TRISO Tutorial
The TRISO fuel particle geometry consists of a fuel kernel (made of either UO or UCO) surrounded by a buffer and three coating layers, which is shown in Figure 1. These particles are embedded in a spherical, cylindrical, or plate-type graphite matrix, referred to as a fuel element. It is common to model many TRISO particles and evaluate particle failure probabilities. When modeling a fuel element, homogenized properties are typically used, rather than modeling each TRISO particle in the fuel element.
This tutorial has two parts. The first focuses on analysis of a single particle. The second looks at computing failure probabilities.
Figure 1: TRISO particle has a fuel kernel that is surrounded by a buffer and three coating layers: (1) an inner layer of high strength PyC, (2) a layer of SiC, and (3) an outer layer of PyC.
Single TRISO Particle Analysis
This tutorial shows an analysis meant to replicate the way PARFUME models a TRISO particle.
TRISO Mesh
TRISO particles may be represented as 1D, 2D, or 3D meshes. For 1D and 2D -symmetric and -aspherical meshes, it is possible to use mesh generation capabilities in BISON. In all cases, it is possible to use a mesh generated by an external mesh generation tool such as CUBIT.
3D: An external mesh generation tool is required.
[Mesh<<<{"href": "../../../syntax/Mesh/index.html"}>>>]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator<<<{"description": "Creates a 1D mesh for use with TRISO analysis.", "href": "../../../source/meshgenerators/TRISO1DMeshGenerator.html"}>>>
elem_type<<<{"description": "The type of element from libMesh to generate"}>>> = EDGE3
coordinates<<<{"description": "Radial coordinates of mesh block boundaries."}>>> = '0 2.125e-4 3.125e-4 3.125e-4 3.525e-4 3.875e-4 4.275e-4'
mesh_density<<<{"description": "A list giving the number of elements in each interval (could be zero for a gap)."}>>> = '6 6 0 6 8 6'
block_names<<<{"description": "A list of names to be assigned to the mesh blocks."}>>> = 'fuel buffer IPyC SiC OPyC'
[]
[]Geometry Setup
The TRISOGeometry user object reports the dimensions of the TRISO particle to other models. If the standard TRISO1DMeshGenerator, TRISO1DFiveLayerMeshGenerator or TRISO2DMeshGenerator are used, setting up TRISOGeometry is simplified due to the use of default side set numbers.
[UserObjects<<<{"href": "../../../syntax/UserObjects/index.html"}>>>]
[particle_geometry]
type = TRISOGeometry<<<{"description": "Computes TRISO Geometry.", "href": "../../../source/userobject/TRISOGeometry.html"}>>>
[]
[]Kernel
Thermal and mechanical properties of UCO are:
Thermal expansion coefficient is set to -/K (value for UO from Olander (1976).
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[UCO_thermal]
type = UCOThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for UCO.", "href": "../../../source/materials/UCOThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_thermal_strain]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 10e-6 # check this value for UCO
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor<<<{"description": "Computes the Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain<<<{"description": "Computes fission-induced swelling (percent per percent FIMA) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOVolumetricSwellingEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_swelling_eigenstrain
[]
[]Burnup and fission gas production and release models are:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[UCO_burnup]
type = TRISOBurnup<<<{"description": "Computes burnup given fission rate density and initial density, initial enrichment, and molar mass of the kernel.", "href": "../../../source/materials/TRISOBurnup.html"}>>>
initial_density<<<{"description": "initial density of the kernel (kg/m^3)"}>>> = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR<<<{"description": "Fission gas release model for UCO", "href": "../../../source/materials/UCOFGR.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
average_grain_radius<<<{"description": "Average grain radius (m)"}>>> = 10e-6
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
cutoff_neutron_flux<<<{"description": "The cutoff fast neutron flux for enabling the Booth fractional release calculations during accident simulation conditions."}>>> = 0.0
[]
[]The Arrhenius diffusion model is:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[fuel_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 5.6e-8 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 209.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 5.2e-4 # m^2/s
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 362.0e+3 # J/mol
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]Buffer Layer
Thermal and mechanical properties of the buffer are:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[buffer_thermal]
type = BufferThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for Buffer.", "href": "../../../source/materials/BufferThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
initial_density<<<{"description": "Initial density for Buffer."}>>> = 1050.0
[]
[buffer_thermal_strain]
type = BufferThermalExpansionEigenstrain<<<{"description": "Computes thermal expansion (/K) and associated eigenstrain (dimensionless) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = buffer_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor<<<{"description": "Computes Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for the buffer layer in TRISO fuels.", "href": "../../../source/materials/solid_mechanics/BufferElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_stress]
type = BufferCEGACreep<<<{"description": "Computes irradiation-induced creep ((MPa-n/m^2)^-1) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_IIDC_strain]
type = BufferCEGAIrradiationEigenstrain<<<{"description": "Irradiation eigenstrain for Buffer", "href": "../../../source/materials/solid_mechanics/BufferCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = buffer_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]The Arrhenius diffusion model is:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[buffer_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 1.0e-12 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 0.0
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 0.0
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 0.0
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]PyC Layer
Pyrolytic carbon makes up the inner PyC (IPyC) and outer PyC (OPyC) layers.
Thermal and mechanical properties of PyC are:
Thermal conductivity is set to 4.0 W/m-K (Nabielek et al., 1992).
Specific heat capacity is set to 720.0 J/kg-K (Barabash et al., 2002).
Elastic properties. The Poisson’s ratio is set to a constant value of 0.33 for UCO in (Miller et al., 2018) and 0.23 for UN in (Miller et al., 2018).
Irradiation-induced dimensional change eigenstrain models:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[IPyC_thermal]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[IPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than or equal to 1.0."}>>> = 1.045
[]
[IPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]The Arrhenius diffusion model is:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[IPyC_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 6.3e-8 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 222.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 0.0
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 0.0
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]SiC Layer
Thermal and mechanical properties of SiC are:
Thermal expansion coefficient is set to -/K according to (Miller et al., 2018; Ho, 1993). The thermal coefficient of SiC MonolithicSiCThermalExpansionEigenstrain taken from Snead et al. (2007) was used for UN TRISO fuel under LWR irradiation conditions by (Collin, 2014).
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[SiC_thermal]
type = MonolithicSiCThermal<<<{"description": "Computes thermal conductivity and specific heat of monolithic silicon carbide.", "href": "../../../source/materials/MonolithicSiCThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled Temperature"}>>> = temperature
thermal_conductivity_model<<<{"description": "Options for the correlation used to calculate thermal conductivity"}>>> = miller
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 4.9e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = SiC_thermal_eigenstrain
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor<<<{"description": "Computes the Young's modulus and Poisson's ratio for monolithic silicon carbide (CVD) cladding using relations as a function of temperature.", "href": "../../../source/materials/solid_mechanics/MonolithicSiCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
elastic_modulus_model<<<{"description": "Options for the correlation used to calculate the Young's modulus."}>>> = miller
[]
[]The Arrhenius diffusion model is:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[SiC_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 5.5e-14 # m^2/s
d1_function<<<{"description": "Function to be multiplied by d1"}>>> = d1_function
d1_function_variable<<<{"description": "Variable to be used when evaluating d1_function. If not given, time will be used."}>>> = fast_neutron_fluence
q1<<<{"description": "First activation energy (J/mol)"}>>> = 125.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 1.6e-2 # m^2/s
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 514.0e+3 # J/mol
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]Graphite Matrix
Graphite is not modeled in this tutorial, but its properties are listed below for completeness.
Thermal and mechanical properties of graphite matrix are:
The elastic modulus of the matrix is set to 10 GPa (Verfondern et al., 2013), which is an average value of radial and tangential elastic moduli for A3-3, and A3-27 matrix materials.
The Poisson's ratio of the matrix is set to 0.25 (Burchell, 2014), which is a typical value for nuclear-grade graphite, and is used for lack of specific data for matrix material.
Complete Input File Example
Note that a complete input file includes several sections not mentioned above:
GlobalParamswhere parameters can be set and referenced by any other input blockProblemwhere the coordinate system type is definedVariableswhere solution variables are definedAuxVariableswhere other field variables are defined, often for outputFunctionswhere defined functions are listedPhysics/SolidMechanics/QuasiStaticwhere connections between stress and strain are listedKernelswhere the terms in the partial differential equations being solved are givenAuxKernelswhere the instructions for computingAuxVariablesare givenContactandThermalContactwhere the interactions between the outer buffer and inner IPyC surfaces are declaredBCswhere boundary conditions are definedDampers,Debug,Preconditioning, andExecutionerwhere solver controls and requests for information about the solver are listedPostprocessorswhere scalar-valued outputs requestedOutputswhere output files are defined
Details about these sections are found in the BISON Syntax and Reference Manual.
The complete input file is shown below.
