
[]
[AuxKernels]
[strain_yy]
type = FunctionAux
variable = strain_yy
function = strain_yy
[]
[]
[BCs]
[dummy]
type = FunctionDirichletBC
variable = disp_x
boundary = 2
function = dummy_disp
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[strain]
type = ComputeAxisymmetric1DIncrementalStrain
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 9
execute_on = 'initial timestep_end'
[]
[vol_fuel]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 10
execute_on = 'initial timestep_end'
[]
[vol_clad]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 5
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 3
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/axial_relocation/crumbled_thermal_conductivity.i)
# The purpose of this test is to verify that the thermal conductivity of the fuel
# is properly scaled in regions that have crumbled due to axial relocation. In this
# test at the end of the simulation the middle layer of the 5 (indexed as layer 2)
# has been found to have crumbled (accommodated additional mass). Using the NFIR
# thermal conductivity as the underlying model for the thermal conductivity of the
# fuel which has been verified elsewhere the scaling factor for crumbled fuel is
# calculated.
#
# A constant burnup of 0.07 % FIMA and a constant temperature of 1200 K is applied
# to the fuel. These conditions result in no pulverization of the fuel. For
# simplicity the packing fraction of both fragments and pulvers are set to 0.828912
# To be consistent with the other tests in this directory. The use of a constant
# burnup is to ensure that the thermal conductivity is constant radially. Before
# crumbling the thermal conductivity calculated by the NFIR model is 2.023185.
#
# By examining the thermal_conductivity AuxVariable, and looking at the thermal
# conductivity of the middle layer it is listed as 1.588923 W/m-K. This value
# is obtained by an analytical calculation for the same conditions in the Excel
# spreadsheet included in this directory.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[gas_conductivity]
order = FIRST
family = LAGRANGE
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = '0.07'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '15000 15000'
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 0.5)'
[]
[gas_conductivity_function]
type = ConstantFunction
value = 0.15
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[gas_conductivity]
type = FunctionAux
function = gas_conductivity_function
variable = gas_conductivity
execute_on = 'initial linear'
[]
[th_cond]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
block = fuel
execute_on = 'initial linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12 5 2'
variable = temperature
value = 1200
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
burnup = burnup
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[fuel_thermal_crumbled]
type = UO2Thermal
Gd_content = 0.0
block = fuel
burnup = burnup
initial_porosity = 0.05
thermal_conductivity_model = NFIR # NFIR k for UO2
oxy_to_metal_ratio = 2.0
temperature = temperature
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial timestep_end'
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[axial_relocation]
type = AxialRelocationUserObject
block = fuel
direction = y
num_layers = 5
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
fragment_packing_fraction = 0.828912
pulver_packing_fraction = 0.828912
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
execute_on = timestep_end
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 14
dt = 2
[]
[Outputs]
exodus = true
[]
(examples/pore_migration/paper_solid.i)
[GlobalParams]
displacements = disp_x
temperature = temp
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[gps_uo] # this user object is to provide values for residual and diagonal jacobian in the scalar kernel GeneralizedPlaneStrain
type = GeneralizedPlaneStrainUserObject
out_of_plane_pressure_function = pressure_ramp
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.1
pellet_outer_radius = 0.002675
include_clad = false
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
[]
[]
[Variables]
[temp]
initial_condition = 630
[]
[pore]
initial_condition = 0.15
scaling = 1e14
[]
[disp_x]
scaling = 0.1
[]
[scalar_strain_yy] # define scalar out-of-plane variable
order = FIRST
family = SCALAR
scaling = 100
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 50000'
[]
[fuel_surface_temp]
type = PiecewiseLinear
x = '0 10000'
y = '630 1300'
[]
[pressure_ramp]
type = PiecewiseLinear
x= '0 10000'
y = '200000 400000'
[]
[]
[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
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
[]
[disp_x]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
displacements = disp_x
use_displaced_mesh = true
[]
[gps_off_diag] # to provide off-diagonal jacobian entries for coupled variables with scalar_out_of_plane_strain
type = GeneralizedPlaneStrainOffDiag
variable = disp_x
scalar_out_of_plane_strain = scalar_strain_yy
displacements = disp_x
temperature = temp
eigenstrain_names = eigenstrain
[]
[]
[ScalarKernels]
[gps_diag] # use values calculated in GeneralizedPlaneStrainUserObject to construct residual and diagonal jacobian for scalar_out_of_plane_strain
type = GeneralizedPlaneStrain
variable = scalar_strain_yy
generalized_plane_strain = gps_uo
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate_aux_kernel]
type = FissionRateGeneral
fission_rate_formulation = LWR
variable = fission_rate_aux_variable
block = fuel
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
block = fuel
porosity = pore
initial_porosity = 0.15
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
block = fuel
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
[]
[]
[BCs]
[temp_outside]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = fuel_surface_temp
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[fuelPressure]
boundary = 10
function = pressure_ramp
[]
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = fuel
temperature = temp
porosity = pore
porosity_limit = 0.95
[]
[density_block]
type = GenericConstantMaterial
block = fuel
prop_names = density
prop_values = 10662.0
[]
[pore_velocity]
type = MOXPoreVelocity
block = fuel
temperature = temp
limit = 1e-3
scale_factor = 0.1
[]
[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 = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_strain]
type = ComputeAxisymmetric1DIncrementalStrain
block = fuel
displacements = 'disp_x'
eigenstrain_names = 'fuel_thermal_strain'
scalar_out_of_plane_strain = scalar_strain_yy
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-8#1e-5
nl_abs_tol = 1e-8#1e-6 #1e-8 #1e-10
end_time = 10000
dtmax = 100
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[a_run_time] # average temperature of cladding interior
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[ave_fission_rate]
type = ElementAverageValue
block = fuel
variable = fission_rate_aux_variable
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
block = fuel
fission_rate = fission_rate_aux_variable
fuel_pin_geometry = pin_geometry
[]
[rod_total_power_mox]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
block = fuel
fission_rate = fission_rate_aux_variable_mox
fuel_pin_geometry = pin_geometry
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.1 # rod height
[]
[ave_themal_conductivity]
type = ElementAverageValue
block = fuel
variable = thermal_conductivity
[] # end element average burnup
[]
[VectorPostprocessors]
[Pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.05 0'
end_point = '0.002675 0.05 0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
control_tags = a
[]
[gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.05 0'
end_point = '0.002675 0.05 0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[Pore_Speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.05 0'
end_point = '0.002675 0.05 0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[Temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.05 0'
end_point = '0.002675 0.05 0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[Thermal_Conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.05 0'
end_point = '0.002675 0.05 0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[Fission_Rate]
type = LineValueSampler
variable = fission_rate_aux_variable_mox
start_point = '0.0 0.05 0'
end_point = '0.002675 0.05 0'
num_points = 100
sort_by = x
execute_on = linear
outputs = line_plot
[]
[]
[Outputs]
perf_graph = true
exodus = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
# sync_only = true
# sync_times = '7500 8000 8500 9000 9500 10000'
file_base = 1d
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/layered_1D/layered_plenum_temperature.i)
#
# Mesh contains one fuel and clad slice of height 1 and a plenum
# slice of height 9. The gap between the fuel and clad is set to 1.
# The fuel and clad surface temperature is set to 90.
# The plenum temperature is set to 50.
#
# The layered plenum temperature, which estimates the average temperature in the
# gap is calculated as:
#
# T_p = (50 * 9 * 2 + 90 * 1 * 1) / (9 * 2 + 1 * 1) = 52.10526
#
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = true
fuel_height = 1.0
slices_per_block = 1
include_fuel = true
include_plenum = true
plenum_height = 9.0
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE2
[]
[]
[Functions]
[temp1]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[temp2]
type = PiecewiseLinear
x = '0 1'
y = '0 50'
[]
[]
[Variables]
[temp]
initial_condition = 0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxVariables]
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[]
[BCs]
[temp1]
type = FunctionDirichletBC
boundary = '10002 10003'
variable = temp
function = temp1
[]
[temp2]
type = FunctionDirichletBC
boundary = 10023
variable = temp
function = temp2
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy_0
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = 'fuel clad'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = 'fuel clad'
property_name = density
expression = 1.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_abs_tol = 1e-10
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Outputs]
csv = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/x441_base_1_5D.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'effective_creep_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'effective_creep_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/layered_1D/gap_heat_transfer_htonly.i)
#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a helium-filled gap.
#
# The mesh consists of two element blocks containing one element each. Each
# element is a unit cube. They sit next to one another with a unit between them.
# Quad8 elements are used here.
#
# The conductivity of both blocks is large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit, and then held fixed for an additional
# time unit. The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks, or cylinders in the case of RZ.:
# Note, this uses the cylindrical_gap = true option in the thermal contact block
#
# Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1)))
#
# For pure helium, BISON currently computes the gas conductivity as:
#
# gapK(Tavg) = 2.639e-3*Tavg^0.7085
#
# For the test, the final (t=2) average gas temperature is (200 + 100)/2 = 150,
# giving gapK(150) = 0.09187557
#
# The integrated heat flux across the gap at time 2 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*0.09187557*100/(ln(2/1)) = 83.3 watts
#
# For comparison, see results from the flux post processors.
# The flux is ~ 83.26 on the left and 83.28 on the right.
# The BISON result improves with a finer mesh.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
include_plenum = false
fuel_height = 1.0
slices_per_block = 1
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE3
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 25
nx_c = 25
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[]
[]
[Variables]
[temp]
initial_condition = 100
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[temp_far_left]
type = FunctionDirichletBC
boundary = 12
variable = temp
function = temp
[]
[temp_far_right]
type = DirichletBC
boundary = 2
variable = temp
value = 100
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
roughness_coef = 0
emissivity_primary = 0
emissivity_secondary = 0
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = 'fuel clad'
specific_heat = 1.0
thermal_conductivity = 1.0e6
[]
[density]
type = ParsedMaterial
block = 'fuel clad'
property_name = density
expression = 1.0
[]
[]
[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_abs_tol = 1e-3
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 2e-1
end_time = 2.0
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 10
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_right]
type = SideAverageValue
boundary = 5
variable = temp
execute_on = 'initial timestep_end'
[]
[flux_left]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_right]
type = LayeredSideFluxIntegralPostprocessor
variable = temp
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Outputs]
exodus = true
[]
(test/tests/upuzr_fission_gas_release/ad/exact_1D.i)
# This tests the fission gas produced and released postprocessors
# and for 1d and 2d models with the same volume.
# The reported values should be the same for the
# 1d and 2d cases. See corresponding excel calculation
# in this directory.
[Problem]
solve = false
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
include_clad = false
include_plenum = false
slices_per_block = 1
fuel_height = 3e-3
pellet_outer_radius = 3e-3
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 4
elem_type = EDGE2
[]
[]
[Functions]
[fission_rate_func]
type = PiecewiseLinear
x = '0 1e7'
y = '1e20 1e18'
[]
[porosity_func]
type = PiecewiseLinear
x = '0 1e7'
y = '0.15 0.25'
[]
[]
[Variables]
[temp]
initial_condition = 1700
[]
[]
[Kernels]
[heat]
type = ADTimeDerivative
variable = temp
[]
[]
[Materials]
[ad_properties]
type = ADGenericFunctionMaterial
prop_names = 'fission_rate'
prop_values = 'fission_rate_func'
outputs = all
[]
[properties]
type = ADGenericFunctionMaterial
prop_names = 'porosity'
prop_values = 'porosity_func'
outputs = all
[]
[fission_gas_release]
type = ADUPuZrFissionGasRelease
fission_rate = fission_rate
fractional_yield = 0.3017
critical_porosity = 0.2
use_old_porosity = false
time_average_fission_rate = false
[]
[]
[Executioner]
type = Transient
dt = 1e6
end_time = 1e7
[]
[Postprocessors]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
[]
[gas_produced]
type = ADLayeredElementIntegralFisGasProducePostprocessor
fuel_pin_geometry = pin_geometry
[]
[gas_released]
type = ADLayeredElementIntegralFisGasReleasePostprocessor
fuel_pin_geometry = pin_geometry
[]
[porosity]
type = ElementAverageValue
variable = porosity
[]
[]
[Outputs]
csv = true
file_base = exact_out
[]
(test/tests/axial_relocation/mass_relocation_translated.i)
