- temperatureCoupled temperature
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled temperature
SS316Thermal
Computes thermal properties of stainless steel 316.
Description
SS316Thermal calculates thermal conductivity of 316 stainless steel using, (1) where is temperature in Kelvin, and is in W/m-K.
Specific heat in J/kg-K of 316 stainless steel is calculated using, (2)
Both Eq. (1) and Eq. (2) are fits from Excel of data found in Mills (2002). The derivatives with respect to temperature are also calculated as material properties thermal_conductivity_dT and specific_heat_dT when not using automatic differentiation.
Example Input Syntax
[Materials<<<{"href": "../../syntax/Materials/index.html"}>>>]
[fuel_thermal316]
type = SS316Thermal<<<{"description": "Computes thermal properties of stainless steel 316.", "href": "SS316Thermal.html"}>>>
temperature<<<{"description": "Coupled temperature"}>>> = T
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = all
[]
[]Input Parameters
- base_nameOptional parameter that allows the user to define multiple material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple material systems on the same block, i.e. for multiple phases
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
- specific_heat_scale_factor1Optional scaling factor applied to the overall specific heat.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Optional scaling factor applied to the overall specific heat.
- thermal_conductivity_scale_factor1Optional scaling factor applied to the overall thermal conductivity.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Optional scaling factor applied to the overall thermal conductivity.
Advanced: Scaling Factors Parameters
Input Files
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_new_bubble_gb_lim.i)
- (test/tests/nuclearMaterialUN/ss316_non_action.i)
- (assessment/MOX/JOYO/MK-II/analysis/MK-II_master_old_bubble_gb_lim.i)
- (test/tests/solid_mechanics/SS316_volumetric_swelling/swelling.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_p-15_percent.i)
- (test/tests/solid_mechanics/ss316_elasticity_tensor/thermal_expansion_ss316.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_mechanics.i)
- (assessment/carbide/EBRII/WSA32/analysis/base.i)
- (assessment/MOX/JOYO/MK-II/analysis/MK-II_master_new_bubble_gb_lim.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_mechanics.i)
- (test/tests/ss316_thermal/ad_SS316_thermal_coupled.i)
- (assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_2DRZ_t.i)
- (test/tests/thermalSS316/exact.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_old_bubble_gb_lim.i)
- (assessment/nitride/EBRII/K4/analysis/base.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_old_bubble_gb_lim.i)
- (test/tests/thermalSS316/thermal316_P.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_2DRZ_t.i)
- (test/tests/solid_mechanics/ss316_elasticity_tensor/combined_mechanics_ss316.i)
- (assessment/metallic_fuel/FBTA/analysis/steady_state/common_inputs/ss316_clad_base.i)
- (assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_new_bubble_gb_lim.i)
- (assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_2DRZ_t.i)
- (test/tests/ss316_thermal/exact.i)
- (assessment/nitride/JOYO/JOYO_L4C4/analysis/JOYO_Pin_base.i)
- (assessment/metallic_fuel/EBRII/X423/analysis/x423_lm_base.i)
- (assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_2DRZ_t.i)
- (assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_p-15_percent.i)
- (test/tests/solid_mechanics/ss316_elasticity_tensor/elastic_modulus_ss316.i)
References
- Kenneth C. Mills.
Recommended Values of Thermophysical Properties for Selected Commercial Alloys.
Woodhead Publishing, 2002.
ISBN 978-1-85573-569-9.
URL: http://app.knovel.com/hotlink/toc/id:kpRVTPSCA1/recommended-values-thermophysical/recommended-values-thermophysical.[BibTeX]
@book{mills2002, author = "Mills, Kenneth C.", title = "Recommended Values of Thermophysical Properties for Selected Commercial Alloys", year = "2002", url = "http://app.knovel.com/hotlink/toc/id:kpRVTPSCA1/recommended-values-thermophysical/recommended-values-thermophysical", isbn = "978-1-85573-569-9", publisher = "Woodhead Publishing" }
(test/tests/thermalSS316/thermal316_P.i)
# The temperature is ramped on the edges from 300 K to 1200K over 4 seconds.
#
# Thermal conductivity and specific heat are computed using the SS316Thermal model.
#
# The thermal conductivity and specific heat computed by BISON for the
# temperatures shown below and compared with analytical solution.
#
# The results are as follows:
# Thermal Conductivity Specific Heat
# ------------------------- ---------------------
# Analytical BISON Analytical BISON
# Temp(K) (W/m-K) (W/m-K) J/(kgK) J/(kgK)
# 300 13.799 13.799 482.94 482.94
# 600 19.976 19.976 537.42 537.42
# 900 24.838 24.838 591.9 591.9
# 1200 28.387 28.387 646.38 646.38
[Mesh]
[single_cube]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[Variables]
[T]
initial_condition = 300 # set initial T to 300 K
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = T
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 1.0 2.0 3.0 4.0'
y = '300 300 600 900 1200'
[]
[]
[BCs]
[VariableT]
type = FunctionDirichletBC
boundary = 'left right'
variable = T
function = temp_ramp
[]
[]
[Materials]
[fuel_thermal316]
type = SS316Thermal
temperature = T
outputs = all
[]
[fuel_density]
type = ParsedMaterial
property_name = density
expression = 1200.0
[]
[]
[Executioner]
type = Transient
line_search = 'none'
num_steps = 4
[]
[Postprocessors]
[avg_th_cond]
type = ElementAverageValue
variable = thermal_conductivity
[]
[avg_cp]
type = ElementAverageValue
variable = specific_heat
[]
[average_fuel_T]
type = ElementAverageValue
variable = T
execute_on = 'initial timestep_end'
[]
[thcond_dT]
type = ElementAverageValue
variable = thermal_conductivity_dT
[]
[spheat_dT]
type = ElementAverageValue
variable = specific_heat_dT
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_new_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 38974.7 38974.7'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 1.9e+19 1.9e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 32000 32000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '295 295 295 295 295 295 295 295 593.58 606.36 619.13 630.26 640.87 651.76 662.67 673.67'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
bubble_gb_limit = 1.0e+11
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 25000000
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_75MW_sub_new_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(test/tests/nuclearMaterialUN/ss316_non_action.i)
[Mesh]
[single_cube]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[Kernels]
[clad_heat]
type = ADHeatConduction
block = 0
variable = temperature
[]
[clad_heat_ie]
type = ADHeatConductionTimeDerivative
block = 0
variable = temperature
[]
[]
[Variables]
[temperature]
type = MooseVariable
initial_condition = 300
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 1.0 2.0 3.0 4.0'
y = '300 300 600 900 1200'
[]
[]
[BCs]
[VariableT]
type = FunctionDirichletBC
boundary = 'left right'
variable = temperature
function = temp_ramp
[]
[]
[Materials]
[clad_thermal]
type = ADSS316Thermal
block = 0
outputs = all
temperature = temperature
[]
[clad_density]
type = ADParsedMaterial
block = 0
property_name = density
expression = 8000
[]
[]
[Executioner]
type = Transient
automatic_scaling = true
line_search = 'none'
num_steps = 4
[]
[Postprocessors]
[avg_th_cond]
type = ElementAverageValue
variable = thermal_conductivity
[]
[avg_cp]
type = ElementAverageValue
variable = specific_heat
[]
[average_fuel_T]
type = ElementAverageValue
variable = temperature
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/JOYO/MK-II/analysis/MK-II_master_old_bubble_gb_lim.i)
initial_fuel_density = 10920.4
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.07
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.55
pellet_outer_radius = 0.002315
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000085
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.549
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 10
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 12697021'
y = '0 48827.8 48827.8'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 12697021'
y = '0 2.6e+19 2.6e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12697021'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 12697021'
y = '0 40000 40000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12697021'
z = '295 295 295 295 295 295 295 295 416.36 422.49 428.63 434.27 439.36 444.71 450.07 455.48'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.07
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00463
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10920.4
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-2
fixed_point_rel_tol = 1e-2
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-2
nl_abs_tol = 1e-2
start_time = 0
n_startup_steps = 1
end_time = 12697021
dtmax = 2e5
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.55 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-II_sub_old_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(test/tests/solid_mechanics/SS316_volumetric_swelling/swelling.i)
# Test of volumetric swelling of SS316 alloys (700K).
#
# The model used a fast fluence of 1e28 n/m2, the volumetric
# strain should be 0.591350659. This is easily checked with
# the 'volume' postprocessor value.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[cube]
type = GeneratedMeshGenerator
dim = 3
[]
[]
[Physics/SolidMechanics/QuasiStatic]
temperature = temperature
add_variables = true
strain = FINITE
[all]
eigenstrain_names = 'swell'
[]
[]
[AuxVariables]
[temperature]
order = CONSTANT
family = MONOMIAL
initial_condition = 700.0
[]
[]
[BCs]
[bottom_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[bottom_z]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[]
[]
[Materials]
[fast_flux]
type = FastNeutronFlux
flux_function = 2e19
calculate_fluence = true
outputs = all
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.0
poissons_ratio = 0.3
[]
[clad_swelling]
type = SS316VolumetricSwellingEigenstrain
temperature = temperature
eigenstrain_name = swell
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
outputs = all
[]
[clad_stress]
type = ComputeFiniteStrainElasticStress
[]
[thermal]
type = SS316Thermal
temperature = temperature
[]
[density]
type = StrainAdjustedDensity
strain_free_density = 7225.0
[]
[]
[Executioner]
type = Transient
nl_rel_tol = 1e-3
nl_abs_tol = 1e-4
start_time = 0.0
dt = 1000000
end_time = 5e8
[]
[Postprocessors]
[volume]
type = InternalVolume
boundary = 'left right bottom top back front'
execute_on = 'initial linear'
[]
[ave_fluence]
type = ElementAverageValue
variable = fast_neutron_fluence
[]
[]
[Outputs]
[out]
type = Exodus
time_step_interval = 50
[]
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_p-15_percent.i)
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube.e
[]
[]
[Variables]
[temp]
initial_condition = 295
[]
[pore]
initial_condition = 0.143
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power-15%.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251280'
y = '600 882 882 600'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 2
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 10964.6
block = 1
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251280
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5# half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp pore'
[]
(test/tests/solid_mechanics/ss316_elasticity_tensor/thermal_expansion_ss316.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the thermal expansion behavior of