# UCO TRISO particle using several PARFUME models
initial_fuel_density = 10400
[GlobalParams<<<{"href": "../../../syntax/GlobalParams/index.html"}>>>]
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.1955 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 923.15 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.5 # Initial Oxygen to Uranium atom ratio
C_U = 0.4 # Initial Carbon to Uranium atom ratio
[]
[Mesh<<<{"href": "../../../syntax/Mesh/index.html"}>>>]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator<<<{"description": "Creates a 1D mesh for use with TRISO analysis.", "href": "../../../source/meshgenerators/TRISO1DMeshGenerator.html"}>>>
elem_type<<<{"description": "The type of element from libMesh to generate"}>>> = EDGE3
coordinates<<<{"description": "Radial coordinates of mesh block boundaries."}>>> = '0 2.125e-4 3.125e-4 3.125e-4 3.525e-4 3.875e-4 4.275e-4'
mesh_density<<<{"description": "A list giving the number of elements in each interval (could be zero for a gap)."}>>> = '6 6 0 6 8 6'
block_names<<<{"description": "A list of names to be assigned to the mesh blocks."}>>> = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem<<<{"href": "../../../syntax/Problem/index.html"}>>>]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects<<<{"href": "../../../syntax/UserObjects/index.html"}>>>]
[particle_geometry]
type = TRISOGeometry<<<{"description": "Computes TRISO Geometry.", "href": "../../../source/userobject/TRISOGeometry.html"}>>>
[]
[]
[Variables<<<{"href": "../../../syntax/Variables/index.html"}>>>]
[temperature]
initial_condition<<<{"description": "Specifies a constant initial condition for this variable"}>>> = 923.15
[]
[conc]
initial_condition<<<{"description": "Specifies a constant initial condition for this variable"}>>> = 0.0
scaling<<<{"description": "Specifies a scaling factor to apply to this variable"}>>> = 1e18
[]
[]
[AuxVariables<<<{"href": "../../../syntax/AuxVariables/index.html"}>>>]
[disp_y]
[]
[disp_z]
[]
[fission_rate]
block = fuel
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[burnup]
block = fuel
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_flux]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_fluence]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[gap_condSlave]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[density]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[thermal_conductivity]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[swelling]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[specific_heat]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[volumetric_IIDC_strain]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[radial_IIDC_strain]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[tangential_IIDC_strain]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[BAF]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fis_gas_produced]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fis_gas_released]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[gap_HTC]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[gap_distance]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[]
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[power_history]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
x<<<{"description": "The abscissa values"}>>> = '0 76e6 76.001e6'
y<<<{"description": "The ordinate values"}>>> = '1 1 0'
[]
[fission_rate]
type = LinearCombinationFunction<<<{"description": "Returns the linear combination of the functions", "href": "../../../source/functions/LinearCombinationFunction.html"}>>>
functions<<<{"description": "This function will return Sum_over_i(w_i * functions_i)"}>>> = power_history
w<<<{"description": "This function will return Sum_over_i(w_i * functions_i)"}>>> = 3.89e19
[]
[temp_bc]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
x<<<{"description": "The abscissa values"}>>> = '0 76e6 76.001e6 84.641e6 84.6482e6'
y<<<{"description": "The ordinate values"}>>> = '1500 1500 300 300 2073'
[]
[k_function]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
x<<<{"description": "The abscissa values"}>>> = '0 200e6'
y<<<{"description": "The ordinate values"}>>> = '4e-37 4e-37'
[]
[d1_function]
type = ParsedFunction<<<{"description": "Function created by parsing a string", "href": "../../../source/functions/MooseParsedFunction.html"}>>>
expression<<<{"description": "The user defined function."}>>> = 'exp(t/4.5e25)'
[]
[d_gap]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
x<<<{"description": "The abscissa values"}>>> = '1500 2100'
y<<<{"description": "The ordinate values"}>>> = '1e-14 1e-12'
[]
[]
[Physics<<<{"href": "../../../syntax/Physics/index.html"}>>>/SolidMechanics<<<{"href": "../../../syntax/Physics/SolidMechanics/index.html"}>>>/QuasiStatic<<<{"href": "../../../syntax/Physics/SolidMechanics/QuasiStatic/index.html"}>>>]
[fuel]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = fuel
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'UCO_swelling_eigenstrain UCO_thermal_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[buffer]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = buffer
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'buffer_IIDC_strain buffer_thermal_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[IPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = IPyC
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'IPyC_IIDC_strain IPyC_thermal_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[SiC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = SiC
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'SiC_thermal_eigenstrain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[OPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = OPyC
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'OPyC_IIDC_strain OPyC_thermal_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[]
[Kernels<<<{"href": "../../../syntax/Kernels/index.html"}>>>]
[heat_ie]
type = HeatConductionTimeDerivative<<<{"description": "Time derivative term $\\rho c_p \\frac{\\partial T}{\\partial t}$ of the thermal energy conservation equation.", "href": "../../../source/kernels/HeatConductionTimeDerivative.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat]
type = HeatConduction<<<{"description": "Diffusive heat conduction term $-\\nabla\\cdot(k\\nabla T)$ of the thermal energy conservation equation", "href": "../../../source/kernels/HeatConduction.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat_source]
type = NeutronHeatSource<<<{"description": "Compute heat generation due to fission.", "href": "../../../source/kernels/NeutronHeatSource.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
fission_rate<<<{"description": "Coupled Fission Rate"}>>> = fission_rate
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[mass_ie]
type = TimeDerivative<<<{"description": "The time derivative operator with the weak form of $(\\psi_i, \\frac{\\partial u_h}{\\partial t})$.", "href": "../../../source/kernels/TimeDerivative.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = conc
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[mass]
type = ArrheniusDiffusion<<<{"description": "Diffusion with Arrhenius coefficient", "href": "../../../source/kernels/ArrheniusDiffusion.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = conc
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[mass_source]
type = BodyForce<<<{"description": "Demonstrates the multiple ways that scalar values can be introduced into kernels, e.g. (controllable) constants, functions, and postprocessors. Implements the weak form $(\\psi_i, -f)$.", "href": "../../../source/kernels/BodyForce.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = conc
function<<<{"description": "A function that describes the body force"}>>> = power_history
value<<<{"description": "Coefficient to multiply by the body force term"}>>> = 1.22e-5 # units of mol/m**3-s
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[mass_decay]
type = Decay<<<{"description": "Computes changing concentration due to radioactive decay.", "href": "../../../source/kernels/Decay.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = conc
radioactive_decay_constant<<<{"description": "Radioactive decay constant"}>>> = 7.297e-10 # units:(1/sec) The constant for Cesium
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[]
[AuxKernels<<<{"href": "../../../syntax/AuxKernels/index.html"}>>>]
[fissionrate]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fission_rate
property<<<{"description": "The material property name."}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[burnup]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = burnup
property<<<{"description": "The material property name."}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_flux
property<<<{"description": "The material property name."}>>> = fast_neutron_flux
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_fluence
property<<<{"description": "The material property name."}>>> = fast_neutron_fluence
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[conductanceSlave]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
property<<<{"description": "The material property name."}>>> = gap_conductance
variable<<<{"description": "The name of the variable that this object applies to"}>>> = gap_condSlave
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = buffer_outer_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[density]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = density
property<<<{"description": "The material property name."}>>> = density
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial linear'
[]
[thermal_conductivity]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = thermal_conductivity
property<<<{"description": "The material property name."}>>> = thermal_conductivity
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[specific_heat]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = specific_heat
property<<<{"description": "The material property name."}>>> = specific_heat
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[swelling]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = swelling
property<<<{"description": "The material property name."}>>> = swelling
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = linear
[]
[volumetric_IIDC_strain]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = volumetric_IIDC_strain
property<<<{"description": "The material property name."}>>> = volumetric_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[radial_IIDC_strain]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = radial_IIDC_strain
property<<<{"description": "The material property name."}>>> = radial_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[tangential_IIDC_strain]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = tangential_IIDC_strain
property<<<{"description": "The material property name."}>>> = tangential_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[BAF]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = BAF
property<<<{"description": "The material property name."}>>> = BAF
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[fis_gas_produced]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fis_gas_produced
property<<<{"description": "The material property name."}>>> = fis_gas_produced
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = linear
[]
[fis_gas_released]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fis_gas_released
property<<<{"description": "The material property name."}>>> = fis_gas_released
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = linear
[]
[gap_HTC]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
property<<<{"description": "The material property name."}>>> = gap_conductance
variable<<<{"description": "The name of the variable that this object applies to"}>>> = gap_HTC
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = buffer_outer_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[gap_distance]
type = PenetrationAux<<<{"description": "Auxiliary Kernel for computing several geometry related quantities between two contacting bodies.", "href": "../../../source/auxkernels/PenetrationAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = gap_distance
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = buffer_outer_boundary
paired_boundary<<<{"description": "The boundary to be penetrated"}>>> = IPyC_inner_boundary