# The purpose of this test is to verify the internal loops of the AxialRelocationUserObject
# that keeps track of the mass relocation. A linearly varying burnup is applied through
# the radius of 5 axial fuel slices which are modeled with cladding of 0.56 mm with an outer
# fuel radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface but is
# constant in time. The fuel temperature is held constant at 1200 K and a constant
# contact pressure is applied to the fuel surface of 40 MPa.
#
# The above conditions correspond to the conditions used in the regression test
# packing_fraction.i which verified that an effective packing fraction of 0.828912
# is obtained. Using this packing fraction and applying an axially varying displacement
# on the inner cladding surface in the radial direction described by:
#
# disp_x = 2.0e-5 * t * cos(pi * y / 0.5)
#
# the mass relocation loops are verified. At 24 seconds axial relocation begins.
# The updated mass fraction relative to the initial mass calculated by BISON
# is tabulated below for each of the layers (0, 1, 2, 3, 4) for a total of 5 layers
# for the end of the time step at 26 seconds.
#
# Layer Initial Mass Current Mass Mass Fraction
# (-) (kg) (kg) (-)
# 4 0.066299 0.066299 1.0
# 3 0.066299 0.064207 0.96845
# 2 0.066299 0.068391 1.03155
# 1 0.066299 0.066299 1.0
# 0 0.066299 0.066299 1.0
#
# Using an independent calculation in Microsoft Excel for Mac (included in this
# testing directory) the updated mass fractions are verified to match the results
# of the layered_mass_fraction AuxVariable results at the end of the simulation.
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = -0.25
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*100.0/4.275'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '15000 15000'
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * cos(pi * y / 0.5)'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12 5 2'
variable = temperature
value = 1200
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
burnup = burnup
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial timestep_end'
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'initial timestep_end'
layer_bounding_block = fuel
boundary = 5
num_layers = 5
[]
[axial_relocation]
type = AxialRelocationUserObject
block = fuel
direction = y
num_layers = 5
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
execute_on = timestep_end
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 14
dt = 2
[]
[Outputs]
exodus = true
[]
(examples/axial_relocation/layered1D/twin_balloon.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temp
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 36
pellet_outer_radius = 4.5e-3
clad_gap_width = 0.0
clad_thickness = 0.56e-3
fuel_height = 3.6
include_plenum = false
pellet_bottom_coor = 0.0
[]
[]
[Variables]
[temp]
initial_condition = 300.0
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 0.07
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * abs(sin(2*pi * y / 3.6))'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '0 15000'
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[outer_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[axial_relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
strain = finite
block = fuel
eigenstrain_names = 'axial_relocation'
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[layered_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = average_contact_pressure
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = nonlinear
block = fuel
[]
[pulverized]
type = MaterialRealAux
property = pulverized
variable = pulverized
execute_on = timestep_end
block = fuel
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[outer_fuel_radius]
type = Radius
boundary = 10
variable = outer_fuel_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[axial_relocation_strain]
type = MaterialRealAux
variable = axial_relocation_strain
block = fuel
property = axial_relocation_strain
execute_on = 'timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[center]
type = DirichletBC
variable = temp
boundary = 12
value = 300
[]
[clad_inner_surface]
type = DirichletBC
variable = temp
boundary = 5
value = 300
[]
[clad_outer_surface]
type = DirichletBC
variable = temp
boundary = 2
value = 300
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = timestep_end
boundary = 10
num_layers = 36
[]
[layered_eigenstrain]
type = LayeredAxialRelocationEigenstrainUserObject
pellet_outer_radius = outer_fuel_radius
axial_relocation_object = axial_relocation
penetration = penetration
direction = y
execute_on = 'initial nonlinear'
boundary = 10
layer_bounding_block = fuel
num_layers = 36
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial nonlinear'
boundary = 5
layer_bounding_block = fuel
num_layers = 36
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'initial nonlinear'
boundary = 5
layer_bounding_block = fuel
num_layers = 36
[]
[average_outer_fuel_radius]
type = LayeredSideAverage
variable = outer_fuel_radius
direction = y
execute_on = 'initial nonlinear'
boundary = 10
num_layers = 36
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial nonlinear'
block = fuel
num_layers = 36
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
fuel_pin_geometry = pin_geometry
variable = pulverized
direction = y
execute_on = 'initial nonlinear'
block = fuel
num_layers = 36
[]
[axial_relocation]
type = AxialRelocationUserObject
direction = y
num_layers = 36
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = pin_geometry
fragment_packing_fraction = 0.75 # Set to force overall packing fraction to be 0.75
pulver_packing_fraction = 0.75 # Set to force overall packing fraction to be 0.75
pulver_characteristic_length = 0.0001
nonrelocatable_fuel_fraction = 0.01
execute_on = 'initial nonlinear'
[]
[]
[Materials]
[fuel_pulverization]
type = UO2Pulverization
burnup = burnup
block = fuel
temperature = temp
layered_average_contact_pressure = layered_average_contact_pressure
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 3.0
specific_heat = 260.0
[]
[axial_relocation_strain]
type = UO2AxialRelocationEigenstrain
block = fuel
axial_relocation_eigenstrain_object = layered_eigenstrain
eigenstrain_name = axial_relocation
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
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]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.05 0'
end_point = '0 3.55 0'
num_points = 36
sort_by = y
variable = layered_mass_fraction
outputs = mass_fraction
[]
[]
[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'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
dt = 2
start_time = 0.0
end_time = 100
[]
[Outputs]
perf_graph = true
exodus = true
[mass_fraction]
type = CSV
execute_on = 'final'
create_final_symlink = true
[]
[]
(test/tests/layered_1D/element_integral_variable_pp.i)
#
# Mesh has two slices of heights 1 and 9.
# Temperature is set to 10 and 90 on the two slices.
#
# The integral in cylindrical coordinates for the bottom layer given the
# dimensions of the cladding is given by:
#
# int from 2 to 3 of 10 * (2 * pi * r) dr
# = 10 * pi * 3^2 - 10 * pi * 2^2
# = 282.74334 - 125.66371
# = 157.07963
#
# Multiplying by the thickness of the layer (1.0) gives the volume integral of:
# 157.07963
#
# For the top layer the integral is:
# int from 2 to 3 of 90 * (2 * pi * r) dr
# = 90 * pi * 3^2 - 90 * pi * 2^2
# = 2544.69005 - 1130.97336
# = 1413.71669
#
# Multiplying by the thickness of the layer (9.0) gives the volume integral of:
# 12723.45021
#
# Summing the volume integrals for both layers gives a total integral of:
#
# int = 157.07963 + 12723.45021 = 12880.52984
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '1.0 9.0'
slices_per_block = 2
include_fuel = false
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE2
[]
[]
[Functions]
[temperature1]
type = PiecewiseLinear
x = '0 1'
y = '0 10'
[]
[temperature2]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[]
[Variables]
[temperature]
initial_condition = 0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[BCs]
[temp1]
type = FunctionDirichletBC
boundary = 10003
variable = temperature
function = temperature1
[]
[temp2]
type = FunctionDirichletBC
boundary = 10023
variable = temperature
function = temperature2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = clad
property_name = density
expression = 1.0
[]
[]
[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_abs_tol = 1e-6
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[variable_integral]
type = LayeredElementIntegralVariablePostprocessor
fuel_pin_geometry = pin_geometry
variable = temperature
[]
[]
[Outputs]
csv = true
[]
(test/tests/layered_1D/internal_volume.i)
#
# This test checks the LayeredInternalVolumePostprocessor Postprocessor.
# The mesh is one line of fuel and two of cladding. The height of each is
# 1/pi. The initial radius of the fuel is 1. The inner radius of the cladding
# is sqrt(2). This gives an initial cavity volume of 2(pi*2/pi) - pi*1/pi = 3.
#
# A strain of 0.2 in the yy direction is applied to the fuel. This makes the
# fuel volume pi*1/pi*1.2 = 1.2. The cavity volume is then 2.8.
#
# A strain of 0.1 in the yy direction is applied to the upper cladding slice.
# The cladding volume is then pi*2/pi + pi*2/pi*1.1 = 4.2. The cavity volume
# is then 3.0.
#
# Finally, the outer radius of the fuel is displaced sqrt(1.4/1.2)-1 giving
# an outer fuel radius position of sqrt(1.4/1.2). The fuel volume becomes
# pi*(1.4/1.2)/pi*1.2 = 1.4. The final cavity volume is 4.2-1.4 = 2.8.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.3183098861837907 # 1 / pi
plenum_height = 0.3183098861837907 # 1 / pi
slices_per_block = 1
pellet_outer_radius = 1
clad_gap_width = 0.4142135623730950488
clad_thickness = 1
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 2
nx_c = 1
bx_p = 2
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[strain_yy]
[]
[]
[Functions]
[dummy_disp]
type = ParsedFunction
expression = t*0.0801234497346435
[]
[disp_x_fuel]
type = PiecewiseLinear
x = '0 2 3'
y = '0 0 0.0801234497346435'
[]
[strain_yy]
type = ParsedFunction
expression = 'if(x<1.2,
if(t<=1,
t*0.2,
0.2
),
if(y>0.4,
if(t<=1,
0,
if(t<=2,(t-1)*0.1,0.1)
),
0
)
)'
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
[]
[]
[AuxKernels]
[strain_yy]
type = FunctionAux
variable = strain_yy
function = strain_yy
[]
[]
[BCs]
[dummy]
type = FunctionDirichletBC
variable = disp_x
boundary = 2
function = dummy_disp
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[strain]
type = ComputeAxisymmetric1DIncrementalStrain
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 9
execute_on = 'initial timestep_end'
[]
[vol_fuel]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 10
execute_on = 'initial timestep_end'
[]
[vol_clad]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 5
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 3
dt = 1
[]
[Outputs]
exodus = true
[]
(examples/accident_tolerant_fuel/u3si2_sic/u3si2_outer_monolith_1.5D.i)
# Model is of a 10 pellet fuel rodlet modeled in 1.5D. The rodlet contains
# U3Si2 fuel and a multilayer silicon carbide cladding (an inner composite
# winding layer) and an outer monolithic layer. The inner composite layer is
# 0.75 mm thick and the outer monolithic layer is 0.25 mm thick. The internal
# layered1D mesh generator can model a clad an arbitrary number of additional blocks.
# Therefore, to create the multilayer SiC clad the composite layer is assigned to the
# clad block and the monolithic_layer is assigned to the monolithic_layer block
# as specified in the additional_block_names parameter in the Mesh block.
initial_fuel_density = 11590.0
[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]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_mesh_density = customize
clad_thickness = 0.00075
nx_c = 5
additional_block_names = 'monolithic_layer'
additional_elements_per_ring = '3'
additional_ring_thicknesses = '0.00025'
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 monolithic_layer'
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
block = 'clad monolithic_layer'
order = CONSTANT
family = MONOMIAL
[]
[grain_radius]
block = fuel
initial_condition = 10e-6
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[gaseous_swelling]
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 1e4 1e8'
y = '0 25000 25000'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '6.537e-3 1 1'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[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]
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
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
strain = SMALL
incremental = true
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 = 'fuel_thermal_strain fuel_swelling_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[composite]
block = clad
add_variables = true
strain = SMALL
incremental = true
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 = 'composite_thermal_strain composite_swelling_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[monolith]
block = monolithic_layer
add_variables = true
strain = SMALL
incremental = true
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 = 'monolith_thermal_strain monolith_swelling_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx'
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
order = CONSTANT
family = MONOMIAL
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
RPF = RPF
fuel_type = U3Si2
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
block = 'clad monolithic_layer'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
block = 'clad monolithic_layer'
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
block = fuel
[]
[gas_swell]
type = MaterialRealAux
variable = gaseous_swelling
property = gaseous_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
[]
[]
[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
[]
[]
[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]
use_displaced_mesh = false
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]
use_displaced_mesh = false
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 = 10.368e-3 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[flux]
type = FastNeutronFlux
calculate_fluence = true
block = 'clad monolithic_layer'
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
[]
### U3Si2 Fuel
[fuel_thermal]
type = SilicideFuelThermal
block = fuel
thermal_conductivity_model = WHITE
temperature = temperature
[]
[fuel_elasticity_tensor]
type = U3Si2ElasticityTensor
block = fuel
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = fuel
tangent_operator = elastic
inelastic_models = 'fuel_creep'
[]
[fuel_creep]
type = U3Si2CreepUpdate
block = fuel
temperature = temperature
[]
[fuel_thermal_expansion]
type = U3Si2ThermalExpansionEigenstrain
block = fuel
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = U3Si2VolumetricSwellingEigenstrain
block = fuel
gaseous_swelling_type = FINLAY
temperature = temperature
burnup_function = burnup
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = U3Si2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius_const = 2.5e-05
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
### Composite SiC
[composite_thermal]
type = CompositeSiCThermal
thermal_conductivity_model = STONE
temperature = temperature
block = clad
[]
[composite_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 2700.0
[]
[composite_elasticity_tensor]
type = CompositeSiCElasticityTensor
block = clad
[]
[composite_stress]
type = ComputeStrainIncrementBasedStress
block = clad
[]
[composite_thermal_expansion]
type = CompositeSiCThermalExpansionEigenstrain
block = clad
stress_free_temperature = 295.0
temperature = temperature
eigenstrain_name = composite_thermal_strain
[]
[composite_irradiation_swelling]
type = CompositeSiCVolumetricSwellingEigenstrain
block = clad
temperature = temperature
fast_neutron_fluence = fast_neutron_fluence
swelling_model = KATOH
number_of_substeps = 1000
eigenstrain_name = composite_swelling_strain
[]
### Monolithic SiC
[monolith_thermal]
type = MonolithicSiCThermal
temperature = temperature
thermal_conductivity_model = STONE
block = monolithic_layer
[]
[monolith_density]
type = StrainAdjustedDensity
block = monolithic_layer
strain_free_density = 3120.0
[]
[monolith_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = monolithic_layer
[]
[monolith_stress]
type = ComputeMultipleInelasticStress
block = monolithic_layer
tangent_operator = elastic
inelastic_models = 'monolith_creep'
[]
[monolith_creep]
type = MonolithicSiCCreepUpdate
block = monolithic_layer
fast_neutron_flux = fast_neutron_flux
temperature = temperature
k_function = 2e-37
[]
[monolith_thermal_expansion]
type = MonolithicSiCThermalExpansionEigenstrain
block = monolithic_layer
stress_free_temperature = 295.0
temperature = temperature
eigenstrain_name = monolith_thermal_strain
[]
[monolith_irradiation_swelling]
type = CompositeSiCVolumetricSwellingEigenstrain
block = monolithic_layer
temperature = temperature
fast_neutron_fluence = fast_neutron_fluence
swelling_model = KATOH
number_of_substeps = 1000
eigenstrain_name = monolith_swelling_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 = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-7
start_time = -200
n_startup_steps = 1
end_time = 8.0e7
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 25
iteration_window = 5
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'
[]
[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 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
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gaseous_swelling]
type = ElementAverageValue
variable = gaseous_swelling
block = fuel
[]
[densification]
type = ElementAverageValue
variable = densification
block = fuel
[]
[volumetric_swelling]
type = ElementAverageValue
variable = volumetric_swelling_strain
block = fuel
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[]
(test/tests/layered_1D/layered_gas_gap_temperature_userobject.i)