# SS316. The temperature is changed in increments to match the ASME table of
# values. The thermal strain is calculated in the spreadsheet within this
# directory and the results are copied below.
#
# - Geometry:
# Ri = 0.005 m
# Ro = 0.0055 m
# H = 0.01 m
#
# - Single element
#
# - Temperature = 294.26 - 1088.71 K
# (This represents the range of data from the ASME table used in BISON)
#
# - Boundary conditions:
# T specified over entire domain as a function of time to match ASME table
#
# - Result (Hand calc.):
# Temp (K) Thermal Strain
# 310.93 2.5800E-04
# 338.71 7.0400E-04
# 366.48 1.1570E-03
# 394.26 1.6380E-03
# 422.04 2.1160E-03
# 449.82 2.6320E-03
# 477.59 3.1350E-03
# 505.37 3.6480E-03
# 533.15 4.1710E-03
# 560.93 4.7040E-03
# 588.71 5.2470E-03
# 616.48 5.7420E-03
# 644.26 6.3000E-03
# 672.04 6.8000E-03
# 699.82 7.3730E-03
# 727.59 7.9560E-03
# 755.37 8.4660E-03
# 783.15 9.0640E-03
# 810.93 9.5790E-03
# 838.71 1.0192E-02
# 866.48 1.0712E-02
# 894.26 1.1340E-02
# 922.04 1.1978E-02
# 949.82 1.2508E-02
# 977.59 1.3161E-02
# 1005.37 1.3696E-02
# 1033.15 1.4364E-02
# 1060.93 1.4904E-02
# 1088.71 1.5444E-02
#
# The thermal expansion data was obtained from the ASME B&PV Code 2010,
# Section II Part D. 16Cr-12Ni-2Mo (Group 3).
#
#--------------------------------------------------------------------------------
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
volumetric_locking_correction = true
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
elem_type = QUAD4
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 294.26
[]
[]
[AuxVariables]
[elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
15 16 17 18 19 20 21 22 23 24 25 26 27 28 29'
y = '294.26 310.93 338.71 366.48 394.26 422.04 449.82 477.59 505.37 533.15
560.93 588.71 616.48 644.26 672.04 699.82 727.59 755.37 783.15 810.93
838.71 866.48 894.26 922.04 949.82 977.59 1005.37 1033.15 1060.93 1088.71'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
eigenstrain_names = thermal_expansion
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[elastic_strain_yy]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[elastic_strain_xx]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[elastic_strain_zz]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
variable = temperature
boundary = 'left right top bottom'
function = temperature_function
[]
[]
[Materials]
[elasticity_tensor]
type = SS316ElasticityTensor
temperature = temperature
block = 0
elastic_constants_model = legacy_ifr
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
stress_free_temperature = 294.26
temperature = temperature
eigenstrain_name = thermal_expansion
block = 0
[]
[clad_density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 7874
[]
[thermal]
type = SS316Thermal
block = 0
temperature = temperature
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 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
end_time = 29.0
dt = 1.0
[]
[Postprocessors]
[elastic_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
[]
[total_strain_xx]
type = ElementAverageValue
variable = total_strain_xx
[]
[total_strain_yy]
type = ElementAverageValue
variable = total_strain_yy
[]
[total_strain_zz]
type = ElementAverageValue
variable = total_strain_zz
[]
[thermal_strain_xx]
type = DifferencePostprocessor
value1 = total_strain_xx
value2 = elastic_strain_xx
[]
[thermal_strain_yy]
type = DifferencePostprocessor
value1 = total_strain_yy
value2 = elastic_strain_yy
[]
[thermal_strain_zz]
type = DifferencePostprocessor
value1 = total_strain_zz
value2 = elastic_strain_zz
[]
[temperature]
type = AverageNodalVariableValue
variable = temperature
execute_on = 'initial timestep_end'
[]
[disp_x3]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_y3]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[]
[Outputs]
csv = true
[out]
type = Exodus
[]
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_mechanics.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube_mech.e
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[pore]
initial_condition = 0.143
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable]
order = first
family = lagrange
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251380'
y = '600 882 882 600'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = 2
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = '4'
value = 0.0
[]
[no_x_clad]
type = DirichletBC
variable = disp_x
boundary = '5'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 7
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 6
value = 0.0
[]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 2
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 10964.6
block = 1
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = 1
[]
[elastic_stress_fuel]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = 1
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2
eigenstrain_name = fuel_thermal_strain
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = 2
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = 2
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[elastic_stress_clad]
type = ComputeFiniteStrainElasticStress
block = 2
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251380
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5 # half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'disp_x disp_y temp pore'
[]
(assessment/carbide/EBRII/WSA32/analysis/base.i)
initial_fuel_density = 13630.0
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
value_range_behavior = IGNORE
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = 0.508e-3
pellet_outer_radius = 4.301e-3
pellet_height = 343e-3
clad_top_gap_height = 43.5e-3
clad_gap_width = 0.145e-3
bottom_clad_height = 8e-3
top_clad_height = 8e-3
clad_bot_gap_height = 0.2e-3 # unknown
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = 3
ny_cl = 3
pellet_quantity = 1
elem_type = QUAD8
[]
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 350
[]
[]
[AuxVariables]
[contact_pressure]
[]
[layered_side_contact_pressure]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[pellet_wall_temp]
order = CONSTANT
family = MONOMIAL
[]
[radial_heat_flux]
order = CONSTANT
family = MONOMIAL
[]
[clad_inner_wall_temp]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 70e6 70100000' # unknown, final burnup was 12.2 %
y = '0 1 1 0'
[]
[axial_peaking_factors]
type = PiecewiseLinear
axis = y
x = '0 46e-3 111e-3 200e-3 248e-3 313e-3 352e-3'
y = '86e3 86e3 97e3 100e3 96e3 87e3 87e3'
[]
[fission_func]
type = ParsedFunction
symbol_names = 'axial_peaking_factors power_history'
symbol_values = 'axial_peaking_factors power_history'
expression = 'linear_heating_rate := axial_peaking_factors * power_history;
pellet_cross_sectional_area := 3.14159 * pow( 4.301e-3, 2 );
volumetric_power := linear_heating_rate / pellet_cross_sectional_area;
energy_per_fission := 3.2e-11;
volumetric_power / energy_per_fission'
[]
[burnup_func] # Burnup func is needed because BurnupAux doesn't currentl export an ADMaterialProperty.
type = PiecewiseLinear
x = '0 1e5 70e6 70100000'
y = '0 0 0.122 0.122'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 70100000'
y = '0.151e6 0.151e6' # unknown, Na coolant
[]
[coolant_inlet_temp]
type = PiecewiseLinear
x = '0 1e5 70e6 70100000'
y = '350 644 644 350'
[]
[coolant_outlet_temp]
type = PiecewiseLinear
x = '0 1e5 70e6 70100000'
y = '350 746 746 350'
[]
[coolant_wall_temp]
type = ParsedFunction
symbol_values = 'coolant_inlet_temp coolant_outlet_temp'
symbol_names = 'coolant_inlet_temp coolant_outlet_temp'
expression = 'rod_length := 343e-3 + 43.5e-3 + 2 * 8e-3;
delta_temp := coolant_outlet_temp - coolant_inlet_temp;
interpolated_temp := coolant_inlet_temp + y * delta_temp / rod_length;
max( min( interpolated_temp, coolant_outlet_temp ), coolant_inlet_temp )'
[]
[radial_heat_flux]
type = ParsedFunction
symbol_values = 'coolant_wall_temp power_history axial_peaking_factors'
symbol_names = 'coolant_wall_temp power_history axial_peaking_factors'
expression = 'linear_heating_rate := axial_peaking_factors * power_history;
pellet_radius := 4.301e-3;
pellet_circumference := 3.14159 * pellet_radius * 2;
linear_heating_rate / pellet_circumference'
[]
[clad_inner_wall_temp]
type = ParsedFunction
symbol_values = 'radial_heat_flux coolant_wall_temp'
symbol_names = 'radial_heat_flux coolant_wall_temp'
expression = 'conductivity_316ss := 22;
clad_thickness := 0.51e-3;
coolant_wall_temp + radial_heat_flux / conductivity_316ss * clad_thickness'
[]
[pellet_wall_temp]
type = ParsedFunction
symbol_values = 'radial_heat_flux coolant_wall_temp clad_inner_wall_temp'
symbol_names = 'radial_heat_flux coolant_wall_temp clad_inner_wall_temp'
expression = 'conductivity_gap := 1;
gap_thickness := 0.145e-3;
clad_inner_wall_temp + radial_heat_flux / conductivity_gap * gap_thickness'
[]
[contact_pressure_func]
type = ConstantFunction
value = 12e6
[]
[plenum_pressure]
type = ConstantFunction
value = 12.4e6 # initial fill
[]
[porosity_ramp]
type = PiecewiseLinear
x = '0 1e5 70e6 70100000'
y = '0.14 0.14 0.145 0.145' # Pellets start at 88.1% TD, but no data on final porosity.
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
strain = SMALL
incremental = true
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_expansion fuel_swelling'
use_automatic_differentiation = true
[]
[clad]
block = clad
strain = SMALL
incremental = true
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[contact_pressure_aux]
type = FunctionAux
variable = contact_pressure
function = contact_pressure_func
[]
[layered_side_contact_pressure]
type = SpatialUserObjectAux
variable = layered_side_contact_pressure
user_object = layered_side_contact_pressure
block = pellet
[]
[pellet_wall_temp]
type = FunctionAux
variable = pellet_wall_temp
function = pellet_wall_temp
[]
[radial_heat_flux]
type = FunctionAux
variable = radial_heat_flux
function = radial_heat_flux
[]
[clad_inner_wall_temp]
type = FunctionAux
variable = clad_inner_wall_temp
function = clad_inner_wall_temp
[]
[volumetric_strain]
type = ADRankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[plenumPressure]
boundary = 9
function = plenum_pressure
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
function = coolant_wall_temp
variable = temp
[]
[pellet_to_clad_cooling]
type = FunctionDirichletBC
boundary = 10
function = pellet_wall_temp
variable = temp
[]
[]
[Materials]
[fission]
type = ADGenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_func
outputs = all
[]
[burnup]
type = ADGenericFunctionMaterial
block = pellet
prop_names = burnup
prop_values = burnup_func
outputs = all
[]
[fuel_thermal]
block = pellet
type = ADMCThermal
temperature = temp
porosity = porosity
X_Pu = 0.0
outputs = all
[]
[fuel_porosity]
block = pellet
type = ADGenericFunctionMaterial
prop_names = porosity
prop_values = porosity_ramp
outputs = all
[]
[fuel_elasticity_tensor]
block = pellet
type = ADMCElasticityTensor
temperature = temp
porosity = porosity
output_properties = 'youngs_modulus poissons_ratio'
outputs = all
[]
[fuel_thermal_expansion]
block = pellet
type = ADMCThermalExpansionEigenstrain
eigenstrain_name = fuel_thermal_expansion
stress_free_temperature = 350
temperature = temp
[]
[fuel_creep]
block = pellet
type = ADMCCreepUpdate
temperature = temp
fission_rate = fission_rate
outputs = all
[]
[fuel_swelling]
block = pellet
type = ADMCVolumetricSwellingEigenstrain
eigenstrain_name = fuel_swelling
temperature = temp
porosity = porosity
contact_pressure = layered_side_contact_pressure
burnup = burnup
outputs = all
[]
[fuel_radial_return_stress]
block = pellet
type = ADComputeMultipleInelasticStress
inelastic_models = 'fuel_creep'
[]
[fuel_density]
block = pellet
type = ADStrainAdjustedDensity
strain_free_density = ${initial_fuel_density}
[]
[clad_elasticity_tensor]
block = clad
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 190e9
poissons_ratio = 0.265
[]
[clad_stress]
block = clad
type = ADComputeLinearElasticStress
[]
[clad_thermal]
block = clad
type = ADSS316Thermal
temperature = temp
[]
[clad_density]
block = clad
type = ADStrainAdjustedDensity
strain_free_density = 8000
[]
[]
[UserObjects]
[layered_side_contact_pressure]