quantity<<<{"description": "The quantity to recover from the available penetration information"}>>> = distance
tangential_tolerance<<<{"description": "Tangential distance to extend edges of contact surfaces"}>>> = 1e-6
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[]
[Contact<<<{"href": "../../../syntax/Contact/index.html"}>>>]
[mechanical]
primary<<<{"description": "The list of boundary IDs referring to primary sidesets"}>>> = IPyC_inner_boundary
secondary<<<{"description": "The list of boundary IDs referring to secondary sidesets"}>>> = buffer_outer_boundary
penalty<<<{"description": "The penalty to apply. This can vary depending on the stiffness of your materials"}>>> = 1e5
model<<<{"description": "The contact model to use"}>>> = frictionless
formulation<<<{"description": "The contact formulation"}>>> = kinematic
[]
[]
[ThermalContact<<<{"href": "../../../syntax/Modules/HeatTransfer/ThermalContact/index.html"}>>>]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
initial_gas_types = 'Kr Xe'
initial_fractions = '0.185 0.815'
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[cesium_contact]
type = GapHeatTransfer
variable = conc
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[BCs<<<{"href": "../../../syntax/NuclearMaterials/BCs/index.html"}>>>]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_x
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = xzero
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = FunctionDirichletBC<<<{"description": "Imposes the essential boundary condition $u=g(t,\\vec{x})$, where $g$ is a (possibly) time and space-dependent MOOSE Function.", "href": "../../../source/bcs/FunctionDirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
function<<<{"description": "The forcing function."}>>> = temp_bc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
# fix concentration on free surface
[freesurf_conc]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = conc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure<<<{"description": "Applies a pressure on a given boundary in a given direction", "href": "../../../source/bcs/Pressure.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_x
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
factor<<<{"description": "The magnitude to use in computing the pressure"}>>> = 0.1e6
[]
[PlenumPressure<<<{"href": "../../../syntax/BCs/PlenumPressure/index.html"}>>>] # apply gas pressure on buffer and IPyC boundaries
[plenumPressure]
boundary<<<{"description": "The list of boundary IDs from the mesh where the pressure will be applied"}>>> = buffer_IPyC_boundary
initial_pressure<<<{"description": "The initial pressure in the cavity. If not given, a zero initial pressure will be used."}>>> = 100.0
startup_time<<<{"description": "The amount of time during which the pressure will ramp from zero to its true value."}>>> = 0
R<<<{"description": "The universal gas constant for the units used."}>>> = 8.3145
output_initial_moles<<<{"description": "The name to use when reporting the initial moles of gas"}>>> = initial_moles
temperature<<<{"description": "The name of the average temperature postprocessor value."}>>> = ave_gas_temp
volume<<<{"description": "The name of the postprocessor(s) that holds the value of the internal volume in the cavity"}>>> = 'gap_volume buffer_void_volume kernel_void_volume'
material_input<<<{"description": "The name of the postprocessor(s) that holds the amount of material injected into the plenum."}>>> = 'fis_gas_released'
output<<<{"description": "The name to use for the cavity pressure value"}>>> = gas_pressure
[]
[]
[]
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[fission_rate]
type = GenericFunctionMaterial<<<{"description": "Material object for declaring properties that are populated by evaluation of Function object.", "href": "../../../source/materials/GenericFunctionMaterial.html"}>>>
prop_names<<<{"description": "The names of the properties this material will have"}>>> = fission_rate
prop_values<<<{"description": "The corresponding names of the functions that are going to provide the values for the variables"}>>> = fission_rate
[]
[fast_neutron_flux]
type = FastNeutronFlux<<<{"description": "Computes fast neutron flux.", "href": "../../../source/materials/FastNeutronFlux.html"}>>>
calculate_fluence<<<{"description": "Flag to calculate fluence from the flux."}>>> = true
flux_function<<<{"description": "The function that describes the fast neutron flux"}>>> = power_history
factor<<<{"description": "Constant multiplied against the function, rod average linear power, or q_variable."}>>> = 5e17
[]
[normal_vectors_triso]
type = NormalVectorsTRISO<<<{"description": "Computes the normal vectors for TRISO layers.", "href": "../../../source/materials/NormalVectorsTRISO.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'buffer IPyC OPyC'
[]
### UCO properties
[UCO_burnup]
type = TRISOBurnup<<<{"description": "Computes burnup given fission rate density and initial density, initial enrichment, and molar mass of the kernel.", "href": "../../../source/materials/TRISOBurnup.html"}>>>
initial_density<<<{"description": "initial density of the kernel (kg/m^3)"}>>> = ${initial_fuel_density}
[]
[UCO_thermal]
type = UCOThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for UCO.", "href": "../../../source/materials/UCOThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor<<<{"description": "Computes the Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain<<<{"description": "Computes fission-induced swelling (percent per percent FIMA) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOVolumetricSwellingEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_swelling_eigenstrain
[]
[UCO_thermal_strain]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 10e-6 # check this value for UCO
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR<<<{"description": "Fission gas release model for UCO", "href": "../../../source/materials/UCOFGR.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
average_grain_radius<<<{"description": "Average grain radius (m)"}>>> = 10e-6
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
cutoff_neutron_flux<<<{"description": "The cutoff fast neutron flux for enabling the Booth fractional release calculations during accident simulation conditions."}>>> = 0.0
[]
[fuel_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 5.6e-8 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 209.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 5.2e-4 # m^2/s
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 362.0e+3 # J/mol
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
### Buffer Properties
[buffer_elasticity_tensor]
type = BufferElasticityTensor<<<{"description": "Computes Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for the buffer layer in TRISO fuels.", "href": "../../../source/materials/solid_mechanics/BufferElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_stress]
type = BufferCEGACreep<<<{"description": "Computes irradiation-induced creep ((MPa-n/m^2)^-1) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_thermal]
type = BufferThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for Buffer.", "href": "../../../source/materials/BufferThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
initial_density<<<{"description": "Initial density for Buffer."}>>> = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 1050.0
[]
[buffer_thermal_strain]
type = BufferThermalExpansionEigenstrain<<<{"description": "Computes thermal expansion (/K) and associated eigenstrain (dimensionless) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = buffer_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_IIDC_strain]
type = BufferCEGAIrradiationEigenstrain<<<{"description": "Irradiation eigenstrain for Buffer", "href": "../../../source/materials/solid_mechanics/BufferCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = buffer_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 1.0e-12 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 0.0
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 0.0
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 0.0
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
### IPyC properties
[IPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than or equal to 1.0."}>>> = 1.045
[]
[IPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 1900.0
[]
[IPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[BAF_IPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.045
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.045
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
[]
[IPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 6.3e-8 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 222.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 0.0
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 0.0
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
### SiC properties
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor<<<{"description": "Computes the Young's modulus and Poisson's ratio for monolithic silicon carbide (CVD) cladding using relations as a function of temperature.", "href": "../../../source/materials/solid_mechanics/MonolithicSiCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
elastic_modulus_model<<<{"description": "Options for the correlation used to calculate the Young's modulus."}>>> = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal<<<{"description": "Computes thermal conductivity and specific heat of monolithic silicon carbide.", "href": "../../../source/materials/MonolithicSiCThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled Temperature"}>>> = temperature
thermal_conductivity_model<<<{"description": "Options for the correlation used to calculate thermal conductivity"}>>> = miller
[]
[SiC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 3200.0
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 4.9e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = SiC_thermal_eigenstrain
[]
[SiC_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 5.5e-14 # m^2/s
d1_function<<<{"description": "Function to be multiplied by d1"}>>> = d1_function
d1_function_variable<<<{"description": "Variable to be used when evaluating d1_function. If not given, time will be used."}>>> = fast_neutron_fluence
q1<<<{"description": "First activation energy (J/mol)"}>>> = 125.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 1.6e-2 # m^2/s
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 514.0e+3 # J/mol
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
### OPyC properties
[OPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than or equal to 1.0."}>>> = 1.045
[]
[OPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 1900.0
[]
[OPyC_IIDC_strain]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[OPyC_thermal_strain]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_thermal_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[OPyC_conc]
type = ArrheniusDiffusionCoef<<<{"description": "Computes a two-term Arrhenius diffusion coefficient", "href": "../../../source/materials/ArrheniusDiffusionCoef.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
d1<<<{"description": "First coefficient (m**2/s)"}>>> = 6.3e-8 # m^2/s
q1<<<{"description": "First activation energy (J/mol)"}>>> = 222.0e+3 # J/mol
d2<<<{"description": "Second coefficient (m**2/s)"}>>> = 0.0
q2<<<{"description": "Second activation energy (J/mol)"}>>> = 0.0
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]
[Dampers<<<{"href": "../../../syntax/Dampers/index.html"}>>>]
[temp]
type = MaxIncrement<<<{"description": "Limits a variable's update by some max fraction", "href": "../../../source/dampers/MaxIncrement.html"}>>>
variable<<<{"description": "The name of the variable that this damper operates on"}>>> = temperature
max_increment<<<{"description": "The maximum newton increment for the variable."}>>> = 50
[]
[disp_x]
type = MaxIncrement<<<{"description": "Limits a variable's update by some max fraction", "href": "../../../source/dampers/MaxIncrement.html"}>>>
variable<<<{"description": "The name of the variable that this damper operates on"}>>> = disp_x
max_increment<<<{"description": "The maximum newton increment for the variable."}>>> = 1e-6
[]
[]
[Debug<<<{"href": "../../../syntax/Debug/index.html"}>>>]
show_var_residual_norms<<<{"description": "Print the residual norms of the individual solution variables at each nonlinear iteration"}>>> = true