#
# Mesh contains one fuel and clad slice of height 1 and a plenum
# slice of height 8. The gap between the fuel and clad is set to 1.
# The lowest fuel surface temperature is set to 150 and clad surface temperature is set to 90.
# The highest fuel surface temperature is set to 450 and clad surface temperature is set to 90.
# The plenum temperature is set to 50.
#
# The layered gas gap temperature user object, which reqports the average
# temperature in the gap in each layer, reports the average values as follows:
#
# Fuel to cladding layers:
#
# T_lowest_gap = (((155 + 90) / 2) * 1 * 1) / (1 * 1) = 122.5
#
# T_middle_gap = (((160 + 90) / 2) * 1 * 1) / (1 * 1) = 125
#
# T_highest_gap = (((150 + 90) / 2) * 1 * 1) / (1 * 1) = 120
#
# Plenum layer:
#
# T_p = (50 * 7 * 2 + 120 * 1 * 1 + 125 * 1 *1 + 122.5 *1 *1) / (7 * 2 + 1 * 1 + 1 * 1 +1 *1) = 62.79
#
# These values are confirmed by looking at the layered_plenum_temp AuxVariable.
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = true
fuel_height = 3.0
slices_per_block = 3
include_fuel = true
include_plenum = true
include_clad = true
plenum_height = 7.0
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE2
show_info = true
[]
[]
[Functions]
[lower_fuel_temp]
type = PiecewiseLinear
x = '0 1'
y = '0 155'
[]
[middle_fuel_temp]
type = PiecewiseLinear
x = '0 1'
y = '0 160'
[]
[upper_fuel_temp]
type = PiecewiseLinear
x = '0 1'
y = '0 150'
[]
[clad_temp]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[plenum_top_temp]
type = PiecewiseLinear
x = '0 1'
y = '0 50'
[]
[]
[Variables]
[temp]
initial_condition = 0
[]
[]
[AuxVariables]
[layered_gas_gap_temp]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[layered_gas_gap_temp]
type = SpatialUserObjectAux
user_object = layered_gas_gap_temperature
variable = layered_gas_gap_temp
execute_on = 'timestep_end'
[]
[]
[BCs]
[lowest_fuel_layer]
type = FunctionDirichletBC
boundary = '10002'
variable = temp
function = lower_fuel_temp
[]
[lowest_clad_layer]
type = FunctionDirichletBC
boundary = '10003'
variable = temp
function = clad_temp
[]
[middle_fuel_layer]
type = FunctionDirichletBC
boundary = 10022
variable = temp
function = middle_fuel_temp
[]
[middle_clad_layer]
type = FunctionDirichletBC
boundary = 10023
variable = temp
function = clad_temp
[]
[highest_fuel_layer]
type = FunctionDirichletBC
boundary = 10042
variable = temp
function = upper_fuel_temp
[]
[highest_clad_layer]
type = FunctionDirichletBC
boundary = 10043
variable = temp
function = clad_temp
[]
[top_of_clad]
type = FunctionDirichletBC
boundary = 10063
variable = temp
function = plenum_top_temp
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = 'fuel clad'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = 'fuel clad'
property_name = density
expression = 1.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_abs_tol = 1e-10
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_gas_gap_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 3
fuel_pin_geometry = pin_geometry
direction_min = 0
direction_max = 3
gap_temp = gap_value
variable = temp
boundary = '5'
distance = pt_distance
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Postprocessors]
[fuel_temp_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[fuel_temp_min]
type = NodalExtremeValue
block = fuel
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[clad_temp_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[clad_temp_min]
type = NodalExtremeValue
block = clad
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[gas_gap_temp_max]
type = ElementExtremeValue
variable = layered_gas_gap_temp
proxy_variable = temp
value_type = max
execute_on = 'initial timestep_end'
[]
[gas_gap_temp_min]
type = ElementExtremeValue
variable = layered_gas_gap_temp
proxy_variable = temp
value_type = min
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
[]
(test/tests/element_integral_power/fission_gas_sifgrs_1D.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a RZ cylinder
# having an inner radius of 0.01 m, outer radius of 0.0114818 m and height of 0.01 m.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * Pi*(0.0114818^2 - 0.01^2) * 0.01
# = 100
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.01
include_clad = false
include_plenum = false
slices_per_block = 1
pellet_bottom_coor = 0
pellet_outer_radius = 0.011481768
pellet_inner_radius = 0.01
clad_gap_width = 0
clad_thickness = 0
elem_type = EDGE2
pellet_mesh_density = customize
nx_p = 1
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[temp]
initial_condition = 500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 3.125e18
fission_rate_function = unity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[left_T]
type = DirichletBC
variable = temp
boundary = 13
value = 500.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = fuel
property_name = density
expression = 10000
[]
[fission_gas_release]
type = UO2Sifgrs
temperature = temp
fission_rate = fission_rate
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 2
dt = 1.0e6
nl_abs_tol = 1e-8
[]
[Postprocessors]
[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
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/layered_integral.i)
#
# Mesh has two slices of heights 1 and 9.
# Temperature is set to 10 and 90 on the two slices.
#
# The integral in cylindrical coordinates for the bottom layer given the
# dimensions of the cladding is given by:
#
# int from 2 to 3 of 10 * (2 * pi * r) dr
# = 10 * pi * 3^2 - 10 * pi * 2^2
# = 282.74334 - 125.66371
# = 157.07963
#
# Multiplying by the thickness of the layer (1.0) gives the volume integral of:
# 157.07963
#
# For the top layer the integral is:
# int from 2 to 3 of 90 * (2 * pi * r) dr
# = 90 * pi * 3^2 - 90 * pi * 2^2
# = 2544.69005 - 1130.97336
# = 1413.71669
#
# Multiplying by the thickness of the layer (9.0) gives the volume integral of:
# 12723.45021
#
# These values are obtained by looking at the layered_temperature_sum AuxVariable.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slice_heights = '1.0 9.0'
slices_per_block = 2
include_fuel = false
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = 1.0
clad_gap_width = 1.0
clad_thickness = 1.0
elem_type = EDGE2
[]
[]
[AuxVariables]
[layered_temperature_sum]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp1]
type = PiecewiseLinear
x = '0 1'
y = '0 10'
[]
[temp2]
type = PiecewiseLinear
x = '0 1'
y = '0 90'
[]
[]
[Variables]
[temp]
initial_condition = 0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[layered_temperature_sum]
type = SpatialUserObjectAux
variable = layered_temperature_sum
execute_on = timestep_end
block = clad
user_object = temperature_sum
[]
[]
[BCs]
[temp1]
type = FunctionDirichletBC
boundary = 10003
variable = temp
function = temp1
[]
[temp2]
type = FunctionDirichletBC
boundary = 10023
variable = temp
function = temp2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = ParsedMaterial
block = clad
property_name = density
expression = 1.0
[]
[]
[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_abs_tol = 9e-2
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[temperature_sum]
type = LayeredVariableIntegral
block = clad
variable = temp
execute_on = timestep_end
direction = y
num_layers = 2
fuel_pin_geometry = pin_geometry
[]
[]
[Outputs]
exodus = true
[]
(test/tests/mox_pore_velocity/MOXActinide.i)
# This input files uses the actinide redistribution kernels coupled with pore diffusion
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.1
pellet_outer_radius = 0.0041
include_clad = false
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
[]
[]
[Variables]
[temperature]
initial_condition = 1400.0
[]
[pore]
initial_condition = 0.12
scaling = 1e14
[]
[actinide]
initial_condition = 20
scaling = 1e8
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
x = '0 10000'
y = '0 50000'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = fuel # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate_aux_variable_mox
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
# nu = 3.25e-8 #seems to be THE value to use... result is super sensitive to this number
# nu = 10e-10
nu = 1e-12
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
# v_upper = 1
# v_lower = 1
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temperature
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
[]
[actinide_redistribution]
type = MOXActinideRedistribution
variable = actinide
debug = 0
temperature = temperature
scale_factor = 0.5
v_upper = 0
v_lower = 0
heating_function = power_history1
[]
[actinide_redistribution_enhancement]
type = MOXActinideRedistributionEnhancement
variable = actinide
debug = 0
temperature = temperature
pore = pore
pore_diameter = 1e-10
pore_thickness = 1e-11
scaling_parameter_A = 0.35
scale_factor = 0.5
v_upper = 0
v_lower = 0
heating_function = power_history1
[]
[actinide_time_derivative]
type = CoefTimeDerivative
variable = actinide
Coefficient = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
block = fuel
porosity = pore
initial_porosity = 0.12
rod_ave_lin_pow = power_history1
pellet_diameter = 0.0082
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[BCs]
[temp_outside] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = temperature
boundary = 10
value = 1400
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
block = fuel
temperature = temperature
porosity = pore
[]
[density_block]
type = GenericConstantMaterial
block = fuel
prop_names = density
prop_values = 10431.0
[]
[pore_velocity]
type = MOXPoreVelocity
block = fuel
temperature = temperature
limit = 1e-3
# scale_factor = 0.05 # go back to this if necessary
scale_factor = 0.1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temperature
[]
[]
[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-8 #1e-10
n_startup_steps = 1
end_time = 8e4
num_steps = 2
dtmax = 1000
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 8
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[_dt] # time step
type = TimestepSize
[]
[z_nonlinear_its] # number of nonlinear iterations at each timestep
type = NumNonlinearIterations
[]
[power_input]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.1 # rod height
[]
[rod_total_power_mox]
type = LayeredElementIntegralPowerPostprocessor
variable = temperature
block = fuel
fission_rate = fission_rate_aux_variable_mox
fuel_pin_geometry = pin_geometry
[]
[ave_fuel_temp]
type = ElementAverageValue
block = fuel
variable = temperature
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[max_actinide]
type = NodalExtremeValue
variable = actinide
block = fuel
execute_on = 'initial timestep_end'
[]
[min_actinide]
type = NodalExtremeValue
variable = actinide
block = fuel
value_type = min
execute_on = 'initial timestep_end'
[]
[average_actinide]
type = AverageNodalVariableValue
variable = actinide
block = fuel
execute_on = 'initial timestep_end'
[]
[]
# The MOX capabilities are under active development and the blocks below are useful for
# development and debugging by providing the profiles of the desired quantities.
# They are commented out for the tests, as it would unnecessarily increase computational costs
# and memory requirements.
# [VectorPostprocessors]
# [line_value_vector_postprocessor_pore]
# type = LineValueSampler
# variable = pore
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# control_tags = a
# []
# [line_value_vector_postprocessor_pore_speed]
# type = LineValueSampler
# variable = pore_speed_aux
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_temperature]
# type = LineValueSampler
# variable = temperature
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# [line_value_vector_postprocessor_actinide]
# type = LineValueSampler
# variable = actinide
# start_point = '0.0 0.05 0'
# end_point = '0.0041 0.05 0'
# num_points = 100
# sort_by = x
# execute_on = linear
# outputs = stuff_v_rad
# []
# []
[Outputs]
exodus = true
csv = false
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
# [stuff_v_rad]
# type = CSV
# execute_on = 'FINAL'
# []
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_F/x441_1_5D_F.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/fuelrodlinevaluesampler/chk_layered1D_mesh.i)
#
# Thick cylinder problem where the mesh is split between cladding and coating blocks.
#
# ri = 1.0
# ro = sqrt(2)
# pi = 2.0
# po = 1.0
#
# (ri^2*pi-ro^2*po) (pi-po)*ri^2*ro^2 -2
# sigma_r = ----------------- - ----------------- = -----
# (ro^2-ri^2) (ro^2-ri^2)*r^2 r^2
#
# (ri^2*pi-ro^2*po) (pi-po)*ri^2*ro^2 2
# sigma_t = ----------------- + ----------------- = -----
# (ro^2-ri^2) (ro^2-ri^2)*r^2 r^2
#
# (sigma_t-nu*sigma_r)*r
# disp_r = ----------------------
# E
#
[GlobalParams]
displacements = disp_x
slice_heights = '1.0'
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slices_per_block = '1'
include_fuel = false
include_clad = true
include_plenum = false
pellet_bottom_coor = 0
pellet_outer_radius = '1.0'
clad_gap_width = 0.0
clad_thickness = 0.3
pellet_mesh_density = customize
clad_mesh_density = customize
nx_c = 300
elem_type = EDGE3
[]
[]
[Functions]
[clad_inner_pressure]
type = ParsedFunction
expression = 2.0
[]
[clad_outer_pressure]
type = ParsedFunction
expression = 1.0
[]
[]
[BCs]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = 2
factor = 1.0
function = clad_outer_pressure
[]
[interior_pressure_x]
type = Pressure
variable = disp_x
boundary = 5
factor = 1.0
function = clad_inner_pressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
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
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = true
include_fuel = false
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[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 = 0.0
strain = finite
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'clad'
youngs_modulus = 1e6
poissons_ratio = 0.25
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = 'clad'
[]
[]
[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
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[max_stress_xx]
type = ElementExtremeValue
variable = stress_xx
[]
[max_stress_zz]
type = ElementExtremeValue
variable = stress_zz
[]
[min_stress_xx]
type = ElementExtremeValue
variable = stress_xx
value_type = min
[]
[min_stress_zz]
type = ElementExtremeValue
variable = stress_zz
value_type = min
[]
[disp_x_inner]
type = NodalVariableValue
nodeid = 0
variable = disp_x
[]
[]
[VectorPostprocessors]
[clad_stress_xx]
type = FuelRodLineValueSampler
variable = stress_xx
material = 'clad'
fraction = 0.5
num_points = 10
orientation = 'horizontal'
fuel_pin_geometry = 'pin_geometry'
outputs = chkfile
[]
[]
[Outputs]
exodus = true
csv = true
[chkfile]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3_noAm.i)
# Sample at midplane
initial_fuel_density = 11026.4
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[oxygen]
[]
[fission_rate]
[]
[burnup]
[]
[oxygen_to_metal_ratio]
order = CONSTANT
family = MONOMIAL
initial_condition = 1.982
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39456.16 39456.16 43890.71 43890.71 53442.06 53442.06 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1148'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = 0.1372
block = fuel
Am_content = 0.0
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[oxygen_partial_pressure_integral]
type = MOXOxygenPartialPressure
block = fuel
temperature = temp
o2m_deviation = 0.02
po2_initial = 0.01
outputs = exodus
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_rel_tol = 1e-05
fixed_point_abs_tol = 1e-05
fixed_point_max_its = 1
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_ox]
type = ElementAverageValue
variable = oxygen
[]
[max_ox]
type = NodalExtremeValue
value_type = max
variable = oxygen
[]
[min_ox]
type = NodalExtremeValue
value_type = min
variable = oxygen
[]
[ave_om_ratio]
type = ElementAverageValue
variable = oxygen_to_metal_ratio
[]
[max_om_ratio]
type = ElementExtremeValue
value_type = max
variable = oxygen_to_metal_ratio
[]
[min_om_ratio]
type = ElementExtremeValue
value_type = min
variable = oxygen_to_metal_ratio
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior ave_om_ratio'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions = '0 0.005 0'
input_files = b14_ptm001_1D_sample3_ox_noAm.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppCopyTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[ox_from_sub]
type = MultiAppCopyTransfer
from_multi_app = sub
source_variable = oxygen
variable = oxygen
[]
[ox_to_met_from_sub]
type = MultiAppCopyTransfer
from_multi_app = sub
source_variable = oxygen_to_metal_ratio
variable = oxygen_to_metal_ratio
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_E/x441_1_5D_E.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/axial_relocation/mass_relocation.i)