# This reads the contact pressure at the pellet OD and propagates it inward so that it can
# be used in ADMCVolumetricSwellingEigenstrain for inner elements as well.
type = LayeredSideAverage
direction = y
num_layers = 100
variable = contact_pressure
execute_on = linear
boundary = 10
[]
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 70100000
dtmin = 1
dtmax = 2e6
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
time_t = ' 0 1e5 70e6 70100000'
time_dt = '1e2 1e2 1e2 1e2'
optimal_iterations = 10
growth_factor = 2
cutback_factor = 0.5
iteration_window = 1
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[burnup]
block = pellet
type = ADElementAverageMaterialProperty
mat_prop = burnup
[]
[FCT]
type = NodalExtremeValue
boundary = 12
variable = temp
execute_on = 'initial timestep_end'
[]
[volumetric_strain]
type = ElementAverageValue
block = pellet
variable = volumetric_strain
[]
[pellet_outer_disp_x]
type = NodalExtremeValue
boundary = 10
variable = disp_x
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
color = true
exodus = true
perf_graph = true
csv = true
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[chkfile]
type = CSV
hide = 'num_nonlin_it num_lin_it _dt'
[]
[]
(assessment/MOX/JOYO/MK-II/analysis/MK-II_master_new_bubble_gb_lim.i)
initial_fuel_density = 10920.4
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.07
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.55
pellet_outer_radius = 0.002315
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000085
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.549
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 10
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 12970000'
y = '0 48827.8 48827.8'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 12970000'
y = '0 2.6e+19 2.6e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12970000'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 12970000'
y = '0 40000 40000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.065 0.134 0.202 0.271 0.339 0.406 0.519'
y = '0 12970000'
z = '295 295 295 295 295 295 295 295 416.36 422.49 428.63 434.27 439.36 444.71 450.07 455.48'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.07
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00463
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10920.4
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6
bubble_gb_limit = 1.0e+11
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 12970000
dtmax = 5e5
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.55 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-II_sub_new_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_mechanics.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube_mech.e
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251380'
y = '600 882.81 882.81 600'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[clad]
block = 2
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
use_finite_deform_jacobian = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[no_x_fuel]
type = DirichletBC
variable = disp_x
boundary = '4'
value = 0.0
[]
[no_x_clad]
type = DirichletBC
variable = disp_x
boundary = '5'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 7
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 6
value = 0.0
[]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 1.98
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 11057.75
block = 1
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = 1
[]
[elastic_stress_fuel]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = 1
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = 2
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = 2
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[elastic_stress_clad]
type = ComputeFiniteStrainElasticStress
block = 2
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251380
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5 # half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'disp_x disp_y temp pore'
[]
(test/tests/ss316_thermal/ad_SS316_thermal_coupled.i)
# The temperature is ramped on the edges from 300 K to 1200K over 4 seconds.
#
# Thermal conductivity and specific heat are computed using the ADSS316Thermal model.
#
# The thermal conductivity and specific heat computed by BISON for the
# temperatures shown below and compared with analytical solution.
#
# The results are as follows:
# Thermal Conductivity Specific Heat
# ------------------------- ---------------------
# Analytical BISON Analytical BISON
# Temp(K) (W/m-K) (W/m-K) J/(kgK) J/(kgK)
# 300 13.799 13.799 482.94 482.94
# 600 19.976 19.976 537.42 537.42
# 900 24.838 24.838 591.9 591.9
# 1200 28.387 28.387 646.38 646.38
[Mesh]
[single_cube]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[Variables]
[T]
initial_condition = 300
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = T
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = T
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 1.0 2.0 3.0 4.0'
y = '300 300 600 900 1200'
[]
[]
[BCs]
[VariableT]
type = FunctionDirichletBC
boundary = 'left right'
variable = T
function = temp_ramp
[]
[]
[Materials]
[fuel_thermal316]
type = ADSS316Thermal
temperature = T
outputs = all
[]
[density]
type = ADGenericConstantMaterial
prop_names = 'density'
prop_values = 1200.0
[]
[]
[Executioner]
type = Transient
automatic_scaling = true
line_search = 'none'
num_steps = 4
[]
[Postprocessors]
[avg_th_cond]
type = ElementAverageValue
variable = thermal_conductivity
[]
[avg_cp]
type = ElementAverageValue
variable = specific_heat
[]
[average_fuel_T]
type = ElementAverageValue
variable = T
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/JOYO/B14/PTM001/analysis/b14_ptm001_2DRZ_t.i)
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.00008
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.1372
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 14e-06 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
# variable = temp
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm001_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/thermalSS316/exact.i)
# This tests compares the hand calcualtions for thermal conductivity and
# specific heat for 316 stainless steel.
[Problem]
solve = false
[]
[Mesh]
[single_cube]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[AuxVariables]
[T]
initial_condition = 300
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 1.0 2.0 3.0 4.0'
y = '300 300 600 900 1200'
[]
[]
[AuxKernels]
[heat_ie]
type = FunctionAux
variable = T
function = temp_ramp
[]
[]
[Materials]
[fuel_thermal316]
type = SS316Thermal
temperature = T
outputs = all
[]
[]
[Executioner]
type = Transient
line_search = 'none'
num_steps = 4
[]
[Postprocessors]
[avg_th_cond]
type = ElementAverageValue
variable = thermal_conductivity
[]
[avg_cp]
type = ElementAverageValue
variable = specific_heat
[]
[average_fuel_T]
type = ElementAverageValue
variable = T
execute_on = 'initial timestep_end'
[]
[thcond_dT]
type = ElementAverageValue
variable = thermal_conductivity_dT
[]
[spheat_dT]
type = ElementAverageValue
variable = specific_heat_dT
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_75MW_master_old_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 38974.7 38974.7'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 1.9e+19 1.9e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 25000000'
y = '0 32000 32000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 25000000'
z = '295 295 295 295 295 295 295 295 593.58 606.36 619.13 630.26 640.87 651.76 662.67 673.67'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 25000000
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_75MW_sub_old_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(assessment/nitride/EBRII/K4/analysis/base.i)
density = 13630.0
A_U = 0.238
A_Pu = 0.239
A_N = 0.014
X_Pu = 0.1
X_N = 0.5
avo = 6.0221408e23
M_avg = '${fparse X_N * A_N + X_Pu * A_Pu + (1.0 - X_N - X_Pu) * A_U}'
atoms = '${fparse density / M_avg * (1.0 - X_N) * avo}'
[GlobalParams]
density = ${density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = 0.51e-3
pellet_outer_radius = 3.1e-3
pellet_height = 343e-3
clad_top_gap_height = 43.5e-3
clad_gap_width = 0.325e-3
bottom_clad_height = 8e-3
top_clad_height = 8e-3
clad_bot_gap_height = 0.2e-3 # unknown
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = 3
ny_cl = 3
pellet_quantity = 1
elem_type = QUAD8
[]
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 350
[]
[]
[AuxVariables]
[pellet_wall_temp]
order = CONSTANT
family = MONOMIAL
[]
[radial_heat_flux]
order = CONSTANT
family = MONOMIAL
[]
[clad_inner_wall_temp]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5 35e6 35100000' # unknown, final burnup was 9.6 %
y = '0 1 1 0'
[]
[axial_peaking_factors]
type = PiecewiseLinear
axis = y
x = '0 46e-3 111e-3 200e-3 248e-3 313e-3 352e-3'
y = '73e3 73e3 82e3 85e3 82e3 74e3 74e3'
[]
[fission_func]
type = ParsedFunction
symbol_names = 'axial_peaking_factors power_history'
symbol_values = 'axial_peaking_factors power_history'
expression = 'linear_heating_rate := axial_peaking_factors * power_history;
pellet_cross_sectional_area := 3.14159 * pow( 3.1e-3, 2 );
volumetric_power := linear_heating_rate / pellet_cross_sectional_area;
energy_per_fission := 3.2e-11;
volumetric_power / energy_per_fission'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 35100000'
y = '0.151e6 0.151e6' # unknown, Na coolant
[]
[coolant_inlet_temp]
type = PiecewiseLinear
x = '0 1e5 35e6 35100000'
y = '350 644 644 350'
[]
[coolant_outlet_temp]
type = PiecewiseLinear
x = '0 1e5 35e6 35100000'
y = '350 746 746 350'
[]
[coolant_wall_temp]
type = ParsedFunction
symbol_values = 'coolant_inlet_temp coolant_outlet_temp'
symbol_names = 'coolant_inlet_temp coolant_outlet_temp'
expression = 'rod_length := 343e-3 + 43.5e-3 + 2 * 8e-3;
delta_temp := coolant_outlet_temp - coolant_inlet_temp;
interpolated_temp := coolant_inlet_temp + y * delta_temp / rod_length;
max( min( interpolated_temp, coolant_outlet_temp ), coolant_inlet_temp )'
[]
[radial_heat_flux]
type = ParsedFunction
symbol_values = 'coolant_wall_temp power_history axial_peaking_factors'
symbol_names = 'coolant_wall_temp power_history axial_peaking_factors'
expression = 'linear_heating_rate := axial_peaking_factors * power_history;
pellet_radius := 3.1e-3;
pellet_circumference := 3.14159 * pellet_radius * 2;
linear_heating_rate / pellet_circumference'
[]
[clad_inner_wall_temp]
type = ParsedFunction
symbol_values = 'radial_heat_flux coolant_wall_temp'
symbol_names = 'radial_heat_flux coolant_wall_temp'
expression = 'conductivity_316ss := 22;
clad_thickness := 0.51e-3;
coolant_wall_temp + radial_heat_flux / conductivity_316ss * clad_thickness'
[]
[pellet_wall_temp]
type = ParsedFunction
symbol_values = 'radial_heat_flux coolant_wall_temp clad_inner_wall_temp'
symbol_names = 'radial_heat_flux coolant_wall_temp clad_inner_wall_temp'
expression = 'conductivity_gap := 100;
gap_thickness := 0.325e-3;
clad_inner_wall_temp + radial_heat_flux / conductivity_gap * gap_thickness'
[]
[plenum_pressure]
type = ConstantFunction
value = 12.4e6 # initial fill
[]
[porosity_ramp]
type = PiecewiseLinear
x = '0 1e5 35e6 35100000'
y = '0.03 0.03 0.05 0.05' # Pellets start at 96.8% TD, but no data on final porosity.