show_var_residual<<<{"description": "Variables for which residuals will be sent to the output file."}>>> = 'disp_x temperature conc'
[]
[Preconditioning<<<{"href": "../../../syntax/Preconditioning/index.html"}>>>]
[smp]
type = SMP<<<{"description": "Single matrix preconditioner (SMP) builds a preconditioner using user defined off-diagonal parts of the Jacobian.", "href": "../../../source/preconditioners/SingleMatrixPreconditioner.html"}>>>
full<<<{"description": "Set to true if you want the full set of couplings between variables simply for convenience so you don't have to set every off_diag_row and off_diag_column combination."}>>> = true
[]
[]
[Executioner<<<{"href": "../../../syntax/Executioner/index.html"}>>>]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-7 #1e-12
nl_max_its = 15
l_tol = 1e-4 #1e-8
l_max_its = 50
start_time = 0.0
end_time = 85.3682e6 #5.0e7
num_steps = 1000
dtmax = 2e6
dtmin = 1
[TimeStepper<<<{"href": "../../../syntax/Executioner/TimeStepper/index.html"}>>>]
type = IterationAdaptiveDT
dt = 20
growth_factor = 1.5
optimal_iterations = 8 #6
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[Quadrature<<<{"href": "../../../syntax/Executioner/Quadrature/index.html"}>>>]
order<<<{"description": "Order of the quadrature"}>>> = THIRD
[]
[]
[Postprocessors<<<{"href": "../../../syntax/Postprocessors/index.html"}>>>]
[_dt]
type = TimestepSize<<<{"description": "Reports the timestep size", "href": "../../../source/postprocessors/TimestepSize.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_end
[]
[cs_release]
type = SideIntegralMassFlux<<<{"description": "Computes the integrated mass flux over a given surface.", "href": "../../../source/postprocessors/SideIntegralMassFlux.html"}>>>
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = conc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
[int_cs_release]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../../../source/postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = cs_release
[]
[cs_release_fuel]
type = SideIntegralMassFlux<<<{"description": "Computes the integrated mass flux over a given surface.", "href": "../../../source/postprocessors/SideIntegralMassFlux.html"}>>>
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = conc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = fuel_outer_boundary
[]
[int_cs_release_fuel]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../../../source/postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = cs_release_fuel
[]
[cs_release_PyCGapBndry]
type = SideIntegralMassFlux<<<{"description": "Computes the integrated mass flux over a given surface.", "href": "../../../source/postprocessors/SideIntegralMassFlux.html"}>>>
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = conc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = IPyC_inner_boundary
[]
[int_cs_release_PyCGapBndry]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../../../source/postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = cs_release_PyCGapBndry
[]
[ave_gas_temp]
type = ElementAverageValue<<<{"description": "Computes the volumetric average of a variable", "href": "../../../source/postprocessors/ElementAverageValue.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[ave_gap_temp]
type = SideAverageValue<<<{"description": "Computes the average value of a variable on a sideset. Note that this cannot be used on the centerline of an axisymmetric model.", "href": "../../../source/postprocessors/SideAverageValue.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty<<<{"description": "Compute the integral of the material property over the domain", "href": "../../../source/postprocessors/ElementIntegralMaterialProperty.html"}>>>
mat_prop<<<{"description": "The name of the material property"}>>> = fis_gas_produced
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty<<<{"description": "Compute the integral of the material property over the domain", "href": "../../../source/postprocessors/ElementIntegralMaterialProperty.html"}>>>
mat_prop<<<{"description": "The name of the material property"}>>> = fis_gas_released
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial linear'
use_displaced_mesh<<<{"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."}>>> = true
[]
[buffer_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = 2250
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity<<<{"description": "Computes UCO theoretical density.", "href": "../../../source/postprocessors/UCOTheoreticalDensity.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = initial
[]
[kernel_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = kernel_th_density
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[volumeTotal]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
scale_factor<<<{"description": "A scale factor to be applied to the internal volume calculation"}>>> = -1
[]
[volumeFuel]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = fuel_outer_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
scale_factor<<<{"description": "A scale factor to be applied to the internal volume calculation"}>>> = -1
[]
[volumeGas]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_outer_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
scale_factor<<<{"description": "A scale factor to be applied to the internal volume calculation"}>>> = -1
addition<<<{"description": "An additional volume to be included in the internal volume calculation. A time-dependent function is expected."}>>> = 4.67e-11
[]
[volumeBufferShell]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_outer_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[ave_temp_interior]
type = SideAverageValue<<<{"description": "Computes the average value of a variable on a sideset. Note that this cannot be used on the centerline of an axisymmetric model.", "href": "../../../source/postprocessors/SideAverageValue.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_outer_boundary
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[gap_HTC]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = gap_HTC
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "../../../source/postprocessors/ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
fission_rate<<<{"description": "Coupled fission rate"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
energy_per_fission<<<{"description": "Energy released per fission (J/fission)"}>>> = 1.0
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = exodus
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../../../source/postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = total_fission_rate
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = exodus
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[avg_surface_temp]
type = SideAverageValue<<<{"description": "Computes the average value of a variable on a sideset. Note that this cannot be used on the centerline of an axisymmetric model.", "href": "../../../source/postprocessors/SideAverageValue.html"}>>>
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temperature
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = exodus
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../../../source/postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = avg_surface_temp
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = exodus
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "../../../source/postprocessors/ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
use_material_fission_rate<<<{"description": "Flag to use the material 'fission_rate_material' instead of variable fission rate"}>>> = true
fission_rate_material<<<{"description": "Fission rate material property name"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = fast_neutron_fluence
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
#### II strain
[OPyC_radial_IIDC_strain]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = radial_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[OPyC_tangential_IIDC_strain]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = tangential_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[IPyC_radial_IIDC_strain]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = radial_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[IPyC_tangential_IIDC_strain]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = tangential_IIDC_strain
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
#### temperatures
[max_T_kernel]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_T_buffer]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[min_T_buffer]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'min'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_T_IPyC]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_T_SiC]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
#### displacement BCs
[max_disp_kernel]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = disp_x
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[min_disp_buffer]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = disp_x
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'min'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_disp_IPyC]
type = NodalExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/NodalExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = disp_x
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
#### hoop stresses
[hoop_opyc_max]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_sic_max]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_ipyc_max]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_buffer_max]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_opyc_min]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = min
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_sic_min]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = min
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_ipyc_min]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = min
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[hoop_buffer_min]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = stress_yy
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = min
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
### Check warning for Density
[oPyC_density]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = density
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[sic_density]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = density
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[IPyC_density]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = density
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[buffer_density]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = density
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[kernel_density]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = density
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[pd_penetration]
type = PdPenetration<<<{"description": "Penetration depth of palladium into the SiC layer of TRISO fuel particles", "href": "../../../source/postprocessors/PdPenetration.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = SiC_inner_boundary
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[]
[Outputs<<<{"href": "../../../syntax/Outputs/index.html"}>>>]
print_linear_residuals<<<{"description": "Enable printing of linear residuals to the screen (Console)"}>>> = true
time_step_interval<<<{"description": "The interval (number of time steps) at which output occurs"}>>> = 1
exodus<<<{"description": "Output the results using the default settings for Exodus output."}>>> = true
csv<<<{"description": "Output the scalar variable and postprocessors to a *.csv file using the default CSV output."}>>> = true
perf_graph<<<{"description": "Enable printing of the performance graph to the screen (Console)"}>>> = true
[]Failure Probability Calculation
Monte Carlo
A Monte Carlo scheme is used to compute failure probability for a statistically sampled batch of particles. For each realization of the randomized parameters, a 1D TRISO model is run to compute stresses and determine whether failure has occurred. The final probability is computed as a the ratio of the number of failed particles to the total number of particles. The Monte Carlo simulation requires two input files as provided below.
1D TRISO Input
The complete input file for the 1D TRISO problem is provided in Listing 1.
Listing 1: Complete input file for 1D TRISO.