# The purpose of this test is to verify the internal loops of the AxialRelocationUserObject
# that keeps track of the mass relocation. A linearly varying burnup is applied through
# the radius of 5 axial fuel slices which are modeled with cladding of 0.56 mm with an outer
# fuel radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface but is
# constant in time. The fuel temperature is held constant at 1200 K and a constant
# contact pressure is applied to the fuel surface of 40 MPa.
#
# The above conditions correspond to the conditions used in the regression test
# packing_fraction.i which verified that an effective packing fraction of 0.828912
# is obtained. Using this packing fraction and applying an axially varying displacement
# on the inner cladding surface in the radial direction described by:
#
# disp_x = 2.0e-5 * t * sin(pi * y / 0.5)
#
# the mass relocation loops are verified. At 24 seconds axial relocation begins.
# The updated mass fraction relative to the initial mass calculated by BISON
# is tabulated below for each of the layers (0, 1, 2, 3, 4) for a total of 5 layers
# for the end of the time step at 26 seconds.
#
# Layer Initial Mass Current Mass Mass Fraction
# (-) (kg) (kg) (-)
# 4 0.066299 0.066299 1.0
# 3 0.066299 0.064207 0.96845
# 2 0.066299 0.068391 1.03155
# 1 0.066299 0.066299 1.0
# 0 0.066299 0.066299 1.0
#
# Using an independent calculation in Microsoft Excel for Mac (included in this
# testing directory) the updated mass fractions are verified to match the results
# of the layered_mass_fraction AuxVariable results at the end of the simulation.
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*100.0/4.275'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '15000 15000'
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 0.5)'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12 5 2'
variable = temperature
value = 1200
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
burnup = burnup
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial timestep_end'
boundary = 10
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = 0.0
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[axial_relocation]
type = AxialRelocationUserObject
direction = y
block = fuel
num_layers = 5
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
execute_on = timestep_end
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 14
dt = 2
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/RIA_CABRI_REP_Na/analysis/REP_Na_2/REP_Na_2_1pt5.i)
# REP Na 2 Base Irradiation 1.5D layered simulation
# Uses information from the base irradiation and base file to make a complete input file
!include ../REP_Na_Base_Irradiation.i
!include ../REP_Na_Base.i
id = REP_Na_2_1pt5
clad_block_name = clad
fuel_block_name = fuel
# GlobalParams options
displacements_option = disp_x
# Mesh parameters
clad_thickness = 0.000637 # m
pellet_outer_radius = 0.0040248 # m
fuel_height = 1.00706 # m
plenum_height = 0.044077 # m
clad_gap_width = 93.0e-6 # m
pellet_bottom_coor = 0.0045 # m
slices_per_block = 10
# Fuel material properties
initial_fuel_density = 10344.71 # kg/m^3
total_densification = 0.00676 # (-)
initial_fuel_porosity = 0.057 # (-)
fuel_youngs_modulus = 2.0e11 # Pa
fuel_poissons_ratio = 0.345 # (-)
# Cladding material properties
max_inelastic_increment = 5.0e-3 # (-)
# Cladding geometry
clad_inner_radius = 0.0041178 # m
clad_outer_radius = 0.0047549 # m
# Rod geometry
BU_num_axial = 85
a_upper = 1.0115592 # m
fuel_outer_radius = 0.0040248 # m
fuel_diameter = 0.0080496 # m
diametral_gap = 186.0e-6 # m
rod_power_scale_factor = 1.05114 # m (rod height)
# Isotope fractions
isotope_fraction_U235 = 0.0685
isotope_fraction_U238 = 0.9315
# Relocation
burnup_relocation_stop = 0.024 # FIMA
# Coolant pressure and temperature ramp parameters
pressure_ramp_xy_data = '0 101325
8640 13999808
57067200 13999808
57110400 101325
57542410 101325
57542450 500008
57542700 500008
57542800 101325
57542900 101325'
temperature_ramp_xy_data = '0 293.15
8640 543.15
57067200 543.15
57110400 293.15
57542410 293.15
57542450 553.15
57542700 553.15
57542800 293.15
57542900 293.15'
# Plenum parameters
initial_plenum_pressure = 1.70e6 # Pa
refab_time = 57456000 # s
refab_pressure = 0.1e6 # Pa
refab_volume = 2.3e-6 # m^3
# Coolant channel parameters
inlet_massflux = 1779 # kg/m^2-sec
rod_diameter = 0.0095096 # m
rod_pitch = 1.265e-2 # m
# Contact
normalize_contact_penalty_option = true
contact_penalty = 1e14 # (-)
# BC parameters
coolantPressure_boundary = 2
convective_clad_surface_boundary = 2
PP_temperature = ave_temperature_interior
PP_volume = gas_volume
# Eigenstrain names
fuel_volumetric_swelling_eigenstrain_name = fuel_volumetric_strain
fuel_thermal_expansion_eigenstrain_name = fuel_thermal_strain
fuel_relocation_eigenstrain_name = fuel_relocation_strain
clad_irradiation_swelling_eigenstrain_name = clad_irradiation_strain
clad_thermal_expansion_eigenstrain_name = clad_thermal_eigenstrain
# Materials parameters
fuel_elasticity_tensor_type = ComputeIsotropicElasticityTensor
# Numerical options
damper_max_temperature_increment = 10.0 # K
nl_abs_tol = 1e-8
end_time = 57542400 # s
time_t = '57542410 57542420 57542430 57542440 57542450 57542460 57542470 57542480 57542500 57542500.01 57542500.02 57542500.03 57542500.04 57542500.05 57542500.06 57542500.07'
time_dt = '10 10 10 10 10 10 10 10 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001'
TimeStepper_optimal_iterations = 10
TimeStepper_max_function_change = 1e5
# Postprocessor parameters
fis_gas_grain_type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
fis_gas_boundary_type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
penetration_nodeid = 295 # (0.0040248, 0.558383, 0)
contact_pressure_nodeid = 295 # (0.0040248, 0.558383, 0)
fuel_centerline_temperature_nodeid = 264 # (0, 0.558383, 0)
fuel_surface_temperature_nodeid = 295 # (0.0040248, 0.558383, 0)
clad_inner_surface_temperature_nodeid = 45 # (0.0041178, 0.558383, 0)
clad_outer_surface_temperature_nodeid = 52 # (0.0047548, 0.558383, 0)
# Outputs options
color_option = false
chkfile_show = 'ave_temperature_interior fission_gas_released fuel_centerline_temperature average_burnup'
sync_times = '57542400 57542900'
# Data file pathways
power_history_data_file = 'REP_Na_2/REPNa2_power_history_Full.csv'
axial_peaking_data_file = 'REP_Na_2/REPNa2_axial_peaking_Full.csv'
[Mesh]
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${fuel_height}
plenum_height = ${plenum_height}
clad_gap_width = ${clad_gap_width}
pellet_bottom_coor = ${pellet_bottom_coor}
slices_per_block = ${slices_per_block}
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[AuxVariables]
[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
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
fuel_pin_geometry = pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics/SolidMechanics/Layered1D]
[pellets]
block = ${fuel_block_name}
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'hoop_stress axial_stress vonmises_stress'
mesh_generator = layered1D_mesh
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
[]
[clad]
block = ${clad_block_name}
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'hoop_stress axial_stress vonmises_stress'
mesh_generator = layered1D_mesh
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
[]
[]
[Burnup]
[burnup]
density = ${initial_fuel_density}
[]
[]
[AuxKernels]
[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_block_name}
[]
[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_block_name}
[]
[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_block_name}
[]
[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_block_name}
[]
[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_block_name}
[]
[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_block_name}
[]
[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_block_name}
[]
[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_block_name}
[]
[]
[Materials]
[fuel_elasticity_tensor]
youngs_modulus = ${fuel_youngs_modulus}
poissons_ratio = ${fuel_poissons_ratio}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = ${damper_max_temperature_increment}
variable = temperature
[]
[]
[Postprocessors]
[ave_temperature_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
[]
[avg_clad_temperature] # average temperature of cladding interior
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[min_fuel_temperature]
type = NodalExtremeValue
block = ${fuel_block_name}
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temperature]
type = NodalExtremeValue
block = ${clad_block_name}
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_generated]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = ${fuel_block_name}
fuel_pin_geometry = pin_geometry
[]
[fission_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = ${fuel_block_name}
fuel_pin_geometry = pin_geometry
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fis_gas_generated
[]
[fis_gas_grain]
fuel_pin_geometry = pin_geometry
[]
[fis_gas_boundary]
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
execute_on = 'initial linear'
[]
[pellet_volume]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[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]
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[flux_from_fuel]
type = LayeredSideFluxIntegralPostprocessor
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
fuel_pin_geometry = pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[rod_input_power]
scale_factor = ${rod_power_scale_factor}
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = ${fuel_block_name}
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = ${clad_block_name}
variable = vonmises_stress
[]
## Nodal values
[max_fuel_temperature]
execute_on = 'initial timestep_end'
[]
[max_clad_temperature]
execute_on = 'initial timestep_end'
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_diameter'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_pellet_diameter'
[]
[]
[Outputs]
time_step_interval = 1
#exodus = true
[outfile_clad_diameter]
type = CSV
file_base = '${id}_clad_diameter_csv'
#execute_on = 'FINAL'
sync_times = ${sync_times}
sync_only = true
[]
[outfile_pellet_diameter]
type = CSV
file_base = '${id}_pellet_diameter_csv'
#execute_on = 'FINAL'
sync_times = ${sync_times}
sync_only = true
[]
[outfile_oxide_thickness]
type = CSV
file_base = '${id}_oxide_thickness_csv'
#execute_on = 'FINAL'
sync_times = ${sync_times}
sync_only = true
[]
[]
(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'
[]
[]
(test/tests/axial_relocation/ad_uo2_pulverization_phasefield.i)
# This file is to test the phase-field based pulverization criterion for UO2 fuel
# with evolve_bubble_pressure_hbs = false and using the 2D phase field criterion
# for pulverization.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 673.15 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 110. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. This material property is output to the exodus file for this test.
# At each time step, the porosity in the HBS region is calculated at each radial
# position using the correlation due to Kampf in the UO2Thermal material.
# The porosity, along with the hydrostatic stress, are used to calculate the
# critical pressure for grain boundary fracture using data from fits to phase-field
# fracture simulations. The current pressure of the most likely bubble
# size is compared to the critical pressure to determine whether pulverization has
# occurred at each quadrature point.
# Based upon the conditions and threshold given above at t = 110 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 673.15, 673.15+(t-100)*15.5)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = ADMaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = ADUO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
hbs_model = true
hbs_material = hbs_formation
evolve_bubble_pressure_hbs = false
[]
[uo2pulverizationmesoscale]
type = ADUO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
pulverization_criterion_type = phase_field_2D
outputs = exodus
[]
[dummy_stress]
type = ADGenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-1e7 -1e7 -1e7 0 0 0'
[]
[fuel_thermal]
type = ADUO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = ADHighBurnupStructureFormation
block = fuel
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = Newton
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 110
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/fission_gas_1d/fgr_1d.i)
#This tests the fission gas produced and released postprocessors
#and for 1d and 2d models with the same volume.
#The reported values should be the same for the
#1d and 2d cases. See corresponding excel calculation
#in this directory.
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
include_clad = false
include_plenum = false
slices_per_block = 1
fuel_height = 3e-3
pellet_outer_radius = 3e-3
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 4
elem_type = EDGE2
[]
[]
[Functions]
[Temp_func]
type = ParsedFunction
expression = '1700'
[]
[Fiss_func]
type = ParsedFunction
expression = '2.5e19'
[]
[Porosity_func]
type = PiecewiseLinear
x = '0 1e7'
y = '0.15 0.241'
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1700
[]
[]
[AuxVariables]
[porosity_material_aux]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[porosity_material_aux]
type = MaterialRealAux
variable = porosity_material_aux
property = porosity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[temp_bc]
type = FunctionDirichletBC
variable = temp
function = Temp_func
boundary = 10
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = 'fission_rate thermal_conductivity porosity'
prop_values = 'Fiss_func 5 Porosity_func'
outputs = all
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
fission_rate = fission_rate
fractional_yield = 0.3017
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
l_tol = 1e-4
nl_abs_tol = 1e-5
nl_rel_tol = 1e-5
start_time = 0.0
dt = 5e6
end_time = 1e7
[]
[Postprocessors]
[gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
fuel_pin_geometry = pin_geometry
[]
[gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
fuel_pin_geometry = pin_geometry
[]
[porosity]
type = ElementAverageValue
variable = porosity_material_aux
[]
[]
[Outputs]
[csv]
type = CSV
execute_on = final
file_base = fgr_1d_out
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_B/x441_1_5D_B.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/layered_1D/multi_block.i)
#
# Mesh has three fuel blocks with different inner radii and numbers of slices.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
slice_heights = '3.0 3.0 2.0 2.0 2.0 6.0 4.0'
volumetric_locking_correction = false
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slices_per_block = '2 3 1'
pellet_bottom_coor = 0
pellet_outer_radius = '.004 .004 .0045'
pellet_inner_radius = '.001 .0 .0015'
clad_gap_width = .001
clad_thickness = .001
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 1
nx_c = 1
elem_type = EDGE2
[]
[]
[Functions]
[clad_axial_pressure]
type = ParsedFunction
expression = 2.0
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = 1.0
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[]
[BCs]
[temp_clad_int]
type = DirichletBC
boundary = all_clad_interior
variable = temp
value = 600
[]
[temp_clad_ext]
type = DirichletBC
boundary = clad_outside_right
variable = temp
value = 500
[]
[temp_ext]
type = DirichletBC
boundary = all_pellet_exterior
variable = temp
value = 800
[]
[temp_center]
type = DirichletBC
boundary = pellet_centerline
variable = temp
value = 900
[]
[no_x]
type = DirichletBC
boundary = pellet_centerline
variable = disp_x
value = 0.0
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = true
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel_1]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_1
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[fuel_2]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_2
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[fuel_3]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_3
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
extra_vector_tags = 'ref'
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'
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'fuel_1 fuel_2 fuel_3'
youngs_modulus = 1e8
poissons_ratio = 0.25
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel_1 fuel_2 fuel_3'
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'fuel_1 fuel_2 fuel_3'
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 293.0
eigenstrain_name = fuelthermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1e6
poissons_ratio = 0.25
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 8e-6
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[heat_fuel]
type = HeatConductionMaterial
block = 'fuel_1 fuel_2 fuel_3'
specific_heat = 1.0
thermal_conductivity = 7000.0
[]
[heat_clad]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'fuel_1 fuel_2 fuel_3'
strain_free_density = 10.0
[]
[density_clad]
type = StrainAdjustedDensity
block = clad
strain_free_density = 1.0
[]
[]
[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_abs_tol = 9e-2
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[ave_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temp
execute_on = timestep_end
fuel_pin_geometry = pin_geometry
[]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 9
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[vol_fuel]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 8
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[vol_clad]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 5
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_C/x441_1_5D_C.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/axial_relocation/axial_relocation_eigenstrain.i)