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
strain = SMALL
incremental = true
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_expansion fuel_swelling'
use_automatic_differentiation = true
[]
[clad]
block = clad
strain = SMALL
incremental = true
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[pellet_wall_temp]
type = FunctionAux
variable = pellet_wall_temp
function = pellet_wall_temp
[]
[radial_heat_flux]
type = FunctionAux
variable = radial_heat_flux
function = radial_heat_flux
[]
[clad_inner_wall_temp]
type = FunctionAux
variable = clad_inner_wall_temp
function = clad_inner_wall_temp
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_press_ramp
[]
[plenumPressure]
boundary = 9
function = plenum_pressure
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
function = coolant_wall_temp
variable = temp
[]
[pellet_to_clad_cooling]
type = FunctionDirichletBC
boundary = 10
function = pellet_wall_temp
variable = temp
[]
[]
[Materials]
[fission]
type = ADGenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_func
outputs = all
[]
[fuel_thermal]
block = pellet
type = ADMNThermal
temperature = temp
porosity = porosity
outputs = all
[]
[fuel_porosity]
block = pellet
type = ADGenericFunctionMaterial
prop_names = porosity
prop_values = porosity_ramp
outputs = all
[]
[fuel_elasticity_tensor]
block = pellet
type = ADMNElasticityTensor
temperature = temp
porosity = porosity
output_properties = 'youngs_modulus poissons_ratio'
outputs = all
[]
[fuel_thermal_expansion]
block = pellet
type = ADMNThermalExpansionEigenstrain
eigenstrain_name = fuel_thermal_expansion
stress_free_temperature = 350
temperature = temp
[]
[fuel_creep]
block = pellet
type = ADMNCreepUpdate
temperature = temp
porosity = porosity
fission_rate = fission_rate
outputs = all
[]
[burnup]
type = ADBurnup
block = pellet
atoms_heavy_metal_per_volume = ${atoms}
outputs = all
[]
[fuel_swelling]
block = pellet
type = ADMNVolumetricSwellingEigenstrain
eigenstrain_name = fuel_swelling
temperature = temp
initial_porosity = 0.03
burnup = burnup
outputs = all
[]
[fuel_radial_return_stress]
block = pellet
type = ADComputeMultipleInelasticStress
inelastic_models = 'fuel_creep'
[]
[fuel_density]
block = pellet
type = ADStrainAdjustedDensity
strain_free_density = ${density}
[]
[clad_elasticity_tensor]
block = clad
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 190e9
poissons_ratio = 0.265
[]
[clad_stress]
block = clad
type = ADComputeLinearElasticStress
[]
[clad_thermal]
block = clad
type = ADSS316Thermal
temperature = temp
[]
[clad_density]
block = clad
type = ADStrainAdjustedDensity
strain_free_density = 8000
[]
[]
[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 -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 35100000
dtmin = 1
dtmax = 2e6
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
time_t = ' 0 1e5 35e6 35100000'
time_dt = '1e2 1e2 1e2 1e2'
optimal_iterations = 10
growth_factor = 2
cutback_factor = 0.5
iteration_window = 1
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[peak_burnup]
type = ElementExtremeValue
block = pellet
value_type = max
variable = burnup
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[]
[PerformanceMetricOutputs]
outputs = performance_metrics
[]
[Outputs]
color = true
exodus = true
perf_graph = true
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
[]
[out]
type = CSV
show = 'peak_burnup'
[]
[performance_metrics]
type = CSV
show = 'peak_burnup num_lin_it num_nonlin_it alive_time'
[]
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_old_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 25577 25577'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 1.2e+19 1.2e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 17153028'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 21000 21000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.075 0.15 0.225 0.3 0.375 0.45 0.525 0.6'
y = '0 17153028'
z = '295 295 295 295 295 295 295 295 295 499.9 509.1 517.8 525.42 532.71 540.29 547.7 552.3 554.81'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 17153028
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_50MW_sub_old_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(test/tests/thermalSS316/thermal316_P.i)
# The temperature is ramped on the edges from 300 K to 1200K over 4 seconds.
#
# Thermal conductivity and specific heat are computed using the SS316Thermal model.
#
# The thermal conductivity and specific heat computed by BISON for the
# temperatures shown below and compared with analytical solution.
#
# The results are as follows:
# Thermal Conductivity Specific Heat
# ------------------------- ---------------------
# Analytical BISON Analytical BISON
# Temp(K) (W/m-K) (W/m-K) J/(kgK) J/(kgK)
# 300 13.799 13.799 482.94 482.94
# 600 19.976 19.976 537.42 537.42
# 900 24.838 24.838 591.9 591.9
# 1200 28.387 28.387 646.38 646.38
[Mesh]
[single_cube]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[Variables]
[T]
initial_condition = 300 # set initial T to 300 K
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = T
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = T
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 1.0 2.0 3.0 4.0'
y = '300 300 600 900 1200'
[]
[]
[BCs]
[VariableT]
type = FunctionDirichletBC
boundary = 'left right'
variable = T
function = temp_ramp
[]
[]
[Materials]
[fuel_thermal316]
type = SS316Thermal
temperature = T
outputs = all
[]
[fuel_density]
type = ParsedMaterial
property_name = density
expression = 1200.0
[]
[]
[Executioner]
type = Transient
line_search = 'none'
num_steps = 4
[]
[Postprocessors]
[avg_th_cond]
type = ElementAverageValue
variable = thermal_conductivity
[]
[avg_cp]
type = ElementAverageValue
variable = specific_heat
[]
[average_fuel_T]
type = ElementAverageValue
variable = T
execute_on = 'initial timestep_end'
[]
[thcond_dT]
type = ElementAverageValue
variable = thermal_conductivity_dT
[]
[spheat_dT]
type = ElementAverageValue
variable = specific_heat_dT
[]
[]
[Outputs]
csv = true
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_2DRZ_t.i)
initial_fuel_density = 11057.75
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.002675
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000105
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.1372
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.982
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 11057.75
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 12e-06
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm002_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/solid_mechanics/ss316_elasticity_tensor/combined_mechanics_ss316.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the combined thermal and mechanical
# behavior of SS316. The 2D RZ cladding section model is loaded axially
# with a pressure while the temperature is varied over the complete range of
# values from the ASME code table.
#
# - Geometry:
# Ri = 0.005 m
# Ro = 0.0055 m
# H = 0.01 m
#
# - Single element
#
# - Temperature = 294.26 - 1088.71 K
#
# - Boundary conditions:
# axial stress = -100 MPa at the top
#
# - Result (Hand calc.):
#
# Temp (K) Elastic Strain Thermal Strain Total Strain
# 310.93 -5.1562E-04 2.5800E-04 -2.5762E-04
# 338.71 -5.2090E-04 7.0400E-04 1.8310E-04
# 366.48 -5.2629E-04 1.1570E-03 6.3071E-04
# 394.26 -5.3179E-04 1.6380E-03 1.1062E-03
# 422.04 -5.3741E-04 2.1160E-03 1.5786E-03
# 449.82 -5.4315E-04 2.6320E-03 2.0889E-03
# 477.59 -5.4901E-04 3.1350E-03 2.5860E-03
# 505.37 -5.5500E-04 3.6480E-03 3.0930E-03
# 533.15 -5.6112E-04 4.1710E-03 3.6099E-03
# 560.93 -5.6738E-04 4.7040E-03 4.1366E-03
# 588.71 -5.7378E-04 5.2470E-03 4.6732E-03
# 616.48 -5.8033E-04 5.7420E-03 5.1617E-03
# 644.26 -5.8703E-04 6.3000E-03 5.7130E-03
# 672.04 -5.9388E-04 6.8000E-03 6.2061E-03
# 699.82 -6.0090E-04 7.3730E-03 6.7721E-03
# 727.59 -6.0808E-04 7.9560E-03 7.3479E-03
# 755.37 -6.1544E-04 8.4660E-03 7.8506E-03
# 783.15 -6.2297E-04 9.0640E-03 8.4410E-03
# 810.93 -6.3070E-04 9.5790E-03 8.9483E-03
# 838.71 -6.3862E-04 1.0192E-02 9.5534E-03
# 866.48 -6.4674E-04 1.0712E-02 1.0065E-02
# 894.26 -6.5506E-04 1.1340E-02 1.0685E-02
# 922.04 -6.6361E-04 1.1978E-02 1.1314E-02
# 949.82 -6.7238E-04 1.2508E-02 1.1836E-02
# 977.59 -6.8139E-04 1.3161E-02 1.2480E-02
# 1005.37 -6.9064E-04 1.3696E-02 1.3005E-02
# 1033.15 -7.0015E-04 1.4364E-02 1.3664E-02
# 1060.93 -7.0992E-04 1.4904E-02 1.4194E-02
# 1088.71 -7.1997E-04 1.5444E-02 1.4724E-02
#
#--------------------------------------------------------------------------------
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
volumetric_locking_correction = true
temperature = temperature
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
elem_type = QUAD4
[]
[]
[Variables]
[temperature]
initial_condition = 294.26
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = FINITE
block = 0
incremental = true
add_variables = true
eigenstrain_names = 'thermal_eigenstrain'
generate_output = 'stress_yy elastic_strain_xx elastic_strain_yy
elastic_strain_zz strain_xx strain_yy strain_zz'
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
15 16 17 18 19 20 21 22 23 24 25 26 27 28 29'
y = '294.26 310.93 338.71 366.48 394.26 422.04 449.82 477.59 505.37 533.15
560.93 588.71 616.48 644.26 672.04 699.82 727.59 755.37 783.15 810.93
838.71 866.48 894.26 922.04 949.82 977.59 1005.37 1033.15 1060.93 1088.71'
[]
[pressure_function]
type = PiecewiseLinear
x = '0 1 2'
y = '1 1 1'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[BCs]
[Pressure]
[top_surface]
boundary = 'top'
factor = 100e6
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
variable = temperature
boundary = 'left right top bottom'
function = temperature_function
[]
[]
[Materials]
[elasticity_tensor]
type = SS316ElasticityTensor
block = 0
elastic_constants_model = legacy_ifr
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
stress_free_temperature = 294.26
eigenstrain_name = thermal_eigenstrain
block = 0
[]
[clad_density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 7874
[]
[thermal]
type = SS316Thermal
block = 0
[]
[]
[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-6
l_tol = 1e-5
start_time = 0.0
end_time = 29.0
dt = 1
[]
[Postprocessors]
[elastic_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[total_strain_xx]
type = ElementAverageValue
variable = strain_xx
[]
[total_strain_yy]
type = ElementAverageValue
variable = strain_yy
[]
[total_strain_zz]
type = ElementAverageValue
variable = strain_zz
[]
[temperature]
type = AverageNodalVariableValue
variable = temperature
execute_on = 'initial timestep_end'
[]
[thermal_strain_xx]
type = DifferencePostprocessor
value1 = total_strain_xx
value2 = elastic_strain_xx
[]
[thermal_strain_yy]
type = DifferencePostprocessor
value1 = total_strain_yy
value2 = elastic_strain_yy
[]
[thermal_strain_zz]
type = DifferencePostprocessor
value1 = total_strain_zz
value2 = elastic_strain_zz
[]
[disp_x3]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_y3]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[]
[Outputs]
csv = true
[out]
type = Exodus
[]
[]
(assessment/metallic_fuel/FBTA/analysis/steady_state/common_inputs/ss316_clad_base.i)
# SS316 Cladding
clad_density = 7980.0 # SS316 RT Density (same as D9)
[Physics/SolidMechanics/QuasiStatic]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = '${cladding_block}'
eigenstrain_names = 'cladding_thermal_eigenstrain clad_swelling'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Materials]
[clad_elasticity_tensor]
type = ADSS316ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = ${cladding_block}
elastic_constants_model = legacy_ifr
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
# tangent_operator = nonlinear
inelastic_models = 'clad_creep'
block = ${cladding_block}
[]
[clad_creep]
type = ADSS316CreepUpdate
block = ${cladding_block}
temperature = temp
fast_neutron_flux = fast_neutron_flux
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[thermal_expansion]