initial_fuel_density = 5
[GlobalParams<<<{"href": "../../../syntax/GlobalParams/index.html"}>>>]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh<<<{"href": "../../../syntax/Mesh/index.html"}>>>]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator<<<{"description": "Creates a 1D mesh for use with five-layer TRISO analysis.", "href": "../../../source/meshgenerators/TRISO1DFiveLayerMeshGenerator.html"}>>>
elem_type<<<{"description": "The type of element from libMesh to generate"}>>> = EDGE3
kernel_radius<<<{"description": "Radius of fuel kernel."}>>> = 213.35e-6
buffer_thickness<<<{"description": "Thickness of buffer layer."}>>> = 98.9e-6
IPyC_thickness<<<{"description": "Thickness of IPyC layer."}>>> = 40.4e-6
SiC_thickness<<<{"description": "Thickness of SiC layer."}>>> = 35.2e-6
OPyC_thickness<<<{"description": "Thickness of OPyC layer."}>>> = 43.4e-6
kernel_mesh_density<<<{"description": "Number of elements in the kernel mesh."}>>> = ${initial_fuel_density}
buffer_mesh_density<<<{"description": "Number of elements in the buffer mesh."}>>> = 3
IPyC_mesh_density<<<{"description": "Number of elements in the IPyC mesh."}>>> = 5
SiC_mesh_density<<<{"description": "Number of elements in the SiC mesh."}>>> = 3
OPyC_mesh_density<<<{"description": "Number of elements in the OPyC mesh."}>>> = 4
[]
[]
[Problem<<<{"href": "../../../syntax/Problem/index.html"}>>>]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects<<<{"href": "../../../syntax/UserObjects/index.html"}>>>]
[particle_geometry]
type = TRISOGeometry<<<{"description": "Computes TRISO Geometry.", "href": "../../../source/userobject/TRISOGeometry.html"}>>>
outer_OPyC<<<{"description": "Sideset for outer OPyC"}>>> = OPyC_outer_boundary
outer_SiC<<<{"description": "Sideset for outer SiC"}>>> = SiC_outer_boundary
outer_IPyC<<<{"description": "Sideset for outer IPyC"}>>> = IPyC_outer_boundary
inner_IPyC<<<{"description": "Sideset for inner IPyC"}>>> = IPyC_inner_boundary
outer_buffer<<<{"description": "Sideset for outer buffer"}>>> = buffer_outer_boundary
outer_kernel<<<{"description": "Sideset for outer kernel"}>>> = fuel_outer_boundary
include_particle<<<{"description": "Set as true to output particle geometry."}>>> = true
include_pebble<<<{"description": "Set as true to output pebble geometry."}>>> = false
IPyC_thickness_mean<<<{"description": "IPyC thickness mean value."}>>> = 40.4e-6
SiC_thickness_mean<<<{"description": "SiC thickness mean value."}>>> = 35.2e-6
OPyC_thickness_mean<<<{"description": "OPyC thickness mean value."}>>> = 43.4e-6
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'INITIAL TIMESTEP_END'
[]
[sic_failure_terminator]
type = Terminator<<<{"description": "Requests termination of the current solve based on the evaluation of a parsed logical expression of the Postprocessor value(s).", "href": "../../../source/userobjects/Terminator.html"}>>>
expression<<<{"description": "FParser expression to process Postprocessor values into a boolean value. Termination of the simulation occurs when this returns true."}>>> = 'sic_failure_overall > 0'
[]
[]
[Variables<<<{"href": "../../../syntax/Variables/index.html"}>>>]
[temperature]
initial_condition<<<{"description": "Specifies a constant initial condition for this variable"}>>> = 481
[]
[]
[AuxVariables<<<{"href": "../../../syntax/AuxVariables/index.html"}>>>]
[fission_rate]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[burnup]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_flux]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_fluence]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[]
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[temp_bc]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
data_file<<<{"description": "File holding CSV data"}>>> = outer_temp.csv
x_index_in_file<<<{"description": "The abscissa index in the data file"}>>> = 0
y_index_in_file<<<{"description": "The ordinate index in the data file"}>>> = 1
format<<<{"description": "Format of csv data file that is in either in columns or rows"}>>> = columns
[]
[fission_rate]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = '1403604095.0794'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 5.95176524e3 -2.25337303e8'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 1.43220859e4 -5.17689523e7'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 -1.25870267e4 1.81620484e8'
correlation_factor<<<{"description": "The correlation factor."}>>> = -1.2447543093270736
[]
[high_fidelity_strength_debonding]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = '1705800293.3578'
[]
[stress_correlation_debonding]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
correlation_factor<<<{"description": "The correlation factor."}>>> = -0.14916368684964607
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = '1371700806.9481'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 1.00595402e3 1.43530004e7'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 3.27925856e3 -2.02308753e8'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 2.07404580e3 -6.12612615e6'
correlation_factor<<<{"description": "The correlation factor."}>>> = 1.5191967993808713
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 -5.81891553e3 -2.81628655e7'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 1.00990700e4 -5.55290343e8'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 -3.59151050e3 -2.65952373e7'
correlation_factor<<<{"description": "The correlation factor."}>>> = 1.3915168526633837
[]
[]
[Physics<<<{"href": "../../../syntax/Physics/index.html"}>>>/SolidMechanics<<<{"href": "../../../syntax/Physics/SolidMechanics/index.html"}>>>/QuasiStatic<<<{"href": "../../../syntax/Physics/SolidMechanics/QuasiStatic/index.html"}>>>]
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
[fuel]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = fuel
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[buffer]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = buffer
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[IPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = IPyC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[SiC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = SiC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'SiC_thermal_eigenstrain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[OPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = OPyC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[]
[Kernels<<<{"href": "../../../syntax/Kernels/index.html"}>>>]
[heat_ie]
type = HeatConductionTimeDerivative<<<{"description": "Time derivative term $\\rho c_p \\frac{\\partial T}{\\partial t}$ of the thermal energy conservation equation.", "href": "../../../source/kernels/HeatConductionTimeDerivative.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat]
type = HeatConduction<<<{"description": "Diffusive heat conduction term $-\\nabla\\cdot(k\\nabla T)$ of the thermal energy conservation equation", "href": "../../../source/kernels/HeatConduction.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat_source]
type = NeutronHeatSource<<<{"description": "Compute heat generation due to fission.", "href": "../../../source/kernels/NeutronHeatSource.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
fission_rate<<<{"description": "Coupled Fission Rate"}>>> = fission_rate
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[]
[AuxKernels<<<{"href": "../../../syntax/AuxKernels/index.html"}>>>]
[fissionrate]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fission_rate
property<<<{"description": "The material property name."}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[burnup]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = burnup
property<<<{"description": "The material property name."}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_flux
property<<<{"description": "The material property name."}>>> = fast_neutron_flux
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_fluence
property<<<{"description": "The material property name."}>>> = fast_neutron_fluence
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[]
[ThermalContact<<<{"href": "../../../syntax/Modules/HeatTransfer/ThermalContact/index.html"}>>>]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs<<<{"href": "../../../syntax/NuclearMaterials/BCs/index.html"}>>>]
[no_disp_x]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_x
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = xzero
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC<<<{"description": "Imposes the essential boundary condition $u=g(t,\\vec{x})$, where $g$ is a (possibly) time and space-dependent MOOSE Function.", "href": "../../../source/bcs/FunctionDirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
function<<<{"description": "The forcing function."}>>> = temp_bc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
[exterior_pressure_x]
type = Pressure<<<{"description": "Applies a pressure on a given boundary in a given direction", "href": "../../../source/bcs/Pressure.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_x
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
factor<<<{"description": "The magnitude to use in computing the pressure"}>>> = 0.1e6
[]
[PlenumPressure<<<{"href": "../../../syntax/BCs/PlenumPressure/index.html"}>>>]
[plenumPressure]
boundary<<<{"description": "The list of boundary IDs from the mesh where the pressure will be applied"}>>> = buffer_IPyC_boundary
startup_time<<<{"description": "The amount of time during which the pressure will ramp from zero to its true value."}>>> = 1e4
initial_pressure<<<{"description": "The initial pressure in the cavity. If not given, a zero initial pressure will be used."}>>> = 0
R<<<{"description": "The universal gas constant for the units used."}>>> = 8.3145
output_initial_moles<<<{"description": "The name to use when reporting the initial moles of gas"}>>> = initial_moles
temperature<<<{"description": "The name of the average temperature postprocessor value."}>>> = ave_gas_temp
volume<<<{"description": "The name of the postprocessor(s) that holds the value of the internal volume in the cavity"}>>> = 'gap_volume buffer_void_volume kernel_void_volume'
material_input<<<{"description": "The name of the postprocessor(s) that holds the amount of material injected into the plenum."}>>> = 'fis_gas_released'
output<<<{"description": "The name to use for the cavity pressure value"}>>> = gas_pressure
[]
[]
[]
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[radial_stress]
type = RankTwoCylindricalComponent<<<{"description": "Compute components of a rank-2 tensor in a cylindrical coordinate system", "href": "../../../source/materials/RankTwoCylindricalComponent.html"}>>>
rank_two_tensor<<<{"description": "The rank two material property tensor name"}>>> = stress
cylindrical_axis_point1<<<{"description": "Start point for determining axis of rotation for cylindrical stress/strain components"}>>> = '0 0 0'
cylindrical_axis_point2<<<{"description": "End point for determining axis of rotation for cylindrical stress/strain components"}>>> = '0 0 1'
cylindrical_component<<<{"description": "Type of cylindrical scalar output"}>>> = RadialStress
property_name<<<{"description": "Name of the material property computed by this model"}>>> = radial_stress
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = all
[]
[fission_rate]
type = GenericFunctionMaterial<<<{"description": "Material object for declaring properties that are populated by evaluation of Function object.", "href": "../../../source/materials/GenericFunctionMaterial.html"}>>>
prop_names<<<{"description": "The names of the properties this material will have"}>>> = fission_rate
prop_values<<<{"description": "The corresponding names of the functions that are going to provide the values for the variables"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux<<<{"description": "Computes fast neutron flux.", "href": "../../../source/materials/FastNeutronFlux.html"}>>>
calculate_fluence<<<{"description": "Flag to calculate fluence from the flux."}>>> = true