# The purpose of this test is to verify the calculation of the eigenstrain
# applied to the fuel in the event that an axial layer has crumbled (accommodated
# additional mass) during axial relocation in Layered 1D. This eigenstrain is used
# to move the outer radius of the fuel to within a small residual gap size of the
# inside surface of the cladding.
#
# The eigenstrain is calculated as:
#
# epsilon = ln(1.0 + (R_fcurr + g_width - R_fo - g^r) / R_fo)
#
# where R_fcurr is the current outer radius of the pellet in the layer,
# g_width is the current fuel-to-clad gap width, g^r is the residual gap size
# (default of 2.0e-6 m), and R_fo is the fuel radius at the time the fuel begins
# to move to that layer. In this test case since there is no thermal expansion
# or other radial displacements of the fuel, R_fo is the as-fabricated fuel radius.
#
# In this test crumbling of the middle layer of 5 (layer 2 since indexing of
# the layers begins at zero) occurs at the end of the simulation. Since only this
# layer is deemed crumbled it is only this layer to which the eigenstrain is applied.
# At this time the inner cladding radius is calculated to be 4.5e-3 + 0.00052 =
# 5.02e-3 m. Therefore, the axial relocation eigenstrain is calculated to be:
#
# epsilon = ln(1.0 + (5.02e-3 - 4.5e-3 - 2.0e-6) / 4.5e-3)
#
# epsilon = 0.108954
#
# This is verified by checking the value of the axial_relocation_strain column in the
# outputs vector postprocessor.
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temperature
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
fuel_height = 0.5
include_plenum = false
nx_p = 10
clad_gap_width = 0.0
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 1200
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[layered_packing_fraction]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_clad_internal_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_gap_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[outer_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[axial_relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*100.0/4.275'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '15000 15000'
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 0.5)'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = fuel
eigenstrain_names = 'axial_relocation'
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = layered_average_contact_pressure
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[layered_average_burnup]
type = SpatialUserObjectAux
variable = layered_average_burnup
execute_on = timestep_end
block = fuel
user_object = layered_average_burnup
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[layered_packing_fraction]
type = AxialRelocationOutputAux
variable = layered_packing_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = PACKING_FRACTION
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[outer_fuel_radius]
type = Radius
boundary = 10
variable = outer_fuel_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[layered_clad_internal_volume]
type = SpatialUserObjectAux
variable = layered_clad_internal_volume
execute_on = timestep_end
block = fuel
user_object = layered_clad_internal_volume
[]
[layered_average_gap_conductivity]
type = SpatialUserObjectAux
variable = layered_average_gap_conductivity
execute_on = timestep_end
block = fuel
user_object = layered_average_gap_conductivity
[]
[axial_relocation_strain]
type = MaterialRealAux
variable = axial_relocation_strain
block = fuel
property = axial_relocation_strain
execute_on = 'nonlinear timestep_end'
[]
[gap_thermal_conductivity]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[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
gap_conductivity = 1
[]
[]
[BCs]
[temperature]
type = DirichletBC
boundary = '10 12 5 2'
variable = temperature
value = 1200
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[]
[Materials]
[uo2pulverization]
type = UO2Pulverization
block = fuel
burnup = burnup
layered_average_contact_pressure = layered_average_contact_pressure
temperature = temperature
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[axial_relocation_strain]
type = UO2AxialRelocationEigenstrain
block = fuel
axial_relocation_eigenstrain_object = layered_eigenstrain
eigenstrain_name = axial_relocation
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = timestep_end
boundary = 10
num_layers = 5
[]
[layered_average_gap_conductivity]
type = LayeredSideAverage
variable = gap_thermal_conductivity
direction = y
execute_on = timestep_end
boundary = 10
num_layers = 5
[]
[layered_eigenstrain]
type = LayeredAxialRelocationEigenstrainUserObject
pellet_outer_radius = outer_fuel_radius
axial_relocation_object = axial_relocation
penetration = penetration
direction = y
execute_on = 'initial timestep_end'
boundary = 10
layer_bounding_block = fuel
num_layers = 5
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial timestep_end'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'timestep_begin final'
boundary = 5
layer_bounding_block = fuel
num_layers = 5
[]
[axial_relocation]
type = AxialRelocationUserObject
block = fuel
direction = y
num_layers = 5
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = timestep_end
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
execute_on = timestep_end
[]
[clad_volume]
type = LayeredInternalVolumePostprocessor
addition = 0
boundary = 5
component = 0
execute_on = 'INITIAL LINEAR'
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy_0
use_displaced_mesh = true
[]
[pellet_volume]
type = LayeredCrumbledInternalVolumePostprocessor
axial_relocation_object = axial_relocation
boundary = 10
component = 0
execute_on = 'INITIAL LINEAR'
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy_0
use_displaced_mesh = true
[]
[gas_volume]
type = LinearCombinationPostprocessor
execute_on = 'INITIAL LINEAR'
pp_coefs = '1 1'
pp_names = 'clad_volume pellet_volume'
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 14
dt = 2
[]
[VectorPostprocessors]
[vpp]
type = LineValueSampler
start_point = '2.25e-3 0.05 0'
end_point = '2.25e-3 0.45 0'
num_points = 5
sort_by = y
variable = 'axial_relocation_strain layered_packing_fraction'
outputs = results
[]
[]
[Outputs]
hide = penetration
[results]
type = CSV
execute_on = final
create_final_symlink = true
[]
[]
(test/tests/element_integral_power/element_integral_power_1D.i)
# Tests the ElementIntegralPower postprocessor
#
# A constant volumetric fission rate of 3.125e18 fissions/m^3-s is applied to a RZ cylinder
# having an inner radius of 0.01 m, outer radius of 0.0114818 m and height of 0.01 m.
# The power is thus constant with magnitude:
#
# Power = Fdot * Energy_per_fission * Volume
# = 3.125e18 * 3.2e-11 * Pi*(0.0114818^2 - 0.01^2) * 0.01
# = 100
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.01
include_clad = false
include_plenum = false
slices_per_block = 1
pellet_bottom_coor = 0
pellet_outer_radius = 0.011481768
pellet_inner_radius = 0.01
clad_gap_width = 0
clad_thickness = 0
elem_type = EDGE2
pellet_mesh_density = customize
nx_p = 1
[]
[]
[Functions]
[unity]
type = ParsedFunction
expression = '1.0'
[]
[]
[Variables]
[temp]
initial_condition = 500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 3.125e18
fission_rate_function = unity
execute_on = 'initial timestep_begin'
[]
[]
[BCs]
[left_T]
type = DirichletBC
variable = temp
boundary = 13
value = 500.0
[]
[]
[Materials]
[fuel]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 10
specific_heat = 100
[]
[density]
type = ParsedMaterial
block = fuel
property_name = density
expression = 10000
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 2
dt = 1.0e6
nl_abs_tol = 1e-8
[]
[Postprocessors]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
fuel_pin_geometry = pin_geometry
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Outputs]
exodus = true
[]
(test/tests/axial_relocation/uo2_pulverization_phasefield.i)
# This file is to test the phase-field based pulverization criterion for UO2 fuel
# with evolve_bubble_pressure_hbs = false and using the 2D phase field criterion
# for pulverization.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 673.15 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 110. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. This material property is output to the exodus file for this test.
# At each time step, the porosity in the HBS region is calculated at each radial
# position using the correlation due to Kampf in the UO2Thermal material.
# The porosity, along with the hydrostatic stress, are used to calculate the
# critical pressure for grain boundary fracture using data from fits to phase-field
# fracture simulations. The current pressure of the most likely bubble
# size is compared to the critical pressure to determine whether pulverization has
# occurred at each quadrature point.
# Based upon the conditions and threshold given above at t = 110 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 673.15, 673.15+(t-100)*15.5)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
hbs_model = true
hbs_material = hbs_formation
evolve_bubble_pressure_hbs = false
[]
[uo2pulverizationmesoscale]
type = UO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
pulverization_criterion_type = phase_field_2D
outputs = exodus
[]
[dummy_stress]
type = GenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-1e7 -1e7 -1e7 0 0 0'
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = HighBurnupStructureFormation
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 110
dt = 1
[]
[Outputs]
exodus = true
[]
(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'
[]
[]
(test/tests/axial_relocation/ad_uo2_pulverization_mesoscale.i)
# This file is to test the mesoscale-informed pulverization criterion for UO2 fuel.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 900 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 110. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. This material property is output to the exodus file for this test.
# At each time step, the porosity in the HBS region is calculated at each radial
# position using the correlation due to Kampf in the UO2Thermal material.
# The porosity, along with the grain boundary strength and hydrostatic stress, are
# used to calculate the critical pressure for grain boundary fracture by the
# UO2PulverizationMesoscale material. The current pressure of the most likely bubble
# size is compared to the critical pressure to determine whether pulverization has
# occurred at each quadrature point.
# Based upon the conditions and threshold given above at t = 110 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 900, 900+(t-100)*200)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = ADMaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = ADUO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
hbs_model = true
hbs_material = hbs_formation
[]
[uo2pulverizationmesoscale]
type = ADUO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
outputs = exodus
[]
[dummy_stress]
type = ADGenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-1e7 -1e7 -1e7 0 0 0'
[]
[fuel_thermal]
type = ADUO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = ADHighBurnupStructureFormation
block = fuel
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = Newton
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 110
dt = 1
[]
[Outputs]
exodus = true
[]
(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
[]
[]
(test/tests/layered_1D/multi_block_error.i)
#
# Mesh has three fuel blocks with different inner radii and numbers of slices.
#
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = disp_x
slice_heights = '3.0 3.0 2.0 2.0 2.0 6.0 4.0'
volumetric_locking_correction = false
temperature = temp
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[gen]
type = Layered1DMeshGenerator
uniform_slice_heights = false
slices_per_block = '2 3 1'
include_fuel = true
include_clad = true
include_plenum = true
pellet_bottom_coor = 0
clad_gap_width = .001
clad_thickness = .001
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 1
nx_c = 1
elem_type = EDGE2
[]
[]
[Functions]
[clad_axial_pressure]
type = ParsedFunction
expression = 2.0
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = 1.0
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[temp_clad_int]
type = DirichletBC
boundary = all_clad_interior
variable = temp
value = 600
[]
[temp_clad_ext]
type = DirichletBC
boundary = clad_outside_right
variable = temp
value = 500
[]
[temp_ext]
type = DirichletBC
boundary = all_pellet_exterior
variable = temp
value = 800
[]
[temp_center]
type = DirichletBC
boundary = pellet_centerline
variable = temp
value = 900
[]
[no_x]
type = DirichletBC
boundary = pellet_centerline
variable = disp_x
value = 0.0
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = true
mesh_generator = layered1D_mesh
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel_1]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_1
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[fuel_2]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_2
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[fuel_3]
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
block = fuel_3
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
eigenstrain_names = 'fuelthermal_strain'
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
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'
group_scalar_vars_in_reference_residual = true
extra_vector_tags = 'ref'
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'fuel_1 fuel_2 fuel_3'
youngs_modulus = 1e8
poissons_ratio = 0.25
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'fuel_1 fuel_2 fuel_3'
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'fuel_1 fuel_2 fuel_3'
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 293.0
eigenstrain_name = fuelthermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1e6
poissons_ratio = 0.25
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 8e-6
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[heat_fuel]
type = HeatConductionMaterial
block = 'fuel_1 fuel_2 fuel_3'
specific_heat = 1.0
thermal_conductivity = 7000.0
[]
[heat_clad]
type = HeatConductionMaterial
block = clad
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density_fuel]
type = StrainAdjustedDensity
block = 'fuel_1 fuel_2 fuel_3'
density = 10.0
[]
[density_clad]
type = StrainAdjustedDensity
block = clad
strain_free_density = 1.0
[]
[]
[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_abs_tol = 9e-2
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Postprocessors]
[ave_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temp
execute_on = timestep_end
fuel_pin_geometry = pin_geometry
[]
[]
[Outputs]
exodus = true
[]
(test/tests/axial_relocation/uo2_pulverization_mesoscale.i)
# This file is to test the mesoscale-informed pulverization criterion for UO2 fuel.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 900 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 110. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. This material property is output to the exodus file for this test.