type = ADSS316ThermalExpansionEigenstrain
block = ${cladding_block}
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[clad_swelling]
type = ADSS316VolumetricSwellingEigenstrain
eigenstrain_name = clad_swelling
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
temperature = temp
outputs = all
block = ${cladding_block}
[]
[clad_thermal]
type = ADSS316Thermal
block = ${cladding_block}
temperature = temp
[]
[clad_density]
type = ADStrainAdjustedDensity
block = ${cladding_block}
strain_free_density = ${clad_density}
[]
[clad_failure]
type = D9FailureClad
block = ${cladding_block}
method = steady_state
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = flux_ss316
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = SS316
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
(assessment/MOX/JOYO/MK-I/analysis/MK-I_50MW_master_new_bubble_gb_lim.i)
initial_fuel_density = 10836.8
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.065
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.6
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000100
clad_thickness = 0.00035
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.599
elem_type = QUAD8
nx_c = 4
ny_c = 200
nx_p = 20
ny_p = 200
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
block = pellet
[]
[burnup]
block = pellet
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[atm_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vcn_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[vol_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 25577 25577'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 1.2e+19 1.2e+19'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0 0.071 0.146 0.221 0.296 0.37 0.443 0.566'
y = '0 17153028'
z = '0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672 0.889 1.041 1.152 1.173 1.129 0.971 0.782 0.672'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = '0 70000 17153028'
y = '0 21000 21000'
[]
[clad_surface_temp]
type = PiecewiseBilinear
x = '0 0.075 0.15 0.225 0.3 0.375 0.45 0.525 0.6'
y = '0 17153028'
z = '295 295 295 295 295 295 295 295 295 499.9 509.1 517.8 525.42 532.71 540.29 547.7 552.3 554.81'
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.065
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
execute_on = timestep_end
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
execute_on = timestep_end
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
execute_on = timestep_end
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
execute_on = timestep_end
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
execute_on = timestep_end
[]
[nvcn2]
type = MaterialRealAux
variable = vcn_bdr_2
property = vacancy_concentration_GB_surface
execute_on = timestep_end
[]
[atmbbl]
type = MaterialRealAux
variable = atm_bbl_bdr
property = atom_per_bubble_GB
execute_on = timestep_end
[]
[vcnbbl]
type = MaterialRealAux
variable = vcn_bbl_bdr
property = vacancy_per_bubble_GB
execute_on = timestep_end
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
execute_on = timestep_end
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
execute_on = timestep_end
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
execute_on = timestep_end
[]
[volbbl]
type = MaterialRealAux
variable = vol_bbl_bdr
property = bubble_GB_volume
execute_on = timestep_end
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
execute_on = timestep_end
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
execute_on = timestep_end
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
execute_on = timestep_end
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12'
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[temp_clad_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = clad_surface_temp
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 101325
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 300000
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
block = pellet
temperature = temp
Am_content = 0.0
Np_content = 0.0
porosity = pore
output_properties = 'thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.98
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10836.8
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
diff_coeff_option = TURNBULL_D1_4D2_4D3
fission_rate = fission_rate
grain_radius_const = 8.01e-6 #I'm keeping the grain radius const because the grain growth in MOX is probably different due to high Temp
bubble_gb_limit = 1.0e+11
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
fixed_point_abs_tol = 1e-5
fixed_point_rel_tol = 1e-5
fixed_point_max_its = 1
l_max_its = 70
l_tol = 8e-3
nl_max_its = 70
nl_rel_tol = 1e-5
nl_abs_tol = 1e-5
start_time = 0
n_startup_steps = 1
end_time = 17153028
dtmax = 1e6
dtmin = 0.25
[TimeStepper]
type = IterationAdaptiveDT
dt = 5000
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.6 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[ave_pore]
type = ElementAverageValue
variable = pore
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior fis_gas_released_percentage max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = MK-I_50MW_sub_new_bubble_gb_lim.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp disp_x disp_y'
[]
(assessment/MOX/JOYO/B14/PTM003/analysis/b14_ptm003_2DRZ_t.i)
initial_fuel_density = 11172.82
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.0027
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.00008
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.1409
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.0054
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.961
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
#outputs = exodus
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 1.97
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 11172.82
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 11e-06
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
# variable = temp
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
# variable = temp
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.0027 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.0027 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.0027 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm003_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/ss316_thermal/exact.i)
# This tests compares the hand calcualtions for thermal conductivity and
# specific heat for 316 stainless steel in AD form.
[Problem]
solve = false
[]
[Mesh]
[single_cube]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[AuxVariables]
[T]
initial_condition = 300
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0.0 1.0 2.0 3.0 4.0'
y = '300 300 600 900 1200'
[]
[]
[AuxKernels]
[heat_ie]
type = FunctionAux
variable = T
function = temp_ramp
[]
[]
[Materials]
[fuel_thermal316]
type = ADSS316Thermal
temperature = T
outputs = all
[]
[]
[Executioner]
type = Transient
line_search = 'none'
num_steps = 4
[]
[Postprocessors]
[avg_th_cond]
type = ElementAverageValue
variable = thermal_conductivity
[]
[avg_cp]
type = ElementAverageValue
variable = specific_heat
[]
[average_fuel_T]
type = ElementAverageValue
variable = T
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
csv = true
[]
(assessment/nitride/JOYO/JOYO_L4C4/analysis/JOYO_Pin_base.i)
[GlobalParams]
order = FIRST
energy_per_fission = ${energy_per_fission}
displacements = 'disp_x disp_y'
value_range_behavior = IGNORE
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temperature'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_thickness = ${cladding_thickness}
pellet_outer_radius = ${fuel_radius}
pellet_height = ${fuel_height}
clad_top_gap_height = ${plenum_height}
clad_gap_width = ${cladding_gap_width}
bottom_clad_height = ${cladding_bottom_top_plug_length}
top_clad_height = ${cladding_bottom_top_plug_length}
clad_bot_gap_height = ${gap_bottom_length}
clad_mesh_density = customize
pellet_mesh_density = customize
nx_p = 6
ny_p = 260
nx_c = 4
ny_c = 260
ny_cu = 3
ny_cl = 3
pellet_quantity = 1
elem_type = QUAD4
[]
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 ${time_end_ramp_up} ${time_start_ramp_down} ${time_end_ramp_down}'
y = '0 ${avg_lin_power} ${avg_lin_power} 0'
[]
[coolant_wall_temperature]
type = ParsedFunction
expression = 'if(t<${time_end_ramp_up}, ${initial_temperature} + t*(${a}*y^2 + ${b}*y + ${c} - ${initial_temperature})/(${time_end_ramp_up}),if(t<${time_start_ramp_down},${a}*y^2 + ${b}*y + ${c}, if(t<${time_end_ramp_down}, ${a}*y^2 + ${b}*y + ${c} + (t-${time_start_ramp_down})*(${initial_temperature}-(${a}*y^2 + ${b}*y + ${c}))/(${time_end_ramp_down}-${time_start_ramp_down}),${initial_temperature})))'
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 ${run_time}'
y = '${coolant_pressure} ${coolant_pressure}'
[]
[plenum_pressure]
type = ConstantFunction
value = ${initial_plenum_pressure}
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 ${time_end_ramp_up} ${run_time}'
y = '0 ${fast_neutron_flux} ${fast_neutron_flux}'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '${pos_1} ${pos_2} ${pos_3} ${pos_4} ${pos_5} ${pos_6} ${pos_7} ${pos_8} ${pos_9} ${pos_10} ${pos_11} ${pos_12} ${pos_13} ${pos_14} ${pos_15} ${pos_16}'
y = '0 ${run_time}'
z = '${pow_1} ${pow_2} ${pow_3} ${pow_4} ${pow_5} ${pow_6} ${pow_7} ${pow_8} ${pow_9} ${pow_10} ${pow_11} ${pow_12} ${pow_13} ${pow_14} ${pow_15} ${pow_16} ${pow_1} ${pow_2} ${pow_3} ${pow_4} ${pow_5} ${pow_6} ${pow_7} ${pow_8} ${pow_9} ${pow_10} ${pow_11} ${pow_12} ${pow_13} ${pow_14} ${pow_15} ${pow_16}'
scale_factor = 1
axis = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
strain = FINITE
add_variables = true
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_expansion solid_swelling_eigenstrain'
temperature = temperature
[]
[clad]
block = clad
strain = FINITE
incremental = true
add_variables = true
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'clad_thermal_expansion'
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
block = 'pellet clad'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet clad'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet clad'
[]
[heat_source]
type = FissionRateHeatSource
variable = temperature
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
block = 'pellet'
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5' # clad_inside_right
secondary_boundary = '10' # pellet_outer_radial_surface
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
[]
[]
[Contact]
[mechanical]
model = frictionless
formulation = mortar
primary = 5 # clad_inside_right
secondary = 10 # pellet_outer_radial_surface
c_normal = 1e+11
correct_edge_dropping = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = '12' # centerline
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = '1' # clad_outside_bottom
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = '20' # bottom_of_bottom_pellet
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3' # clad_outside_bottom, clad_outside_right, clad_outside_top
function = coolant_press_ramp
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # inside_surfaces
initial_pressure = ${initial_plenum_pressure}
startup_time = 0
R = ${R}
initial_temperature = ${initial_temperature}
temperature = ave_temperature_interior # coupling to post processor to get gas temperature approximation
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
volume = gas_volume # coupling to post processor to get gas volume
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
[]
[]
[clad_outer_temperature]
type = FunctionDirichletBC
boundary = '1 2 3' # clad_outside_bottom, clad_outside_right, clad_outside_top
function = coolant_wall_temperature
variable = temperature
[]
[]
[Materials]
[porosity]
type = GenericConstantMaterial
block = pellet
prop_names = porosity
prop_values = ${initial_porosity}
outputs = all
[]
[fission_rate]
type = FissionRate
block = pellet
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
outputs = all
[]
[fuel_thermal]