factor<<<{"description": "Constant multiplied against the function, rod average linear power, or q_variable."}>>> = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup<<<{"description": "Computes burnup given fission rate density and initial density, initial enrichment, and molar mass of the kernel.", "href": "../../../source/materials/TRISOBurnup.html"}>>>
initial_density<<<{"description": "initial density of the kernel (kg/m^3)"}>>> = 10966
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_thermal]
type = UCOThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for UCO.", "href": "../../../source/materials/UCOThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor<<<{"description": "Computes the Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain<<<{"description": "Computes fission-induced swelling (percent per percent FIMA) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOVolumetricSwellingEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 10.0e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 10966
[]
[fission_gas_release]
type = UCOFGR<<<{"description": "Fission gas release model for UCO", "href": "../../../source/materials/UCOFGR.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
average_grain_radius<<<{"description": "Average grain radius (m)"}>>> = 10e-6
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
cutoff_neutron_flux<<<{"description": "The cutoff fast neutron flux for enabling the Booth fractional release calculations during accident simulation conditions."}>>> = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.0465
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.0429
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor<<<{"description": "Computes Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for the buffer layer in TRISO fuels.", "href": "../../../source/materials/solid_mechanics/BufferElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_stress]
type = BufferCEGACreep<<<{"description": "Computes irradiation-induced creep ((MPa-n/m^2)^-1) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_thermal]
type = BufferThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for Buffer.", "href": "../../../source/materials/BufferThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
initial_density<<<{"description": "Initial density for Buffer."}>>> = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain<<<{"description": "Computes thermal expansion (/K) and associated eigenstrain (dimensionless) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = Buffer_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain<<<{"description": "Irradiation eigenstrain for Buffer", "href": "../../../source/materials/solid_mechanics/BufferCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = Buffer_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
[]
[IPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
creep_rate_scale_factor<<<{"description": "Scale factor to be applied on the creep rate."}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO<<<{"description": "Computes the normal vectors for TRISO layers.", "href": "../../../source/materials/NormalVectorsTRISO.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
irradiation_eigenstrain_scale_factor<<<{"description": "Scale factor for PyC IIDC"}>>> = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor<<<{"description": "Computes the Young's modulus and Poisson's ratio for monolithic silicon carbide (CVD) cladding using relations as a function of temperature.", "href": "../../../source/materials/solid_mechanics/MonolithicSiCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
elastic_modulus_model<<<{"description": "Options for the correlation used to calculate the Young's modulus."}>>> = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal<<<{"description": "Computes thermal conductivity and specific heat of monolithic silicon carbide.", "href": "../../../source/materials/MonolithicSiCThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled Temperature"}>>> = temperature
thermal_conductivity_model<<<{"description": "Options for the correlation used to calculate thermal conductivity"}>>> = miller
[]
[SiC_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 4.9e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than or equal to 1.0."}>>> = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
creep_rate_scale_factor<<<{"description": "Scale factor to be applied on the creep rate."}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
irradiation_eigenstrain_scale_factor<<<{"description": "Scale factor for PyC IIDC"}>>> = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
prop_values<<<{"description": "The values associated with the named properties"}>>> = '9640000'
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength<<<{"description": "Computes characteristic strength of pyrocarbons: Pa-m^(3/modulus).", "href": "../../../source/materials/PyCCharacteristicStrength.html"}>>>
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
X<<<{"description": "Fitting parameter."}>>> = 1.02
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
[]
[]
[Dampers<<<{"href": "../../../syntax/Dampers/index.html"}>>>]
[temp]
type = MaxIncrement<<<{"description": "Limits a variable's update by some max fraction", "href": "../../../source/dampers/MaxIncrement.html"}>>>
variable<<<{"description": "The name of the variable that this damper operates on"}>>> = temperature
max_increment<<<{"description": "The maximum newton increment for the variable."}>>> = 100
[]
[]
[Preconditioning<<<{"href": "../../../syntax/Preconditioning/index.html"}>>>]
[smp]
type = SMP<<<{"description": "Single matrix preconditioner (SMP) builds a preconditioner using user defined off-diagonal parts of the Jacobian.", "href": "../../../source/preconditioners/SingleMatrixPreconditioner.html"}>>>
full<<<{"description": "Set to true if you want the full set of couplings between variables simply for convenience so you don't have to set every off_diag_row and off_diag_column combination."}>>> = true
[]
[]
[Executioner<<<{"href": "../../../syntax/Executioner/index.html"}>>>]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors<<<{"href": "../../../syntax/Postprocessors/index.html"}>>>]
[ave_gas_temp]
type = ElementAverageValue<<<{"description": "Computes the volumetric average of a variable", "href": "../../../source/postprocessors/ElementAverageValue.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty<<<{"description": "Compute the integral of the material property over the domain", "href": "../../../source/postprocessors/ElementIntegralMaterialProperty.html"}>>>
mat_prop<<<{"description": "The name of the material property"}>>> = fis_gas_released
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
use_displaced_mesh<<<{"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."}>>> = false
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial linear'
use_displaced_mesh<<<{"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."}>>> = true
[]
[buffer_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = 2250
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity<<<{"description": "Computes UCO theoretical density.", "href": "../../../source/postprocessors/UCOTheoreticalDensity.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = initial
[]
[kernel_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = kernel_th_density
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[particle_power]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "../../../source/postprocessors/ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
use_material_fission_rate<<<{"description": "Flag to use the material 'fission_rate_material' instead of variable fission rate"}>>> = true
fission_rate_material<<<{"description": "Fission rate material property name"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = fast_neutron_fluence
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty<<<{"description": "Determines the minimum or maximum of a material property over a volume.", "href": "../../../source/postprocessors/ElementExtremeMaterialProperty.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
value_type<<<{"description": "Type of extreme value to return: 'max' returns the maximum value and 'min' returns the minimum value."}>>> = min
mat_prop<<<{"description": "Material property for which to find the extreme"}>>> = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../../../source/postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../../../source/postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = stress_yy
high_fidelity_analysis_strength<<<{"description": "The effective mean strength obtained from a high-fidelity analysis."}>>> = 'high_fidelity_strength_asphericity'
stress_correlation_function<<<{"description": "The stress correlation function obtained from a high-fidelity analysis."}>>> = 'stress_correlation_asphericity'
stress_change_correlation_function<<<{"description": "Correlation function of stress change from minumum to maximum during the irradiation history obtained from a high-fidelity analysis."}>>> = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../../../source/postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../../../source/postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 9.5
stress_name<<<{"description": "Name of the stress property."}>>> = max_principal_stress
effective_mean_strength<<<{"description": "The name of the postprocessor calculating the effective mean strength."}>>> = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../../../source/postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = stress_yy
high_fidelity_analysis_strength<<<{"description": "The effective mean strength obtained from a high-fidelity analysis."}>>> = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function<<<{"description": "The stress correlation function obtained from a high-fidelity analysis."}>>> = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_debonding]
type = TRISODebondingFailureIndicator<<<{"description": "Computes debonding failure indicator of TRISO layers.", "href": "../../../source/postprocessors/TRISODebondingFailureIndicator.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = IPyC_outer_boundary
bond_strength<<<{"description": "bond strength is treated as a parameter having a Gaussian distribution with a specific mean value and standard deviation."}>>> = 10e6
stress_name<<<{"description": "Name of the stress property."}>>> = radial_stress
[]
[failure_indicator_SiC_debonding]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../../../source/postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = stress_yy
high_fidelity_analysis_strength<<<{"description": "The effective mean strength obtained from a high-fidelity analysis."}>>> = 'high_fidelity_strength_debonding'
stress_correlation_function<<<{"description": "The stress correlation function obtained from a high-fidelity analysis."}>>> = 'stress_correlation_debonding'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation<<<{"description": "Computes particle failure based on Weibull statistical theory. It returns either 1 or 0, indicating fails or not fail.", "href": "../../../source/postprocessors/TRISOFailureEvaluation.html"}>>>
IPyC_failure<<<{"description": "The name of the postprocessor calculating the IPyC failure."}>>> = failure_indicator_IPyC
SiC_failure_crackedIPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked IPyC."}>>> = failure_indicator_SiC_crackedIPyC
SiC_failure<<<{"description": "The name of the postprocessor calculating the SiC failure."}>>> = failure_indicator_SiC
SiC_failure_pd_penetration<<<{"description": "The name of the postprocessor calculating the SiC failure due to palladium penetration."}>>> = failure_indicator_pd_penetration
SiC_failure_kernel_migration<<<{"description": "The name of the postprocessor calculating the SiC failure due to kernel migration."}>>> = failure_indicator_kernel_migration
failure_type<<<{"description": "The TRISO failure type"}>>> = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation<<<{"description": "Computes particle failure based on Weibull statistical theory. It returns either 1 or 0, indicating fails or not fail.", "href": "../../../source/postprocessors/TRISOFailureEvaluation.html"}>>>