# At each time step, the porosity in the HBS region is calculated at each radial
# position using the correlation due to Kampf in the UO2Thermal material.
# The porosity, along with the grain boundary strength and hydrostatic stress, are
# used to calculate the critical pressure for grain boundary fracture by the
# UO2PulverizationMesoscale material. The current pressure of the most likely bubble
# size is compared to the critical pressure to determine whether pulverization has
# occurred at each quadrature point.
# Based upon the conditions and threshold given above at t = 110 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 900, 900+(t-100)*200)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = MaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = UO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
hbs_model = true
hbs_material = hbs_formation
[]
[uo2pulverizationmesoscale]
type = UO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
outputs = exodus
[]
[dummy_stress]
type = GenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-1e7 -1e7 -1e7 0 0 0'
[]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = HighBurnupStructureFormation
block = fuel
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 110
dt = 1
[]
[Outputs]
exodus = true
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample3_ox.i)
# Sample at midplane
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[oxygen]
initial_condition = 0.009 #nominal value
scaling = 1e-20
[]
[]
[AuxVariables]
[temp]
[]
[fission_rate]
[]
[burnup]
[]
[oxygen_to_metal_ratio]
order = CONSTANT
family = MONOMIAL
initial_condition = 1.982
[]
[saved_t]
[]
[saved_o]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39456.16 39456.16 43890.71 43890.71 53442.06 53442.06 0'
[]
[]
[Kernels]
[oxygen_time_derivative]
type = TimeDerivative
variable = oxygen
[]
[oxygen]
type = MOXOxygenDiffusion
variable = oxygen
temperature = temp
burnup = burnup
oxygen_to_metal_ratio = oxygen_to_metal_ratio
O_M_initial = 1.982
q0 = 0.31
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[OM]
type = MaterialRealAux
variable = oxygen_to_metal_ratio
property = oxygen_to_metal_ratio
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = 0.1372
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[O_M_ratio]
type = MOXOxygenToMetalRatio
oxygen = oxygen
output_properties = 'oxygen_to_metal_ratio'
O_M_initial = 1.982
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = oxygen
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = false
color = true
csv = false
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'TIMESTEP_END'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[]
(examples/axial_relocation/layered1D/single_balloon.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
order = FIRST
family = LAGRANGE
displacements = disp_x
temperature = temp
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 36
pellet_outer_radius = 4.5e-3
clad_gap_width = 0.0
clad_thickness = 0.56e-3
fuel_height = 3.6
include_plenum = false
pellet_bottom_coor = 0.0
[]
[]
[Variables]
[temp]
initial_condition = 300.0
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 0.07
[]
[clad_displacement_function]
type = ParsedFunction
expression = '2.0e-5 * t * sin(pi * y / 3.6)'
[]
[power]
type = PiecewiseLinear
x = '0 100'
y = '0 15000'
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[layered_mass_fraction]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_burnup]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = FIRST
family = LAGRANGE
[]
[pulverized]
order = CONSTANT
family = MONOMIAL
[]
[inner_clad_radius]
order = FIRST
family = LAGRANGE
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[outer_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[axial_relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
strain = finite
block = fuel
eigenstrain_names = 'axial_relocation'
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[layered_contact_pressure]
type = SpatialUserObjectAux
variable = layered_average_contact_pressure
execute_on = timestep_end
block = fuel
user_object = average_contact_pressure
[]
[layered_mass_fraction]
type = AxialRelocationOutputAux
variable = layered_mass_fraction
execute_on = timestep_end
block = fuel
axial_relocation_user_object = axial_relocation
output_option = MASS_FRACTION
[]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = nonlinear
block = fuel
[]
[pulverized]
type = MaterialRealAux
property = pulverized
variable = pulverized
execute_on = 'initial timestep_end'
block = fuel
[]
[inner_clad_radius]
type = Radius
boundary = 5
variable = inner_clad_radius
execute_on = 'initial nonlinear'
[]
[outer_fuel_radius]
type = Radius
boundary = 10
variable = outer_fuel_radius
execute_on = 'initial nonlinear'
[]
[layered_maximum_clad_radius]
type = SpatialUserObjectAux
variable = layered_maximum_clad_radius
execute_on = timestep_end
block = fuel
user_object = layered_maximum_clad_radius
[]
[axial_relocation_strain]
type = MaterialRealAux
variable = axial_relocation_strain
block = fuel
property = axial_relocation_strain
execute_on = 'timestep_end'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[inner_clad_displacement]
type = FunctionDirichletBC
variable = disp_x
boundary = '5'
function = clad_displacement_function
[]
[center]
type = DirichletBC
variable = temp
boundary = 12
value = 300
[]
[clad_inner_surface]
type = DirichletBC
variable = temp
boundary = 5
value = 300
[]
[clad_outer_surface]
type = DirichletBC
variable = temp
boundary = 2
value = 300
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
execute_on = 'initial nonlinear'
boundary = 10
num_layers = 36
[]
[layered_eigenstrain]
type = LayeredAxialRelocationEigenstrainUserObject
pellet_outer_radius = outer_fuel_radius
axial_relocation_object = axial_relocation
penetration = penetration
direction = y
execute_on = 'initial nonlinear'
boundary = 10
layer_bounding_block = fuel
num_layers = 36
[]
[layered_maximum_clad_radius]
type = LayeredNodalExtremeValue
variable = inner_clad_radius
direction = y
execute_on = 'initial nonlinear'
boundary = 5
layer_bounding_block = fuel
num_layers = 36
[]
[layered_clad_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = pin_geometry
out_of_plane_strain = 0
direction = y
execute_on = 'initial nonlinear'
boundary = 5
layer_bounding_block = fuel
num_layers = 36
[]
[average_outer_fuel_radius]
type = LayeredSideAverage
variable = outer_fuel_radius
direction = y
execute_on = 'initial nonlinear'
boundary = 10
num_layers = 36
[]
[layered_average_burnup]
type = LayeredAverage
variable = burnup
direction = y
execute_on = 'initial nonlinear'
block = fuel
num_layers = 36
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
fuel_pin_geometry = pin_geometry
variable = pulverized
direction = y
execute_on = 'initial nonlinear'
block = fuel
num_layers = 36
[]
[axial_relocation]
type = AxialRelocationUserObject
direction = y
num_layers = 36
layered_average_burnup = layered_average_burnup
layered_pulverized_fuel_volume = layered_pulverized_fuel_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_clad_internal_volume = layered_clad_internal_volume
max_linear_heat_generation_rate = maximum_power
fuel_pin_geometry = pin_geometry
fragment_packing_fraction = 0.75 # Set to force overall packing fraction to be 0.75
pulver_packing_fraction = 0.75 # Set to force overall packing fraction to be 0.75
pulver_characteristic_length = 0.0001
nonrelocatable_fuel_fraction = 0.01
execute_on = 'initial nonlinear'
[]
[]
[Materials]
[fuel_pulverization]
type = UO2Pulverization
burnup = burnup
block = fuel
temperature = temp
layered_average_contact_pressure = layered_average_contact_pressure
[]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 3.0
specific_heat = 260.0
[]
[axial_relocation_strain]
type = UO2AxialRelocationEigenstrain
block = fuel
axial_relocation_eigenstrain_object = layered_eigenstrain
eigenstrain_name = axial_relocation
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2.e11
poissons_ratio = .345
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[rod_input_power]
type = FunctionValuePostprocessor
function = power
execute_on = 'timestep_end'
[]
[maximum_power]
type = TimeExtremeValue
postprocessor = rod_input_power
value_type = max
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]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.05 0'
end_point = '0 3.55 0'
num_points = 36
sort_by = y
variable = layered_mass_fraction
outputs = mass_fraction
[]
[]
[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'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
dt = 2
start_time = 0.0
end_time = 100
[]
[Outputs]
perf_graph = true
exodus = true
[mass_fraction]
type = CSV
execute_on = 'final'
create_final_symlink = true
[]
[]
(assessment/metallic_fuel/EBRII/X441/analysis/group_D/x441_1_5D_D.i)
initial_fuel_density = 15800.0
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
# Nominal Design Geometric Parameters (X441)
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_thickness = ${clad_thickness}
pellet_outer_radius = ${pellet_outer_radius}
fuel_height = ${pellet_height}
plenum_height = ${clad_top_gap_height}
clad_gap_width = ${clad_gap_width}
# meshing parameters
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
nx_c = 4
slices_per_block = 10
elem_type = EDGE2
[]
# mesh options
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
# Aux variables for output
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '0 44722 44722 0'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 42000400'
y = '1.0 1.0'
[]
[coolant_temp_ramp]
type = PiecewiseLinear
x = '0 1e5 41990400 42000400'
y = '298.0 648.0 648.0 350.0'
[]
[axial_peaking_factors]
type = PowerPeakingFunction
fit = EBRII_ROW_4
pellet_length = ${pellet_height}
pellet_y_start = ${pellet_y_start}
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = coolant_press_ramp
coolant_pressure_scaling_factor = 0.151e6
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]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = fuel
eigenstrain_names = 'fuel_thermal_strain gas_swelling_eigenstrain solid_swelling_eigenstrain'
mesh_generator = layered1D_mesh
[]
[clad]
strain = FINITE
add_variables = true
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain'
mesh_generator = layered1D_mesh
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
fission_rate = fission_rate
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e12
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
quadrature = true
gap_conductivity = 61.0
min_gap = ${clad_gap_width}
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '2'
variable = temp
inlet_temperature = coolant_temp_ramp
inlet_pressure = coolant_press_ramp
inlet_massflux = 5261.5 # kg/m^2-sec
coolant_material = sodium
rod_diameter = 5.84e-3 # m
rod_pitch = 7.48e-3 # m (Pitch-to-diameter Ratio = 1.28)
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
subchannel_geometry = triangular
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${pellet_outer_radius}
X_Zr = ${X_Zr}
X_Pu_function = ${X_Pu}
block = fuel
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = ${X_Zr}
initial_X_Pu = ${X_Pu}
density = ${initial_fuel_density}
block = fuel
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
block = fuel
temperature = temp
[]
[fuel_inelastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 1e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[gas_swelling]
type = UPuZrGaseousEigenstrain
temperature = temp
eigenstrain_name = gas_swelling_eigenstrain
initial_porosity = 0.0
bubble_number_density = 1e20
outputs = all
output_properties = 'porosity gaseous_porosity'
block = fuel
[]
[solid_swelling]
type = BurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = fuel
swelling_name = 'solid_swelling'
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = ${X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 15800
[]
[fission_gas_behavior]
type = UPuZrFissionGasRelease
block = fuel
fission_rate = fission_rate
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.88e11
poissons_ratio = 0.236
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = clad
[]
[fast_flux]
type = FastNeutronFlux
block = clad
factor = 2.47e19
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = clad
temperature = temp
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = HT9Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7874.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 40
nl_rel_tol = 5e-4
nl_abs_tol = 1e-7
end_time = 42000400
dtmin = 100
dtmax = 5e5
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = creep_timestep
dt = 1e2
time_t = '0 1e5 41990400 42000400'
time_dt = '1e2 1e2 1e2 1e2'
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[ave_temp_interior] # 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
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'
[]
[gas_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial linear'
component = 0
out_of_plane_strain = strain_yy
fuel_pin_geometry = pin_geometry
addition = ${gas_addition}
[]
[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
[]
[rod_total_power]
type = LayeredElementIntegralPowerPostprocessor
variable = temp
fission_rate = fission_rate
block = fuel
fuel_pin_geometry = pin_geometry
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = 12
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = 10
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = 5
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = clad
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = 10
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasProducePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasePostprocessor
block = fuel
fuel_pin_geometry = pin_geometry
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = clad
variable = hoop_creep_strain
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = clad
variable = total_hoop_strain
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'vec1'
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = 12
sort_by = y
outputs = 'vec2'
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = 10
sort_by = y
outputs = 'vec3'
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = 5
sort_by = y
outputs = 'vec4'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'vec5'
[]
[fuel_surf_disp_x]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'vec7'
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics_file
[]
[Outputs]
time_step_interval = 10
color = true
exodus = true
perf_graph = true
csv = true
sync_times = '1e3 5e3 1e4 5e4 1e5 5e6 1e6 5e6 1e7 2e7 3e7 4e7 41990400 41991000'
file_base = x441_${group_name}_1_5D
[out2]
type = CSV
file_base = x441_${group_name}_1_5D_out2
time_step_interval = 1
[]
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
file_base = x441_${group_name}_1_5D_chkfile
show = 'max_approx_FCT max_ave_FST max_ave_CIT average_burnup fis_gas_percent max_clad_hoop_creep max_total_hoop_strain'
execute_on = 'FINAL'
[]
[performance_metrics_file]
type = CSV
file_base = x441_${group_name}_1_5D_performance_metrics
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[vec1]
type = CSV
file_base = x441_${group_name}_1_5D_vec1
execute_on = 'FINAL'
[]
[vec2]
type = CSV
file_base = x441_${group_name}_1_5D_vec2
execute_on = 'FINAL'
[]
[vec3]
type = CSV
file_base = x441_${group_name}_1_5D_vec3
execute_on = 'FINAL'
[]
[vec4]
type = CSV
file_base = x441_${group_name}_1_5D_vec4
execute_on = 'FINAL'
[]
[vec5]
type = CSV
file_base = x441_${group_name}_1_5D_vec5
execute_on = 'FINAL'
[]
[vec7]
type = CSV
file_base = x441_${group_name}_1_5D_vec7
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x temp'
show_var_residual_norms = true
[]
(test/tests/axial_relocation/ad_uo2_pulverization_phasefield2.i)
# This file is to test the phase-field based pulverization criterion for UO2 fuel
# with evolve_bubble_pressure_hbs = true and using the 3D phase field criterion
# for pulverization.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 673.15 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 125. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. This material property is output to the exodus file for this test.