type = MNThermal
block = pellet
temperature = temperature
porosity = porosity
outputs = all
[]
[fuel_elasticity_tensor]
block = pellet
type = MNElasticityTensor
temperature = temperature
porosity = porosity
output_properties = 'youngs_modulus poissons_ratio'
outputs = all
[]
[fuel_thermal_expansion]
block = pellet
type = MNThermalExpansionEigenstrain
eigenstrain_name = fuel_thermal_expansion
stress_free_temperature = ${initial_temperature}
temperature = temperature
[]
[fuel_creep]
block = pellet
type = MNCreepUpdate
max_inelastic_increment = 1e-4
temperature = temperature
porosity = porosity
fission_rate = fission_rate
outputs = all
value_range_behavior = EXCEPTION
[]
[burnup]
type = Burnup
block = pellet
atoms_heavy_metal_per_volume = ${atoms_heavy_metal_per_volume}
outputs = all
[]
[burnup_swelling]
type = BurnupDependentEigenstrain
block = pellet
eigenstrain_name = 'solid_swelling_eigenstrain'
burnup = burnup
outputs = all
[]
[fuel_radial_return_stress]
block = pellet
type = ComputeMultipleInelasticStress
inelastic_models = 'fuel_creep'
[]
[fuel_density]
block = pellet
type = StrainAdjustedDensity
strain_free_density = ${density}
[]
[clad_elasticity_tensor]
block = clad
type = SS316ElasticityTensor
temperature = temperature
elastic_constants_model = legacy_ifr
[]
[clad_thermal_expansion]
block = clad
type = SS316ThermalExpansionEigenstrain
eigenstrain_name = clad_thermal_expansion
stress_free_temperature = ${initial_temperature}
temperature = temperature
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = false
block = clad
flux_function = fast_neutron_flux_function
[]
[clad_creep]
block = clad
type = SS316CreepUpdate
fast_neutron_flux = fast_neutron_flux
temperature = temperature
[]
[clad_stress]
block = clad
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_creep'
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temperature
[]
[clad_density]
block = clad
type = DerivativeParsedMaterial
coupled_variables = 'temperature'
expression = '-4.454e-5*temperature^2 - 0.4297*temperature + 8089.4'
property_name = 'density'
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
min_damping = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
min_damping = 1e-4
[]
[temperature]
type = MaxIncrement
variable = temperature
max_increment = 50
min_damping = 1e-4
[]
[]
[Executioner]
type = Transient
# With mortar contact
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15'
snesmf_reuse_base = false
verbose = true
line_search = 'none'
l_max_its = 60
nl_max_its = 20
nl_rel_tol = 5e-6
nl_abs_tol = 5e-9
end_time = ${run_time}
dtmin = 1
dtmax = 5e4
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = time_step_limit
force_step_every_function_point = true
timestep_limiting_function = power_history
dt = 10
[]
[]
[Postprocessors]
# elemental temperatures
[temperature_fuel_avg]
type = ElementAverageValue
variable = temperature
block = pellet
execute_on = 'initial timestep_end'
[]
[temperature_fuel_max]
type = ElementExtremeValue
variable = temperature
block = pellet
[]
[temperature_fuel_min]
type = ElementExtremeValue
variable = temperature
block = pellet
value_type = min
[]
[temperature_clad_avg]
type = ElementAverageValue
variable = temperature
block = clad
execute_on = 'initial timestep_end'
[]
[temperature_clad_max]
type = ElementExtremeValue
variable = temperature
block = clad
[]
[temperature_clad_min]
type = ElementExtremeValue
variable = temperature
block = clad
value_type = min
[]
[ave_temperature_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = '9' # inside_surfaces
variable = temperature
execute_on = 'initial linear'
[]
[temperature_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = '12' # centerline
variable = temperature
[]
[temperature_fuel_centerline_max]
type = NodalExtremeValue
boundary = '12' # centerline
variable = temperature
[]
[temperature_fuel_centerline_min]
type = NodalExtremeValue
boundary = '12' # centerline
variable = temperature
value_type = min
[]
[temperature_fuel_surface_avg]
type = SideAverageValue
boundary = '10' # pellet_outer_radial_surface
variable = temperature
[]
[temperature_fuel_surface_max]
type = NodalExtremeValue
boundary = '10' # pellet_outer_radial_surface
variable = temperature
[]
[temperature_fuel_surface_min]
type = NodalExtremeValue
boundary = '10' # pellet_outer_radial_surface
variable = temperature
value_type = min
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = pellet
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = pellet
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = pellet
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = pellet
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = pellet
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = pellet
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = pellet
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = '11' # top_of_top_pellet
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = '11' # top_of_top_pellet
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = '20' # bottom_of_bottom_pellet
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = '20' # bottom_of_bottom_pellet
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = '10' # pellet_outer_radial_surface
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = '10' # pellet_outer_radial_surface
[]
[burnup_avg]
type = ElementAverageValue
block = pellet
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = pellet
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = pellet
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = pellet
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = pellet
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = pellet
[]
[swelling_dia_percent]
type = ParsedPostprocessor
pp_names = 'disp_x_fuel_radial_surface_avg'
expression = 'disp_x_fuel_radial_surface_avg / 3.14159 / ${fuel_radius} * 100'
[]
[fuel_volume]
type = VolumePostprocessor
block = pellet
execute_on = 'TIMESTEP_END INITIAL'
use_displaced_mesh = true
[]
[swelling_vol_percent]
type = ParsedPostprocessor
pp_names = 'fuel_volume'
expression = '(fuel_volume - ${fuel_volume}) / ${fuel_volume} * 100'
[]
[gas_volume]
type = InternalVolume
boundary = '9' # inside_surfaces
execute_on = 'initial linear'
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
outputs = none
block = 'pellet'
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[]
[PerformanceMetricOutputs]
outputs = 'performance_metrics performance_metrics_sync exodus console base_out'
[]
[Outputs]
perf_graph = true
csv = true
sync_times = '1e2 1e3 5e3 1e4 5e4 1e5 5e5 1e6 2.5e6 5e6 1e7 2e7 ${fparse run_time -1e3} ${run_time}'
file_base = '${group_name}_nominal_Pin'
[base_out]
type = CSV
file_base = '${group_name}_Pin_base_out'
show = 'burnup_max temperature_fuel_avg temperature_clad_avg ave_temperature_interior swelling_vol_percent disp_x_fuel_radial_surface_max'
sync_only = true
[]
[checkpoint]
type = Checkpoint
time_step_interval = 10
[]
[exodus]
type = Exodus
[]
[sync]
type = CSV
file_base = '${group_name}_nominal_Pin_sync'
sync_only = true
[]
[console]
type = Console
show = 'time_step_size temperature_fuel_avg temperature_fuel_centerline_max stress_vonmises_fuel_max stress_hydro_fuel_max stress_hydro_fuel_min strain_axial_fuel_avg burnup_avg fission_rate_avg porosity_fuel_avg time_step_limit disp_x_fuel_radial_surface_max disp_x_fuel_radial_surface_avg swelling_dia_percent swelling_vol_percent fuel_volume'
[]
[performance_metrics]
type = CSV
file_base = '${group_name}_nominal_performance_metrics_Pin'
show = 'simulation_alive_time number_linear_iterations number_nonlinear_iterations time_step_size total_linear_iterations total_nonlinear_iterations physical_memory_use number_dofs number_nonlinear_variables residual_compute_time jacobian_compute_time'
[]
[performance_metrics_sync]
type = CSV
sync_only = true
file_base = '${group_name}_nominal_performance_metrics_Pin_sync'
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'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temperature'
show_var_residual_norms = true
[]
(assessment/metallic_fuel/EBRII/X423/analysis/x423_lm_base.i)
[GlobalParams]
density = ${fuel_density}
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
X_Pu = ${fuel_pu}
X_Zr = ${fuel_zr}
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} / ${pin_id} _design.csv'}
fipd_as_fabricated_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} / ${pin_id} _as_fabricated.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_radial_elements = 10
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
# Aux variables for output
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[func_val1]
[]
[func_val2]
[]
# AuxVariables used for thermal expansion correction
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[Functions] #copied from fipd-tdep
[clad_od_temp]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[power_history]
type = PiecewiseLinear
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[pwr_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[pwr_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation
[]
[fflux_axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation
[]
[flux_history]
type = PiecewiseLinear
data_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 56465640'
y = '0.151e6 0.151e6'
[]
[id_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func]
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[ci_temp]
type = PiecewiseLinearFromVectorPostprocessor
argument_column = y
component = y
value_column = temp
vectorpostprocessor_name = clad_inn_temp
[]
[na_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[]
[Physics/SolidMechanics/QuasiStatic]
temperature = temp
[fuel]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
[]
[clad]
strain = FINITE
add_variables = true
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = cladding
eigenstrain_names = 'clad_swelling clad_thermal_eigenstrain'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie_f]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = fuel
density_name = density
[]
[heat_ie_c]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = cladding
density_name = density
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = fission_rate
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = fuel_outer_radial_surface
[]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
boundary = 'cladding_outside_right'
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[volumetric_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = timestep_end
block = fuel
[]
[hoop_stress]
type = RankTwoAux
rank_two_tensor = stress
variable = hoop_stress
index_j = 2
index_i = 2
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = cladding
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = cladding
[]
# AuxKernels used to correct thermal expansion
[fuel_thermal_strain_xx]
type = RankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = RankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
[clad_thermal_eigenstrain_xx]
type = RankTwoAux
rank_two_tensor = clad_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
penalty = 1e12
model = frictionless
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
quadrature = true
gap_conductivity = 61.0
min_gap = 0.5e-03
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = fuel_bottom
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = cladding_outside_bottom
value = 0.0
[]
[fuel_top_temp]
type = FunctionDirichletBC
boundary = fuel_top
variable = temp
function = ci_temp
[]
[surf] #copied from fipd-tdep
type = FunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'fuel_outside_all cladding_inside_all'
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
block = fuel
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors
use_metadata = true
mesh_generator = gen
outputs = all
[]
[fission_rate_elongate]
type = UPuZrFissionRate
block = cladding
fission_rate_name = fission_rate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors_elongate