IPyC_failure<<<{"description": "The name of the postprocessor calculating the IPyC failure."}>>> = failure_indicator_IPyC
SiC_failure_crackedIPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked IPyC."}>>> = failure_indicator_SiC_crackedIPyC
SiC_failure<<<{"description": "The name of the postprocessor calculating the SiC failure."}>>> = failure_indicator_SiC
failure_type<<<{"description": "The TRISO failure type"}>>> = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation<<<{"description": "Computes particle failure based on Weibull statistical theory. It returns either 1 or 0, indicating fails or not fail.", "href": "../../../source/postprocessors/TRISOFailureEvaluation.html"}>>>
IPyC_failure<<<{"description": "The name of the postprocessor calculating the IPyC failure."}>>> = failure_indicator_IPyC
SiC_failure_crackedIPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked IPyC."}>>> = failure_indicator_SiC_crackedIPyC
SiC_failure<<<{"description": "The name of the postprocessor calculating the SiC failure."}>>> = failure_indicator_SiC
failure_type<<<{"description": "The TRISO failure type"}>>> = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation<<<{"description": "Computes particle failure based on Weibull statistical theory. It returns either 1 or 0, indicating fails or not fail.", "href": "../../../source/postprocessors/TRISOFailureEvaluation.html"}>>>
IPyC_failure<<<{"description": "The name of the postprocessor calculating the IPyC failure."}>>> = failure_indicator_IPyC
SiC_failure_crackedIPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked IPyC."}>>> = failure_indicator_SiC_crackedIPyC
SiC_failure<<<{"description": "The name of the postprocessor calculating the SiC failure."}>>> = failure_indicator_SiC
failure_type<<<{"description": "The TRISO failure type"}>>> = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[debonding]
type = TRISOFailureEvaluation<<<{"description": "Computes particle failure based on Weibull statistical theory. It returns either 1 or 0, indicating fails or not fail.", "href": "../../../source/postprocessors/TRISOFailureEvaluation.html"}>>>
IPyC_failure<<<{"description": "The name of the postprocessor calculating the IPyC failure."}>>> = failure_indicator_IPyC
SiC_failure_crackedIPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked IPyC."}>>> = failure_indicator_SiC_crackedIPyC
SiC_failure<<<{"description": "The name of the postprocessor calculating the SiC failure."}>>> = failure_indicator_SiC
IPyC_SiC_debonding<<<{"description": "The name of the postprocessor calculating the IPyC-SiC debonding."}>>> = failure_indicator_debonding
SiC_failure_debonding<<<{"description": "The name of the postprocessor calculating the SiC failure due to IPyC-SiC debonding."}>>> = failure_indicator_SiC_debonding
failure_type<<<{"description": "The TRISO failure type"}>>> = IPYC_SIC_DEBONDING
[]
[fluence_at_failure]
type = TRISOFailureOccurrenceStatus<<<{"description": "This postprocessor returns the status at the time when a specified failure occurs.", "href": "../../../source/postprocessors/TRISOFailureOccurrenceStatus.html"}>>>
failure_evaluation<<<{"description": "The name of the postprocessor calculating the failure evaluation."}>>> = ipyc_cracking
failure_information<<<{"description": "The name of the postprocessor calculating failure information."}>>> = max_fluence
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability<<<{"description": "Computes Weibull failure probability using principle of independent action (PIA) model.", "href": "../../../source/postprocessors/WeibullFailureProbability.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 9.5
characteristic_strength<<<{"description": "The material name of characteristic strength."}>>> = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability<<<{"description": "Computes Weibull failure probability using principle of independent action (PIA) model.", "href": "../../../source/postprocessors/WeibullFailureProbability.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
characteristic_strength<<<{"description": "The material name of characteristic strength."}>>> = characteristic_strength
[]
[pd_penetration]
type = PdPenetration<<<{"description": "Penetration depth of palladium into the SiC layer of TRISO fuel particles", "href": "../../../source/postprocessors/PdPenetration.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = SiC_inner_boundary
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator<<<{"description": "Determines whether the SiC layer fails based on palladium penetration depth.", "href": "../../../source/postprocessors/PdPenetrationFailureIndicator.html"}>>>
triso_geometry<<<{"description": "User object containing the TrisoGeometry"}>>> = particle_geometry
pd_penetration<<<{"description": "The name of the postprocessor that computes palladium penetration depth."}>>> = pd_penetration
[]
[kernel_migration_distance]
type = KernelMigrationDistance<<<{"description": "Calculates the kernel migration distance.", "href": "../../../source/postprocessors/KernelMigrationDistance.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'fuel buffer IPyC SiC OPyC'
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
temperature_gradient<<<{"description": "The Postprocessor that will give the temperature gradient across the particle."}>>> = 15000
kernel_type<<<{"description": "Kernel type"}>>> = UCO
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator<<<{"description": "Determines whether the SiC layer fails based on kernel migration distance.", "href": "../../../source/postprocessors/KernelMigrationFailureIndicator.html"}>>>
kernel_migration_distance<<<{"description": "The name of the postprocessor that computes kernel migration distance."}>>> = kernel_migration_distance
triso_geometry<<<{"description": "User object containing the TrisoGeometry"}>>> = particle_geometry
[]
[]
[Outputs<<<{"href": "../../../syntax/Outputs/index.html"}>>>]
print_linear_residuals<<<{"description": "Enable printing of linear residuals to the screen (Console)"}>>> = false
time_step_interval<<<{"description": "The interval (number of time steps) at which output occurs"}>>> = 1
csv<<<{"description": "Output the scalar variable and postprocessors to a *.csv file using the default CSV output."}>>> = false
exodus<<<{"description": "Output the results using the default settings for Exodus output."}>>> = false
perf_graph<<<{"description": "Enable printing of the performance graph to the screen (Console)"}>>> = true
print_linear_converged_reason<<<{"description": "Enable/disable printing of the linear solver convergence reason to the screen. This parameter only affects the output of the third-party solver (e.g. PETSc), not MOOSE itself."}>>> = false
print_nonlinear_converged_reason<<<{"description": "Enable/disable printing of the nonlinear solver convergence reason to the screen. This parameter only affects the output of the third-party solver (e.g. PETSc), not MOOSE itself."}>>> = false
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37035302.9179031 1395
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37210523.7059017 1394
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37401673.6564458 1383
37481319.4691724 1394
37576894.4444444 1397
37672469.4197165 1374
37768044.3949885 1371
37847690.2077151 1379
37943265.1829871 1368
38038840.1582591 1363
38118485.9709858 1378
38214060.9462578 1372
38293706.7589845 1374
38389281.7342565 1342
38484856.7095285 1351
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38660077.4975272 1362
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38851227.4480712 1357
38930873.2607979 1349
39026448.2360699 1354
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39201669.0240686 1338
39249456.5117046 1247
39265385.6742499 1021
39281314.8367953 1290
39313173.1618859 1188
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39345031.4869766 1246
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39472464.7873393 1251
39520252.2749753 824
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39631756.4127926 551
39711402.2255193 1201
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40539718.6778767 1414
40635293.6531487 1418
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41049451.8793274 1398
41129097.6920541 1404
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41288389.3175074 1405
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41543255.9182328 1384
41622901.7309594 1386
41702547.5436861 1398
41782193.3564128 1419
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42037059.9571381 1412
42116705.7698648 1406
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42530863.9960435 1412
42610509.8087702 1413
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42945022.2222222 1406
43024668.0349489 1415
43104313.8476756 1427
43183959.6604022 1419
43263605.4731289 1422
43343251.2858556 1423
43422897.0985823 1409
43502542.9113089 1402
43582188.7240356 1401
43661834.5367623 1391
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43789267.837125 523
43868913.6498516 968
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44028205.275305 1482
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44203426.0633037 1487
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45175104.9785691 1504
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45939704.7807451 1486
46035279.7560171 1483
46114925.5687438 1481
46210500.5440158 1476
46290146.3567425 1473
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46465367.1447412 1478
46545012.9574679 1464
46624658.7701945 1486
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46959171.1836466 1464
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47214037.7843719 1451
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47548550.1978239 1443
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47787487.636004 1425
47867133.4487306 1421
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48042354.2367293 1423
48122000.049456 1433
48201645.8621827 1426
48281291.6749093 1438
48313150 1312
Monte Carlo Input
The Monte Carlo input is used to define the samplers and distributions. The complete input file is provided in Listing 2. The failure index for each particle will be output in a csv file (default name is monte_carlo_out_failure_results_0001.csv) and a python script used to read the csv file and compute failure probability is included in examples/TRISO/failure_probability_monte_carlo (probability.py).
Listing 2: Complete input file for Monte Carlo.
[StochasticTools<<<{"href": "../../../syntax/StochasticTools/index.html"}>>>]
auto_create_executioner<<<{"description": "Automatically setup the Executioner block for a master application without a simulation."}>>> = false
[]
[Distributions<<<{"href": "../../../syntax/Distributions/index.html"}>>>]
[normal_kernel_r]
type = TruncatedNormal<<<{"description": "Truncated normal distribution", "href": "../../../source/distributions/TruncatedNormal.html"}>>>
mean<<<{"description": "Mean (or expectation) of the distribution."}>>> = 213.35e-6
standard_deviation<<<{"description": "Standard deviation of the distribution "}>>> = 4.4e-6
lower_bound<<<{"description": "Lower bound of the distribution "}>>> = 1.9575e-04
upper_bound<<<{"description": "Upper bound of the distribution "}>>> = 2.3095e-04
[]
[normal_buffer_t]
type = TruncatedNormal<<<{"description": "Truncated normal distribution", "href": "../../../source/distributions/TruncatedNormal.html"}>>>
mean<<<{"description": "Mean (or expectation) of the distribution."}>>> = 98.9e-6
standard_deviation<<<{"description": "Standard deviation of the distribution "}>>> = 8.4e-6
lower_bound<<<{"description": "Lower bound of the distribution "}>>> = 6.53e-05
upper_bound<<<{"description": "Upper bound of the distribution "}>>> = 1.325e-04
[]
[normal_ipyc_t]
type = TruncatedNormal<<<{"description": "Truncated normal distribution", "href": "../../../source/distributions/TruncatedNormal.html"}>>>
mean<<<{"description": "Mean (or expectation) of the distribution."}>>> = 40.4e-6