# At each time step, the porosity in the HBS region is calculated at each radial
# position using the correlation due to Kampf in the UO2Thermal material.
# The porosity, along with the hydrostatic stress, are used to calculate the
# critical pressure for grain boundary fracture using data from fits to phase-field
# fracture simulations. The current pressure of the most likely bubble
# size is compared to the critical pressure to determine whether pulverization has
# occurred at each quadrature point.
# Based upon the conditions and threshold given above at t = 110 s the outer three
# elements should be completely pulverized. The inner radius of the third element
# is at a radius of 3.150 mm. Therefore the layered averaged pulverized fuel volume
# (in each layer in this case) is analytically determined by:
#
# V_p = pi * L * (R_o^2 - R_p^2)
#
# where L is the slice height (0.1 m), R_o is the outer fuel radius, and R_p is the
# radius into the fuel at which pulverization ends. Therefore:
#
# V_p = pi * (0.1) * (4.5e-3^2 - 3.150e-3^2)
# V_p = 3.24448e-6 m^3 in each layer.
#
# The layered_pulverized_fuel_volume AuxVariable computed by BISON gives
# a layered volume of pulverized fuel as 3.24448e-6 m^3.
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 673.15, 673.15+(t-100)*15.5)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = ADMaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[fission_gas_behavior]
type = ADUO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
hbs_model = true
hbs_material = hbs_formation
[]
[uo2pulverizationmesoscale]
type = ADUO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
pulverization_criterion_type = phase_field_3D
outputs = exodus
[]
[dummy_stress]
type = ADGenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-1e7 -1e7 -1e7 0 0 0'
[]
[fuel_thermal]
type = ADUO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = ADHighBurnupStructureFormation
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Executioner]
type = Transient
solve_type = Newton
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 125
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/layered_internal_volume.i)
#
# This test checks the LayeredInternalVolume UserObject.
# The mesh is two lines of fuel and three of cladding. The height of each is
# 1/pi. The initial radius of the fuel is 1. The inner radius of the cladding
# is sqrt(2). The LayeredInternalVolume UserObject reports the enclosed volume
# for individual layers where fuel is present. Therefore, the
# LayeredInternalVolume of each layer with fuel is:
#
# 0.5 * (2(pi * 2 / pi) - 2(pi * 1 / pi)) = 1
#
# A strain of 0.2 in the yy direction is applied to the fuel. This makes the
# fuel volume 2(pi*1/pi*1.2) = 2.4. Therefore, the layered internal volume in
# each layer becomes:
#
# 0.5 * (2(pi * 2 / pi) - 2.4) = 0.8
#
# A strain of 0.1 in the yy direction is applied to the upper cladding slice.
# The cladding volume is then 2pi*2/pi + pi*2/pi*1.1 = 6.2. Since this strain
# is only applied to the upper cladding slice, the cladding layers coinciding
# with the fuel layers do not change and the layered internal volume in each
# layer remains 0.8.
#
# Finally, the outer radius of the fuel is displaced sqrt(1.4/1.2)-1 giving
# an outer fuel radius position of sqrt(1.4/1.2). The fuel volume becomes
# 2*pi*(1.4/1.2)/pi*1.2 = 2.4. The final layered internal volume in each layer
# is:
#
# 0.5 * (2(pi * 2 / pi) - 2*pi*(1.4/1.2)/pi*1.2) = 0.6
#
# These results are verified with the layered_internal_volume AuxVariable.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.63661977236 # 2 / pi
plenum_height = 0.3183098861837907 # 1 / pi
slices_per_block = 2
pellet_outer_radius = 1
clad_gap_width = 0.4142135623730950488
clad_thickness = 1
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 2
nx_c = 1
bx_p = 2
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[strain_yy]
[]
[layered_internal_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[dummy_disp]
type = ParsedFunction
expression = t*0.0801234497346435
[]
[disp_x_fuel]
type = PiecewiseLinear
x = '0 2 3'
y = '0 0 0.0801234497346435'
[]
[strain_yy]
type = ParsedFunction
expression = 'if(x<1.2,
if(t<=1,
t*0.2,
0.2
),
if(y>0.5,
if(t<=1,
0,
if(t<=2,(t-1)*0.1,0.1)
),
0
)
)'
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
[]
[]
[AuxKernels]
[strain_yy]
type = FunctionAux
variable = strain_yy
function = strain_yy
[]
[layered_internal_volume]
type = SpatialUserObjectAux
variable = layered_internal_volume
user_object = layered_internal_volume
execute_on = 'initial timestep_end'
block = fuel
[]
[]
[BCs]
[dummy]
type = FunctionDirichletBC
variable = disp_x
boundary = 2
function = dummy_disp
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[strain]
type = ComputeAxisymmetric1DIncrementalStrain
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[layered_internal_volume]
type = LayeredInternalVolume
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
boundary = 9
block = fuel
direction = y
num_layers = 2
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 9
execute_on = 'initial timestep_end'
[]
[vol_fuel]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 10
execute_on = 'initial timestep_end'
[]
[vol_clad]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 5
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 3
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/elongation_friction.i)
#
# This test checks friction is applied to a one-dimensional,
# layered simulation. In this simulation, fuel and cladding
# arrive at a stick state, which constraints out of plane strain
# increments in both blocks to be equal.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
plenum_height = 0.1e-3 # 1 / pi
slices_per_block = 1
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 5
nx_c = 3
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[temperature]
[]
[tangential_contact_pressure_aux]
block = fuel
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 8'
y = '300 2000'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
temperature = temperature
fuel_pin_geometry = pin_geometry
eigenstrain_names = 'fuel_thermal_strain'
block = fuel
strain = finite
mesh_generator = layered1D_mesh
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
temperature = temperature
fuel_pin_geometry = pin_geometry
eigenstrain_names = 'clad_thermal_strain'
block = clad
strain = finite
mesh_generator = layered1D_mesh
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = temperature_function
variable = temperature
[]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[]
[BCs]
[disp_x]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 200e9
poissons_ratio = 0
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 40e-6
temperature = temperature
stress_free_temperature = 300
block = fuel
eigenstrain_name = fuel_thermal_strain
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 3e-6
temperature = temperature
stress_free_temperature = 300
block = clad
eigenstrain_name = clad_thermal_strain
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = clad_inside_right
secondary = pellet_outer_radial_surface
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 2
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 1
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 1
block = fuel
direction_min = 0.0045
direction_max = 0.0055
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 1
block = clad
direction_min = 0.0045
direction_max = 0.0055
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
# Search for input files
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 1
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 = 0.6
thickness = 0.01
# 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 = 0.0045
direction_max = 0.0055
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 1
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 1
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
# Search for input files
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 1
direction_min = 0.0045
direction_max = 0.0055
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 = 0.6
thickness = 0.01
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 1
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 1
execute_on = 'LINEAR NONLINEAR'
[]
[]
[Postprocessors]
[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'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-10
end_time = 8
dt = 1
[]
[Outputs]
csv = true
exodus = true
[]
(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'
[]
[]
(test/tests/uo2_transient_fission_gas_release/ad_uo2_pulverization_phasefield2_transient_FGR.i)
# This file is to test the transient fission gas release model that accounts for
# the amount of fission gas released as a result of fuel pulverization. it is
# based on the input file called uo2_pulverization_mesoscale.i, which tests the
# pulverization criteria for UO2 fuel with evolve_bubble_pressure_hbs = true and
# using the 3D phase field criterion for pulverization.
# In the test 5 axial fuel slices are modeled without cladding with an outer fuel
# radius of 4.5 mm and slice height of 0.1 m. Ten radial finite elements are used.
# The burnup increases linearly from the fuel centerline to the fuel surface.
# Temperature is held at constant T = 673.15 K from t = 0 to t = 100, followed
# by a ramp in temperature from t = 100 to t = 125. Pulverization will occur
# during the ramp only, in the rim region where a significant amount of high burnup
# structure formation has begun. Local pulverization is tracked with the material
# property pulverized, which is 0 where pulverization has not occured and 1 where
# it has occurred. A material property uses the local pulverization to compute the
# amount of fission gas released as a results of fuel pulverization.
# This material property is output to the exodus file for this test.
# At each time step, the pulverized material property is computed, as well as
# the bubble radius and amount of fission gas in bubbles. These material property
# are then used to determine the amount of fission gas release due to pulverization.
# This amount predicted by the material block
# UO2PulverizationTransientFissionGasRelease is compared with analytical calculations
# made in the material block fission_gas_released_amount for verification.
# This input is the AD version.
hydrostatic_stress_constant = 1e7
[GlobalParams]
value_range_behavior = WARN
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
elem_type = EDGE2
slices_per_block = 5
pellet_outer_radius = 4.5e-3
include_clad = false
fuel_height = 0.5
include_plenum = false
nx_p = 10
pellet_mesh_density = customize
pellet_bottom_coor = 0.0
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 600
[]
[]
[AuxVariables]
[burnup]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[pulverized_aux]
order = CONSTANT
family = MONOMIAL
[]
[layered_pulverized_fuel_volume]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 'x*1.6*t/4.275'
[]
[temperature_function]
type = ParsedFunction
expression = 'if(t < 100, 900, 900+(t-100)*200)'
[]
[Fiss_func]
type = ParsedFunction
expression = '1.e19'
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[]
[AuxKernels]
[burnup]
type = FunctionAux
variable = burnup
function = burnup_function
execute_on = 'initial linear'
[]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 1
fission_rate_function = Fiss_func
execute_on = 'initial timestep_begin'
[]
[pulverized]
type = ADMaterialRealAux
block = fuel
variable = pulverized_aux
property = pulverized
execute_on = 'initial nonlinear'
[]
[layered_pulverized_fuel_volume]
type = SpatialUserObjectAux
variable = layered_pulverized_fuel_volume
execute_on = timestep_end
block = fuel
user_object = layered_pulverized_fuel_volume
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
boundary = '10 12'
variable = temperature
function = temperature_function
[]
[]
[Materials]
[UO2PulverizationTransientFissionGasRelease] # moles/m^3
type = ADUO2PulverizationTransientFissionGasRelease
block = fuel
outputs = exodus
[]
[fission_gas_behavior]
type = ADUO2Sifgrs
block = fuel
temperature = temperature
fission_rate = fission_rate
burnup = burnup
skip_bdr_model = true
ig_bubble_model = MECHANISTIC_AAGESEN
hbs_model = true
hbs_material = hbs_formation
pulverization_model = true
pulverization_transient_fission_gas_release_material = UO2PulverizationTransientFissionGasRelease
ig_diff_algorithm = FORMAS
hydrostatic_stress_const = ${hydrostatic_stress_constant}
igdiffcoeff_scalef_HBS = 1e24 # Ensures that all the generated fission gases diffuse from the HBS matrix to the HBS bubbles
[]
[uo2pulverizationmesoscale]
type = ADUO2PulverizationMesoscale
block = fuel
temperature = temperature
output_properties = pulverized
pulverization_criterion_type = phase_field_3D
outputs = exodus
[]
[dummy_stress]
type = ADGenericConstantRankTwoTensor
tensor_name = 'stress'
tensor_values = '-${hydrostatic_stress_constant} -${hydrostatic_stress_constant} -${hydrostatic_stress_constant} 0 0 0'
[]
[fuel_thermal]
type = ADUO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup_function
output_properties = hbs_porosity
outputs = exodus
[]
[hbs_formation]
type = ADHighBurnupStructureFormation
block = fuel
temperature = temperature
burnup = burnup
threshold_temperature = 1273.15 # default
output_properties = hbs_volume_fraction
outputs = exodus
[]
[fission_gas_density_bubble_HBS] # moles/m^3
type = ADParsedMaterial
block = fuel
property_name = 'rho_FG_hbs'
material_property_names = 'atom_per_bubble_GB_HBS bubble_GB_volume_density_HBS'
constant_names = 'Na'
constant_expressions = '6.02214076e23'
expression = 'atom_per_bubble_GB_HBS * bubble_GB_volume_density_HBS / Na'
outputs = exodus
[]
[opened_pore_volume_fraction] # -
type = ADParsedMaterial
block = fuel
property_name = 'f_V_pul'
material_property_names = 'hbs_porosity bubble_radius_GB_HBS'
constant_names = 'fragment_size c_p c_r c_0'
constant_expressions = '5e-5 0.03 5.17 0.02'
expression = 'c_p * hbs_porosity + c_r * bubble_radius_GB_HBS/fragment_size + c_0'
outputs = exodus
[]
[fission_gas_released_amount_analytical] # moles/m^3
type = ADParsedMaterial
block = fuel
property_name = 'fis_gas_rel'
material_property_names = 'f_V_pul rho_FG_hbs pulverized'
expression = 'pulverized * f_V_pul * rho_FG_hbs'
outputs = exodus
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[layered_pulverized_fuel_volume]
type = LayeredVariableIntegral
variable = pulverized_aux
fuel_pin_geometry = fuel_pin_geometry
direction = y
execute_on = 'initial timestep_end'
block = fuel
num_layers = 5
[]
[]
[Postprocessors]
[FG_amount_bubble_HBS]
type = ADLayeredElementIntegralMaterialProperty
mat_prop = rho_FG_hbs
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[FGR_analytical]
type = ADLayeredElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[FGR]
type = ADLayeredElementIntegralMaterialProperty
mat_prop = gas_concentration_release_pulverization
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[FGR_pps_diff_bison_analytical]
type = DifferencePostprocessor
value1 = FGR_analytical
value2 = FGR
[]
[FG_pps_diff_total_released]
type = DifferencePostprocessor
value1 = FG_amount_bubble_HBS
value2 = FGR
[]
[volume_domain]
type = ADLayeredElementIntegralMaterialProperty
mat_prop = 1
block = fuel
execute_on = TIMESTEP_END
fuel_pin_geometry = fuel_pin_geometry
[]
[hbs_volume]
type = ADLayeredElementIntegralMaterialProperty
mat_prop = hbs_volume_fraction
block = fuel
execute_on = TIMESTEP_END
fuel_pin_geometry = fuel_pin_geometry
[]
[hbs_volume_fraction]
type = ParsedPostprocessor
pp_names = 'hbs_volume volume_domain'
expression = 'hbs_volume / volume_domain'
execute_on = TIMESTEP_END
[]
[pulverized_volume]
type = ADLayeredElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
execute_on = TIMESTEP_END
fuel_pin_geometry = fuel_pin_geometry
[]
[]
[Executioner]
type = Transient
solve_type = Newton
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 125
dt = 1
[]
[Outputs]
exodus = true
csv = true
file_base = ad_uo2_pulverization_phasefield2_transient_FGR_out
[]
(test/tests/layered_1D/layered1D_init_eigenstrain.i)
# The initial stress that is provided from the plenum pressure on the fuel pellet is countered via the initial
# eigenstrain material. The resulting strains are calculated in the initial time step behind the scenes. The stresses
# shown are the stresses from the plenum pressure, but the strains are the results of the initial eigenstrain and the strain
# of the plenum pressure on the fuel, which should be zero in the xx and zz directions. The poisson's ratio is zero for the fuel and cladding
# so the stress_yy is zero as a result.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
strain_free_density = 10431.0
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 1
pellet_outer_radius = 5e-3
pellet_bottom_coor = 0.2
fuel_height = 0.5
pellet_mesh_density = customize
clad_mesh_density = customize
include_plenum = true
plenum_height = 0.4
include_clad = true
clad_gap_width = .1
clad_thickness = 1e-3
nx_p = 1
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Functions]
[burnup_function]
type = ParsedFunction
expression = 0.07
[]
[outer_pressure_function]
type = PiecewiseLinear
x = '-100 10'
y = '1.0 1.0'
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temperature]
initial_condition = 1000
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[BCs]
[outersurface]
type = Pressure
boundary = '2'
variable = disp_x
factor = 101325.0
function = outer_pressure_function
[]
[outer_temperature]
type = DirichletBC
boundary = '2'
variable = temperature
value = 273
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12 5 2'
value = 0.0
[]
[temp_bc]
type = DirichletBC
variable = temperature
boundary = '10 12 5'
value = 1000
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
startup_time = -1
initial_pressure = 4.0e6
initial_temperature = 1000
R = 8.3143
temperature = plenum_temp # coupling to post processor to get gas temperature approximation
volume = gas_volume # coupling to post processor to get gas volume
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
execute_on = 'INITIAL LINEAR'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[gps_fuel]
block = fuel
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
strain = finite
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
automatic_eigenstrain_names = true
initial_eigenstrain_name = 'ini_stress'
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[gps_clad]
add_scalar_variables = true
add_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
strain = finite
block = clad
decomposition_method = EigenSolution
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = fuel
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e11
poissons_ratio = 0
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
block = fuel
initial_stress = '-4e6 0 0 0 0 0 0 0 -4e6'
eigenstrain_name = ini_stress
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 7.5e10
poissons_ratio = 0
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
block = clad
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 1.0
specific_heat = 1.0
[]
[]
[Postprocessors]
[stress_xx]
type = ElementAverageValue
variable = stress_xx
block = fuel
[]
[strain_xx]
type = ElementAverageValue
variable = strain_xx
block = fuel
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
block = fuel
[]
[strain_yy]
type = ElementAverageValue
variable = strain_yy
block = fuel
[]
[stress_zz]
type = ElementAverageValue
variable = stress_zz
block = fuel
[]
[strain_zz]
type = ElementAverageValue
variable = strain_zz
block = fuel
[]
[gas_volume]
type = InternalVolume
boundary = '9'
execute_on = 'initial linear'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
line_search = 'none'
l_max_its = 50
l_tol = 1e-03
nl_max_its = 15
nl_abs_tol = 1e-5
start_time = -.1
n_startup_steps = 1
dt = .1
end_time = .2
[]
[Outputs]
csv = true
[console]
type = Console
max_rows = 4
[]
[chkfile]
type = CSV
hide = 'plenum_temp gas_volume'
[]
[]
(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
[]
[]
(test/tests/layered_1D/elongation.i)