use_metadata = true
mesh_generator = gen
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
density = ${fuel_density}
outputs = all
block = fuel
[]
[burnup_elongate]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
density = ${fuel_density}
outputs = all
block = cladding
burnup_name = burnup
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors_elongate
block = cladding
factor = 1.0
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = fuel
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UPuZrVolumetricSwellingEigenstrainLM
block = fuel
use_preset_bubble_size = true
anisotropic_factor = 1.26
temperature = temp
fission_rate = fission_rate
burnup = burnup
fis_gas_ret = fis_gas_ret
hydrostatic_stress = hydrostatic_stress
eigenstrain_name = fuel_volumetric_strain
gas_swelling_scale_factor = 1.0
outputs = all
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
displacements = 'disp_x disp_y'
block = fuel
strain_free_density = ${fuel_density}
[]
[fission_gas_behavior]
type = FgrUPuZrLM
block = fuel
temperature = temp
fission_rate = fission_rate
epsilon_c = 0.36
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = cladding
elastic_constants_model = legacy_ifr
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ss316creep'
block = cladding
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = cladding
temperature = temp
fast_neutron_flux = fast_neutron_flux
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[clad_swelling]
type = SS316VolumetricSwellingEigenstrain
eigenstrain_name = clad_swelling
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
temperature = temp
outputs = all
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = cladding
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_thermal]
type = SS316Thermal
block = cladding
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 7874.0
[]
[longSS316_failure]
type = D9FailureClad
block = cladding
method = steady_state
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = MetallicFuelWastage
method = flux_ss316
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = MetallicFuelCoolantWastage
clad_material = SS316
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50
variable = temp
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
end_time = ${time_last}
dtmin = 1
dtmax = ${max_dt}
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = power_history
#max_function_change = 300 # Removed to decrease run time
timestep_limiting_postprocessor = creep_timestep
dt = 100
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
outputs = 'csv_general console'
[]
[num_lin_it]
type = NumLinearIterations
outputs = csv_general
[]
[num_nonlin_it]
type = NumNonlinearIterations
outputs = csv_general
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
outputs = csv_general
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
outputs = csv_general
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
outputs = csv_general
[]
[ave_temp_interior]
type = SideAverageValue
boundary = cladding_inside_top
variable = temp
execute_on = 'initial linear'
outputs = csv_general
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = centerline
variable = temp
outputs = csv_general
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
outputs = csv_general
[]
[ave_FST]
type = SideAverageValue
boundary = fuel_outer_radial_surface
variable = temp
outputs = csv_general
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
outputs = csv_general
[]
[ave_CIT]
type = SideAverageValue
boundary = cladding_inside_right
variable = temp
outputs = csv_general
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
outputs = csv_general
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = cladding
outputs = csv_general
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = cladding
outputs = csv_general
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
outputs = csv_general
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
outputs = csv_general
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
outputs = csv_general
[]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = fuel
outputs = csv_general
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
outputs = csv_general
[]
[clad_inner_vol]
type = InternalVolume
boundary = cladding_inside_all
outputs = csv_general
[]
[pellet_volume]
type = InternalVolume
boundary = fuel_outside_all
outputs = csv_general
[]
[gas_volume]
type = InternalVolume
boundary = 'fuel_outside_all cladding_inside_all'
execute_on = 'initial timestep_end'
addition = na_vol
outputs = csv_general
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = fuel_outer_radial_surface
outputs = csv_general
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = fuel_outer_radial_surface
outputs = csv_general
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = cladding_inside_right
diffusivity = thermal_conductivity
outputs = csv_general
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = fuel_outer_radial_surface
diffusivity = thermal_conductivity
outputs = csv_general
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
outputs = csv_general
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
outputs = csv_general
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
outputs = csv_general
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
outputs = csv_general
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = fuel
outputs = csv_general
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = fuel
execute_on = 'initial timestep_end'
outputs = csv_general
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
outputs = 'csv_general console'
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
outputs = csv_general
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
outputs = csv_general
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
outputs = csv_general
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
outputs = csv_general
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
outputs = csv_general
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
outputs = csv_general
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
outputs = csv_general
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
outputs = csv_general
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = cladding
variable = hoop_creep_strain
outputs = csv_general
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = cladding
variable = creep_strain_mag
outputs = csv_general
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = cladding
variable = total_hoop_strain
outputs = csv_general
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_top
outputs = csv_general
[]
[avg_fuel_ax_thm_str]
type = AxisymmetricCenterlineAverageValue
variable = fuel_thermal_strain_yy
boundary = fuel_inner_radial_surface
outputs = csv_general
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'cladding_outside_top cladding_outside_right'
outputs = csv_general
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
outputs = 'console'
[]
[avg_fuel_temp]
type = ElementAverageValue
variable = temp
block = fuel
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_general
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = centerline
sort_by = y
outputs = none
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = fuel_outer_radial_surface
sort_by = y
outputs = none
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_inside_right
sort_by = y
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
# PIE Comparison VPPs
[nrad_comparison_0]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_0
enable = ${enable_0}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_0'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423A_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_a'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[nrad_comparison_b]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423B_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_b
enable = ${enable_b}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_b'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[nrad_comparison_c]
type = FIPDAxialPIEComparison
boundary = fuel_outer_radial_surface
sort_by = y
csv_file = ${raw '../../../../../../fipd-bison-integration-data/X423/ ${pin_id} /X423C_ ${pin_id} _NRAD.csv'}
variable = disp_x
thermal_strain_variable = fuel_thm_exp
involved_component = fuel
mesh_generator = gen
series_type_to_read = 'Fuel O.D. (mils)'
outputs = csv_vpp_c
enable = ${enable_c}
execute_on = 'initial timestep_end'
extra_pp_output_name = 'extra_csv extra_csv_c'
max_fuel_elongation_pp_name = max_fuel_elongation
avg_fuel_ax_thm_str_pp_name = avg_fuel_ax_thm_str
gas_swelling_pp_name = gas_swelling
solid_swelling_pp_name = solid_swelling
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
sync_times = ${time_spots}
[]
[csv_vpp_0]
type = CSV
sync_only = true
sync_times = ${time_spots_0}
enable = ${enable_0}
create_latest_symlink = true
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
create_latest_symlink = true
[]
[csv_vpp_b]
type = CSV
sync_only = true
sync_times = ${time_spots_b}
enable = ${enable_b}
create_latest_symlink = true
[]
[csv_vpp_c]
type = CSV
sync_only = true
sync_times = ${time_spots_c}
enable = ${enable_c}
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_times = ${time_spots}
[]
[extra_csv]
type = CSV
sync_only = true
sync_times = ${time_spots_extra}
[]
[extra_csv_0]
type = CSV
sync_only = true
sync_times = ${time_spots_0}
enable = ${enable_0}
[]
[extra_csv_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
[]
[extra_csv_b]
type = CSV
sync_only = true
sync_times = ${time_spots_b}
enable = ${enable_b}
[]
[extra_csv_c]
type = CSV
sync_only = true
sync_times = ${time_spots_c}
enable = ${enable_c}
[]
[exodus]
type = Exodus
sync_only = true
sync_times = ${time_spots}
[]
[]
(assessment/MOX/JOYO/B14/PTM010/analysis/b14_ptm010_2DRZ_t.i)
initial_fuel_density = 10964.6
[GlobalParams]
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.4
pellet_outer_radius = 0.002675
pellet_mesh_density = customize
clad_mesh_density = customize
clad_gap_width = 0.000105
clad_thickness = 0.00047
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 0.685
elem_type = QUAD8
nx_c = 4
ny_c = 100
nx_p = 20
ny_p = 100
ny_cu = 3
ny_cl = 3
[]
patch_size = 50
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[pore]
[]
[fission_rate]
[]
[burnup]
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history] #related to the LHGR at the midplane
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 39814.5 39814.5 44289.3 44289.3 53927.4 53927.4 0'
[]
[fast_neutron_flux_function]
type = PiecewiseLinear
x = '0 251280'
y = '3.3e+15 3.3e+15'
[]
[f_temp_out_clad]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 295 634.94 662.273 676.998 686.217 706.339 727 743.358 758.311 780.069 799.077 815.576 846.374 860.233 875.494 882.809 889.8'
scale_factor = 1
axis = 1
[]
[axial_peaking_factors]
type = PiecewiseBilinear
x = '0.000175 0.0464075 0.0843675 0.1075625 0.152025 0.1994625 0.2464725 0.2947475 0.356915 0.43356 0.49848 0.625 0.700475 0.797485 0.8723425 0.96'
y = '0 251280'
z = '0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846 0.751 0.752 0.767 0.796 0.82 0.852 0.875 0.915 0.944 0.963 0.988 1 0.985 0.955 0.913 0.846'
scale_factor = 1
axis = 1
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[average_power_history]
type = PiecewiseLinear
x = ' 0 72000 158040 160200 246600 248400 249000.012 251280'
y = ' 0 34700 34700 38600 38600 47000 47000 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
use_finite_deform_jacobian = true
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fission_rate]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate
block = pellet
initial_porosity = 0.143
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
pellet_diameter = 0.00535
execute_on = timestep_begin
porosity = pore
energy_per_fission = 3.2e-11
[]
[burnup]
type = BurnupAux
block = pellet
fission_rate = fission_rate
variable = burnup
execute_on = timestep_begin
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = 2
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 101325
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
block = clad
flux_function = fast_neutron_flux_function
[]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = pellet
Am_content = 0.0237
oxy_to_metal_ratio = 1.99
output_properties = 'thermal_conductivity'
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[fuel_elasticity_tensor]
type = MAMOXElasticityTensor
block = pellet
[]
[elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = MAMOXThermalExpansionEigenstrain
block = pellet
temperature = temp
stress_free_temperature = 295.0
oxygen_to_metal_ratio = 2.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10964.6
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = SS316Thermal
block = clad
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 8000
[]
[clad_elasticity_tensor]
type = SS316ElasticityTensor
block = clad
temperature = temp
elastic_constants_model = legacy_ifr
[]
[thermal_expansion]
type = SS316ThermalExpansionEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_ss316creep]
type = SS316CreepUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_ss316creep'
block = clad
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
burnup = burnup
fission_rate = fission_rate
grain_radius_const = 10e-06
bubble_gb_limit = 1.0e+11
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
fixed_point_max_its = 1
fixed_point_abs_tol = 1e-3
fixed_point_rel_tol = 1e-3
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-3
start_time = 0
n_startup_steps = 1
end_time = 251280
dtmax = 10000
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history
[]
[]
[Postprocessors]
[ave_temp_interior]
type = ElementAverageValue
variable = temp
execute_on = 'initial linear'
[]
[average_burnup]
type = ElementAverageValue
variable = burnup
[]
[ave_pore]
type = ElementAverageValue
block = pellet
variable = pore
[]
[max_pore]
type = NodalExtremeValue
block = pellet
value_type = max
variable = pore
[]
[min_pore]
type = NodalExtremeValue
block = pellet
value_type = min
variable = pore
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released_percentage]
type = FGRPercent
fission_gas_generated = fis_gas_produced
fission_gas_released = fis_gas_released
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = average_power_history
scale_factor = 0.4 # rod height
[]
[]
[VectorPostprocessors]
[fuel_radial_temperature_Sample1]
type = LineValueSampler
variable = temp
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample1]
type = LineValueSampler
variable = pore
start_point = '0.0 0.283 0.0'
end_point = '0.002675 0.283 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample2]
type = LineValueSampler
variable = temp
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample2]
type = LineValueSampler
variable = pore
start_point = '0.0 0.347 0.0'
end_point = '0.002675 0.347 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[fuel_radial_temperature_Sample3]
type = LineValueSampler
variable = temp
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[radial_porosity_Sample3]
type = LineValueSampler
variable = pore
start_point = '0.0 0.2 0.0'
end_point = '0.002675 0.2 0.0'
num_points = 200
execute_on = final
sort_by = x
outputs = line_plot
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
color = true
csv = true
[console]
type = Console
max_rows = 25
[]
[line_plot]
type = CSV
execute_on = 'FINAL'
time_step_interval = 1
file_base = 1d
create_final_symlink = true
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_temp_interior max_pore'
[]
[]
[MultiApps]
[sub]
type = TransientMultiApp
app_type = BisonApp
execute_on = timestep_end
catch_up = true
max_catch_up_steps = 10
positions_file = positions.txt
input_files = b14_ptm010_pore.i
[]
[]
[Transfers]
[temp_to_sub]
type = MultiAppProjectionTransfer
to_multi_app = sub
source_variable = temp
variable = temp
[]
[pore_from_sub]
type = MultiAppGeometricInterpolationTransfer
from_multi_app = sub
source_variable = pore
variable = pore
[]
[]
[Debug]
show_var_residual_norms = true
[]
(assessment/MOX/JOYO/B14/PTM002/analysis/b14_ptm002_p-15_percent.i)
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = half_symm_disk_tube.e
[]
[]
[Variables]
[temp]
initial_condition = 295
[]
[pore]
initial_condition = 0.1372
scaling = 1e14
block = 1
[]
[]
[AuxVariables]
[pore_speed_aux]
order = constant
family = monomial
[]
[fission_rate_aux_variable_mox]
order = first
family = lagrange
[]
[grad_temp_x]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history1]
type = PiecewiseLinear
data_file = power_-15%.csv
format = columns
[]
[f_temp_out_clad]
type = PiecewiseLinear
x = '0 100 249100 251280'
y = '600 882.81 882.81 600'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
fission_rate = fission_rate_aux_variable_mox
[]
[pore_continuity]
type = MOXPoreContinuity
variable = pore
temperature = temp
debug = 0
alpha = 0.25
beta = 1
heating_function = power_history1
block = 1
[]
[pore_diffusion]
type = MOXPoreDiffusion
variable = pore
debug = 0
nu = 1e-10
heating_function = power_history1
v_upper = 1e-12
v_lower = 1e-20
block = 1
[]
[poretimederivative]
type = CoefTimeDerivative
variable = pore
Coefficient = 1
block = 1
[]
[]
[AuxKernels]
[pore_speed_aux]
type = MaterialRealAux
variable = pore_speed_aux
property = pore_velocity
execute_on = 'initial timestep_end'
block = 1
[]
[fission_rate_aux_kernel_mox]
type = FissionRateGeneral
fission_rate_formulation = MOX
variable = fission_rate_aux_variable_mox
porosity = pore
initial_porosity = 0.143
rod_ave_lin_pow = power_history1
pellet_diameter = 0.00535
pellet_inner_diameter = 0
energy_per_fission = 3.2e-11
execute_on = 'initial timestep_end'
value = 1.0
block = 1
[]
[grad_temp_x_aux]
type = VariableGradientComponent
variable = grad_temp_x
component = x
gradient_variable = temp
execute_on = 'initial timestep_end'
[]
[ThermalConductivityAux]
type = MaterialRealAux
execute_on = linear
property = thermal_conductivity
variable = thermal_conductivity
block = 1
[]
[]
[BCs]
[temp_clad_outside]
type = FunctionDirichletBC
variable = temp
function = f_temp_out_clad
boundary = '3'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 1
secondary = 2
gap_conductivity = 0.2
gap_geometry_type = cylinder
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
normal_smoothing_distance = 0.01
tangential_tolerance = 0.01
quadrature = true
[]
[]
[Materials]
[fuel_thermal]
type = MAMOXThermal
temperature = temp
porosity = pore
block = 1
Am_content = 0.0237
oxy_to_metal_ratio = 1.98
[]
[fuel_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 11057.75
block = 1
[]
[pore_velocity]
type = MOXPoreVelocity
temperature = temp
limit = 1e-3
scale_factor = 0.1
block = 1
[]
[clad_thermal]
type = SS316Thermal
block = 2
temperature = temp
[]
[clad_density]
type = GenericConstantMaterial
prop_names = density
prop_values = 8000.0
block = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type'
petsc_options_value = 'asm lu'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 251280
dtmin = 0.25
automatic_scaling = true
compute_scaling_once = false
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e1
optimal_iterations = 15
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
force_step_every_function_point = true
timestep_limiting_function = power_history1
[]
[]
[Postprocessors]
[ave_fuel_temp]
type = ElementAverageValue
variable = temp
block = 1
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = 1
[]
[ave_pore]
type = ElementAverageValue
variable = pore
block = 1
[]
[max_pore]
type = NodalExtremeValue
value_type = max
variable = pore
block = 1
[]
[min_pore]
type = NodalExtremeValue
value_type = min
variable = pore
block = 1
[]
[max_pore_speed]
type = ElementExtremeValue
value_type = max
variable = pore_speed_aux
block = 1
[]
[rod_total_power_mox]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate_aux_variable_mox
block = 1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history1
scale_factor = 0.5 # half disk
[]
[ave_themal_conductivity]
type = ElementAverageValue
variable = thermal_conductivity
block = 1
[]
[]
[VectorPostprocessors]
[line_value_vector_postprocessor_pore]
type = LineValueSampler
variable = pore
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 200
sort_by = x
execute_on = linear
outputs = stuff_v_rad
control_tags = a
[]
[line_value_vector_postprocessor_gradT]
type = LineValueSampler
variable = grad_temp_x
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_pore_speed]
type = LineValueSampler
variable = pore_speed_aux
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_temp]
type = LineValueSampler
variable = temp
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[line_value_vector_postprocessor_thermal_conductivity]
type = LineValueSampler
variable = thermal_conductivity
start_point = '0.0 0.00008 0.0'
end_point = '0.002675 0.00008 0.0'
num_points = 100
sort_by = x
execute_on = linear
outputs = stuff_v_rad
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
max_rows = 25
all_variable_norms = true
[]
[stuff_v_rad]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'ave_fuel_temp max_pore'
[]
[]
[Debug]
show_var_residual_norms = true
show_var_residual = 'temp pore'
[]
(test/tests/solid_mechanics/ss316_elasticity_tensor/elastic_modulus_ss316.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the elastic behavior of SS316. A simple
# 2D RZ model of a section of cladding is loaded axially with a pressure.
# The model is meshed with a single element and appropriate BCs are applied.
#
# - Geometry:
# Ri = 0.005 m
# Ro = 0.0055 m
# H = 0.01 m
#
# - Single element
#
# - Boundary conditions:
# axial stress (t = 1) = -100 MPa at the top
# axial stress (t = 2) = -2000 MPa at the top
#
# - Result (Hand calc.):
# Given T = 300, E = 1.9471419E11, nu = 0.31
# At t = 1, Elastic strain in y-dir = -100 MPa / E = -5.135733E-4
# At t = 1, Elastic strain in x-dir = 100 MPa / E * nu = 1.592077E-4
#
# At t = 2, Elastic strain in y-dir = -2000 MPa / E = -1.027147E-2
# At t = 2, Elastic strain in x-dir = 2000 MPa / E * nu = 3.184154E-3
#
#--------------------------------------------------------------------------------
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
volumetric_locking_correction = true
[]
[Mesh]
coord_type = RZ
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
elem_type = QUAD4
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 1 2'
y = '1 1 20'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[elastic_strain_xx]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[elastic_strain_yy]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[elastic_strain_zz]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[top_surface]
boundary = 'top'
factor = 100e6
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[]
[Materials]
[elasticity_tensor]
type = SS316ElasticityTensor
temperature = temperature
block = 0
outputs = all
output_properties = 'effective_stiffness'
elastic_constants_model = legacy_ifr
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[clad_density]
type = StrainAdjustedDensity
block = 0
strain_free_density = 7874
[]
[thermal]
type = SS316Thermal
block = 0
temperature = temperature
[]
[]
[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-6
l_tol = 1e-5
start_time = 0.0
end_time = 2
dt = 1
[]
[Postprocessors]
[elastic_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[total_strain_xx]
type = ElementAverageValue
variable = total_strain_xx
[]
[total_strain_yy]
type = ElementAverageValue
variable = total_strain_yy
[]
[total_strain_zz]
type = ElementAverageValue
variable = total_strain_zz
[]
[disp_x3]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_y3]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[]
[Outputs]
csv = true
[out]
type = Exodus
[]
[]