#
# This test checks the LayeredElongation Postprocessor.
# The mesh is one line of fuel and two of cladding. The dimensions are typical
# of a PWR fuel pellet and clad, with the exception of the plenum.
#
# A temperature ramp over 700 K from 300 to 1000 K is applied to both the fuel
# and cladding, which induces a thermal expansion strain. The instantaneous
# coefficients of thermal expansion are set to 10e-6 and 5e-6 for the fuel and
# cladding, respectively.
#
# The thermal expansion strain, which is the only out-of-plane strain induced
# is equal to the elongation of the respective fuel rod components.
#
# Therefore, for the fuel:
# elongation = 10e-6 * 700 * 10e-3 = 7e-5 m (70 microns)
#
# And for the cladding:
# elongation = 5e-6 * 700 * 10.1e-3 = 3.535e-5 m (35.35 microns)
#
# These analytical answers are correctly calculated by Bison as seen in the
# postprocessor values.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
plenum_height = 0.1e-3 # 1 / pi
slices_per_block = 1
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 5
nx_c = 3
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[disp_y]
[]
[temperature]
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 2'
y = '300 1000'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
temperature = temperature
fuel_pin_geometry = pin_geometry
eigenstrain_names = 'fuel_thermal_strain'
block = fuel
strain = small
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
temperature = temperature
fuel_pin_geometry = pin_geometry
eigenstrain_names = 'clad_thermal_strain'
block = clad
strain = small
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = temperature_function
variable = temperature
[]
[]
[BCs]
[disp_x]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 10e-6
temperature = temperature
stress_free_temperature = 300
block = fuel
eigenstrain_name = fuel_thermal_strain
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 5e-6
temperature = temperature
stress_free_temperature = 300
block = clad
eigenstrain_name = clad_thermal_strain
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 2
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 1
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[]
[Postprocessors]
[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'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-10
end_time = 2
dt = 1
[]
[Outputs]
csv = true
[]
(test/tests/layered_1D/lower_plenum_uniform_slices.i)
#
# This test checks the LayeredInternalVolumePostprocessor Postprocessor and the inclusion
# of a lower plenum.
#
# The mesh is six lines of fuel and eight of cladding. The uniform_slice_heights
# option is used for the fuel. The height of the fuel is 18. The height of the
# lower plenum is 2, and the height of the upper plenum is 4.
#
# The slice positions are -1, 1.5, 4.5, 7.5, 10.5, 13.5, 16.5, 20.
#
# The radius of the fuel is 1/sqrt(pi). The inner radius of the cladding is
# sqrt(2/pi). This gives an initial cavity volume of 24(pi*2/pi) - 18*pi*1/pi = 30.
#
# A strain of 0.2 in the yy direction is applied to the fuel. This makes the
# fuel volume pi*1/pi*1.2 = 21.6. The cavity volume is then 26.4.
#
# A strain of 0.1 in the yy direction is applied to the upper cladding slice.
# The cladding volume is then 20*pi*2/pi + 4*pi*2/pi*1.1 = 48.8. The cavity volume
# is then 27.2.
#
# Finally, the outer radius of the fuel is displaced sqrt(1.4/1.2/pi)-1/sqrt(pi) giving
# an outer fuel radius position of sqrt(1.4/1.2/pi). The fuel volume becomes
# 18*pi*(1.4/1.2)/pi*1.2 = 25.2. The final cavity volume is 48.8-25.2 = 23.6.
#
[GlobalParams]
displacements = disp_x
out_of_plane_strain = strain_yy
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
uniform_slice_heights = true
fuel_height = 18
plenum_height = 4
slices_per_block = '2 3 1'
pellet_bottom_coor = 0
pellet_outer_radius = 0.5641895835477563
clad_gap_width = 0.23369497725510913
clad_thickness = 0.5
pellet_mesh_density = customize
clad_mesh_density = customize
include_lower_plenum = true
lower_plenum_height = 2
nx_p = 2
nx_c = 1
bx_p = 2
[]
[]
[Functions]
[dummy_disp]
type = ParsedFunction
expression = t*0.0801234497346435
[]
[disp_x_fuel]
type = PiecewiseLinear
x = '0 2 3'
y = '0 0 0.04520481573819812'
[]
[strain_yy]
type = ParsedFunction
expression = 'if(x<0.6,
if(t<=1,
t*0.2,
0.2
),
if(y>18.0,
if(t<=1,
0,
if(t<=2,(t-1)*0.1,0.1)
),
0
)
)'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel_1]
block = fuel_1
add_variables = true
strain = SMALL
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
mesh_generator = layered1D_mesh
[]
[fuel_2]
block = fuel_2
add_variables = true
strain = SMALL
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
mesh_generator = layered1D_mesh
[]
[fuel_3]
block = fuel_3
add_variables = true
strain = SMALL
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
mesh_generator = layered1D_mesh
[]
[clad]
block = clad
add_variables = true
strain = SMALL
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[AuxKernels]
[strain_yy]
type = FunctionAux
variable = strain_yy
function = strain_yy
[]
[]
[BCs]
[dummy]
type = FunctionDirichletBC
variable = disp_x
boundary = 2
function = dummy_disp
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 9
execute_on = 'initial timestep_end'
[]
[vol_fuel]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 10
execute_on = 'initial timestep_end'
[]
[vol_clad]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 5
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 3
dt = 1
[]
[Outputs]
exodus = true
[]
(test/tests/layered_1D/internal_volume_scalar.i)
#
# This test checks the LayeredInternalVolumePostprocessor Postprocessor.
# The mesh is one line of fuel and two of cladding. The height of each is
# 1/pi. The initial radius of the fuel is 1. The inner radius of the cladding
# is sqrt(2). This gives an initial cavity volume of 2(pi*2/pi) - pi*1/pi = 3.
#
# A strain of 0.2 in the yy direction is applied to the fuel. This makes the
# fuel volume pi*1/pi*1.2 = 1.2. The cavity volume is then 2.8.
#
# A strain of 0.1 in the yy direction is applied to the upper cladding slice.
# The cladding volume is then pi*2/pi + pi*2/pi*1.1 = 4.2. The cavity volume
# is then 3.0.
#
# Finally, the outer radius of the fuel is displaced sqrt(1.4/1.2)-1 giving
# an outer fuel radius position of sqrt(1.4/1.2). The fuel volume becomes
# pi*(1.4/1.2)/pi*1.2 = 1.4. The final cavity volume is 4.2-1.4 = 2.8.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = disp_x
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 0.3183098861837907 # 1 / pi
plenum_height = 0.3183098861837907 # 1 / pi
slices_per_block = 1
pellet_outer_radius = 1
clad_gap_width = 0.4142135623730950488
clad_thickness = 1
pellet_bottom_coor = 0
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 1
nx_c = 1
[]
[]
[Variables]
[disp_x]
[]
[]
[AuxVariables]
[scalar_out_of_plane_fuel_1]
order = FIRST
family = SCALAR
[]
[scalar_out_of_plane_clad_1]
order = FIRST
family = SCALAR
[]
[scalar_out_of_plane_clad_2]
order = FIRST
family = SCALAR
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[dummy_disp]
type = ParsedFunction
expression = t*0.0801234497346435
[]
[disp_x_fuel]
type = PiecewiseLinear
x = '0 2 3'
y = '0 0 0.0801234497346435'
[]
[strain_fuel]
type = ParsedFunction
expression = 'if(t<=1, t*0.2, 0.2)'
[]
[strain_clad_upper]
type = ParsedFunction
expression = 'if(t<=1, 0, if(t<=2,(t-1)*0.1,0.1))'
[]
[strain_clad_lower]
type = ParsedFunction
expression = '0'
[]
[]
[Kernels]
[rz]
type = StressDivergenceRZTensors
variable = disp_x
component = 0
block = 'fuel clad'
[]
[]
[AuxScalarKernels]
[strain_fuel]
type = FunctionScalarAux
variable = scalar_out_of_plane_fuel_1
function = strain_fuel
[]
[strain_clad_1]
type = FunctionScalarAux
variable = scalar_out_of_plane_clad_1
function = strain_clad_lower
[]
[strain_clad_2]
type = FunctionScalarAux
variable = scalar_out_of_plane_clad_2
function = strain_clad_upper
[]
[]
[AuxKernels]
[strain_yy_fuel]
type = ScalarStrainAux
variable = strain_yy
scalar_out_of_plane_strain = scalar_out_of_plane_fuel_1
fuel_pin_geometry = pin_geometry
block = fuel
[]
[strain_yy_clad]
type = ScalarStrainAux
variable = strain_yy
scalar_out_of_plane_strain = 'scalar_out_of_plane_clad_1 scalar_out_of_plane_clad_2'
fuel_pin_geometry = pin_geometry
block = clad
[]
[]
[BCs]
[dummy]
type = FunctionDirichletBC
variable = disp_x
boundary = 2
function = dummy_disp
[]
[clad]
type = DirichletBC
variable = disp_x
boundary = 5
value = 0
[]
[fuel]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = disp_x_fuel
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10
poissons_ratio = 0
[]
[strain_fuel]
type = ComputeAxisymmetric1DIncrementalStrain
scalar_out_of_plane_strain = scalar_out_of_plane_fuel_1
subblock_index_provider = pin_geometry
block = fuel
[]
[strain_clad]
type = ComputeAxisymmetric1DIncrementalStrain
scalar_out_of_plane_strain = 'scalar_out_of_plane_clad_1 scalar_out_of_plane_clad_2'
subblock_index_provider = pin_geometry
block = clad
[]
[stress]
type = ComputeStrainIncrementBasedStress
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
mesh_generator = layered1D_mesh
[]
[]
[Postprocessors]
[volume]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 9
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[vol_fuel]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 10
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[vol_clad]
type = LayeredInternalVolumePostprocessor
fuel_pin_geometry = pin_geometry
boundary = 5
out_of_plane_strain = strain_yy
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_abs_tol = 1e-8
end_time = 3
dt = 1
[]
[Outputs]
exodus = true
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_1D_sample1.i)
# Sample at +33 mm from the midplane
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
fuel_height = 10e-3
pellet_outer_radius = 0.0027
pellet_bottom_coor = 0.0
pellet_mesh_density = customize
nx_p = 200
elem_type = EDGE2
slices_per_block = 1
include_plenum = false
include_clad = false
[]
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_clad = false
mesh_generator = layered1D_mesh
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = fuel
[]
[]
[AuxVariables]
[fission_rate]
[]
[burnup]
[]
[pore_speed_aux]
order = constant
family = monomial
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '-200 0 72000 158040 160200 246600 248400 249000.012 251280'
y = '0 0 39137.6 39137.6 43536.4 43536.4 53010.6 53010.6 0'
[]
[f_temp_out_fuel]
type = PiecewiseLinear
x = '-200 0 251280'
y = '295 295 1156'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history
block = fuel
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-12
heating_function = power_history
v_upper = 1e-12
v_lower = 1e-20
block = fuel
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = fuel
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
block = fuel
execute_on = 'initial timestep_end'
[]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = fuel
initial_porosity = 0.1372
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = fuel
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[]
[BCs]
[temp_fuel_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_fuel
boundary = 10
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = fuel
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
[]
[fuel_density]
type = ParsedMaterial
block = fuel
property_name = density
expression = ${initial_fuel_density}
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = fuel
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[bound]
type = BoundingValueNodalDamper
max_value = 1
min_value = 0
variable = pore
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = -200
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = fuel
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = fuel
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = fuel
value_type = min
variable = pore
[]
[max_pore_speed]
type = ElementExtremeValue
block = fuel
value_type = max
variable = pore_speed_aux
[]
[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 = 10e-3 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample]
type = LineValueSampler
variable = temp
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample]
type = LineValueSampler
variable = pore
start_point = '0.0 0.005 0.0'
end_point = '0.0027 0.005 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
[]