standard_deviation<<<{"description": "Standard deviation of the distribution "}>>> = 2.5e-6
lower_bound<<<{"description": "Lower bound of the distribution "}>>> = 3.0400e-05
upper_bound<<<{"description": "Upper bound of the distribution "}>>> = 5.0400e-05
[]
[normal_sic_t]
type = TruncatedNormal<<<{"description": "Truncated normal distribution", "href": "../../../source/distributions/TruncatedNormal.html"}>>>
mean<<<{"description": "Mean (or expectation) of the distribution."}>>> = 35.2e-6
standard_deviation<<<{"description": "Standard deviation of the distribution "}>>> = 1.2e-6
lower_bound<<<{"description": "Lower bound of the distribution "}>>> = 3.0400e-05
upper_bound<<<{"description": "Upper bound of the distribution "}>>> = 4.0000e-05
[]
[normal_opyc_t]
type = TruncatedNormal<<<{"description": "Truncated normal distribution", "href": "../../../source/distributions/TruncatedNormal.html"}>>>
mean<<<{"description": "Mean (or expectation) of the distribution."}>>> = 43.4e-6
standard_deviation<<<{"description": "Standard deviation of the distribution "}>>> = 2.9e-6
lower_bound<<<{"description": "Lower bound of the distribution "}>>> = 3.1800e-05
upper_bound<<<{"description": "Upper bound of the distribution "}>>> = 5.5000e-05
[]
[uniform]
type = Uniform<<<{"description": "Continuous uniform distribution.", "href": "../../../source/distributions/Uniform.html"}>>>
[]
[normal_bond_strength]
type = Normal<<<{"description": "Normal distribution", "href": "../../../source/distributions/Normal.html"}>>>
mean<<<{"description": "Mean (or expectation) of the distribution."}>>> = 20e6
standard_deviation<<<{"description": "Standard deviation of the distribution "}>>> = 1e5
[]
[]
[Samplers<<<{"href": "../../../syntax/Samplers/index.html"}>>>]
[sample]
type = MonteCarlo<<<{"description": "Monte Carlo Sampler.", "href": "../../../source/samplers/MonteCarloSampler.html"}>>>
num_rows<<<{"description": "The number of rows per matrix to generate."}>>> = 100 # Number of Monte Carlo samples
distributions<<<{"description": "The distribution names to be sampled, the number of distributions provided defines the number of columns per matrix."}>>> = 'normal_kernel_r normal_buffer_t normal_ipyc_t normal_sic_t normal_opyc_t uniform uniform uniform normal_bond_strength'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'PRE_MULTIAPP_SETUP'
[]
[]
[MultiApps<<<{"href": "../../../syntax/MultiApps/index.html"}>>>]
[sub]
type = SamplerFullSolveMultiApp<<<{"description": "Creates a full-solve type sub-application for each row of each Sampler matrix.", "href": "../../../source/multiapps/SamplerFullSolveMultiApp.html"}>>>
input_files<<<{"description": "The input file for each App. If this parameter only contains one input file it will be used for all of the Apps. When using 'positions_from_file' it is also admissable to provide one input_file per file."}>>> = triso_1d_function.i
sampler<<<{"description": "The Sampler object to utilize for creating MultiApps."}>>> = sample
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_BEGIN'
mode<<<{"description": "The operation mode, 'normal' creates one sub-application for each row in the Sampler and 'batch-reset' and 'batch-restore' creates N sub-applications, where N is the minimum of 'num_rows' in the Sampler and floor(number of processes / min_procs_per_app). To run the rows in the Sampler, 'batch-reset' will destroy and re-create sub-apps as needed, whereas the 'batch-restore' will backup and restore sub-apps to the initial state prior to execution, without destruction."}>>> = batch-reset
[]
[]
[Transfers<<<{"href": "../../../syntax/Transfers/index.html"}>>>]
[sic_failure_overall]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = sic_failure_overall
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = sic_failure_overall
[]
[ipyc_cracking]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = ipyc_cracking
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = ipyc_cracking
[]
[debonding]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = debonding
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = debonding
[]
[sic_failure_due_to_pressure]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = sic_failure_due_to_pressure
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = sic_failure_due_to_pressure
[]
[sic_failure_due_to_ipyc_cracking]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = sic_failure_due_to_ipyc_cracking
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = sic_failure_due_to_ipyc_cracking
[]
[max_fluence]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = max_fluence
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = max_fluence
[]
[fluence_at_failure]
type = SamplerPostprocessorTransfer<<<{"description": "Transfers data from Postprocessors on the sub-application to a VectorPostprocessor on the master application.", "href": "../../../source/transfers/SamplerPostprocessorTransfer.html"}>>>
from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = sub
sampler<<<{"description": "A the Sampler object that Transfer is associated.."}>>> = sample
to_vector_postprocessor<<<{"description": "The name of the VectorPostprocessor in the MultiApp to transfer values to."}>>> = fluence_at_failure
from_postprocessor<<<{"description": "The name(s) of the Postprocessor(s) on the sub-app to transfer from."}>>> = fluence_at_failure
[]
[]
[Controls<<<{"href": "../../../syntax/Controls/index.html"}>>>]
[cmdline]
type = MultiAppSamplerControl<<<{"description": "Control for modifying the command line arguments of MultiApps.", "href": "../../../source/controls/MultiAppSamplerControl.html"}>>>
multi_app<<<{"description": "The name of the MultiApp to control."}>>> = sub
sampler<<<{"description": "The Sampler object to utilize for altering the command line options of the MultiApp."}>>> = sample
param_names<<<{"description": "The names of the command line parameters to set via the sampled data."}>>> = 'Mesh/gen/kernel_radius Mesh/gen/buffer_thickness Mesh/gen/IPyC_thickness Mesh/gen/SiC_thickness Mesh/gen/OPyC_thickness Postprocessors/failure_indicator_IPyC/quantile Postprocessors/failure_indicator_SiC_crackedIPyC/quantile Postprocessors/failure_indicator_SiC/quantile Postprocessors/failure_indicator_debonding/bond_strength'
[]
[]
[VectorPostprocessors<<<{"href": "../../../syntax/VectorPostprocessors/index.html"}>>>]
[sic_failure_overall]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[ipyc_cracking]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[debonding]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[sic_failure_due_to_pressure]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[sic_failure_due_to_ipyc_cracking]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[sampler_data]
type = SamplerData<<<{"description": "Tool for extracting Sampler object data and storing in VectorPostprocessor vectors.", "href": "../../../source/vectorpostprocessors/SamplerData.html"}>>>
sampler<<<{"description": "The sample from which to extract distribution data."}>>> = sample
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[max_fluence]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[fluence_at_failure]
type = StochasticResults<<<{"description": "Storage container for stochastic simulation results coming from a Postprocessor.", "href": "../../../source/vectorpostprocessors/StochasticResults.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
[]
[]
[Executioner<<<{"href": "../../../syntax/Executioner/index.html"}>>>]
type = Steady
[]
[Outputs<<<{"href": "../../../syntax/Outputs/index.html"}>>>]
perf_graph<<<{"description": "Enable printing of the performance graph to the screen (Console)"}>>> = true
csv<<<{"description": "Output the scalar variable and postprocessors to a *.csv file using the default CSV output."}>>> = true
exodus<<<{"description": "Output the results using the default settings for Exodus output."}>>> = false
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_END'
print_linear_converged_reason<<<{"description": "Enable/disable printing of the linear solver convergence reason to the screen. This parameter only affects the output of the third-party solver (e.g. PETSc), not MOOSE itself."}>>> = false
print_nonlinear_converged_reason<<<{"description": "Enable/disable printing of the nonlinear solver convergence reason to the screen. This parameter only affects the output of the third-party solver (e.g. PETSc), not MOOSE itself."}>>> = false
[]High-fidelity Analysis
The current TRISO failure model implementation includes failure mechanisms due to pressure driven failure (with asphericity) and cracking of the IPyC layer. To account for these multi-dimensional phenomena within a 1D TRISO model, a high-fidelity analysis is first performed to obtain the mean strength based on the multi-dimensional stress distribution and stress correlation function.
The stress in the multi-dimensional particle having parameter that varies from its mean value by an amount is approximated as: where is the stress of the SiC layer for a multi-dimensional particle having all parameters set at the mean values, is the stress of the SiC layer for an intact 1D spherical particle having all parameters set at the mean values. is stress of the SiC layer for 1D spherical particle having statistically varying parameters, and is a fitted function that describes the variation of maximum stress in the SiC layer of a cracked/aspherical particle with parameter :
The function for each statistically varying parameter needs to be calculated prior to Monte Carlo simulation. The calculation involves running several 1D and 2D simulations. For cases where statistical variations are not considered in the stress correlation, can be simplified as one term (constant). Otherwise, the coefficients of linear and quadratic terms will be computed to obtain a higher-order correlation function.
Constant Correlation Function
IPyC Cracking
The maximum tangential stress histories in the SiC layer for both a cracked particle (near the crack tip) and an intact particle are shown in Figure 2. The maximum SiC stress in a cracked particle is approximated as: where and are the maximum stress calculated in the 2-D and 1-D analyses at the mean values for a specified batch of particles, respectively. Upon varying statistical parameters, the maximum stress in the SiC layer is determined from the 1-D finite element solution for . The mean strength of the 2-D model, as evaluated at the maximum tangential stress state, will be used for 1-D analysis.
commentnote
The crack formation and propagation is calculated by XFEM, and currently requires a mesh with linear (first order) elements.
Figure 2: IPyC cracking: tangential stress in SiC layer.
The complete 2D input file for IPyC cracking is provided in Listing 3.
Listing 3: Complete input file for 2D IPyC cracking.
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams<<<{"href": "../../../syntax/GlobalParams/index.html"}>>>]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh<<<{"href": "../../../syntax/Mesh/index.html"}>>>]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator<<<{"description": "Generates an axisymmetric mesh of a TRISO particle.", "href": "../../../source/meshgenerators/TRISO2DMeshGenerator.html"}>>>
elem_type<<<{"description": "Whether to generate quad8 or quad4 elements."}>>> = quad4
coordinates<<<{"description": "Radial coordinates of mesh block boundaries."}>>> = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density<<<{"description": "A list giving the number of elements in each interval (zero for a gap). The first entry is the number of radial elements outside the inner quadrilateral portion of the fuel mesh."}>>> = '20 8 0 4 4 4'
block_names<<<{"description": "A list of names to be assigned to the mesh blocks."}>>> = 'fuel buffer IPyC SiC OPyC'
num_sectors<<<{"description": "Number of azimuthal sectors in each quadrant. 'num_sectors' must be an even number."}>>> = 60
all_bottom_left<<<{"description": "Whether to generate sidesets for every bottom and left surface of mesh blocks."}>>> = True
[]
[]
[XFEM<<<{"href": "../../../syntax/XFEM/index.html"}>>>]
qrule<<<{"description": "XFEM quadrature rule to use"}>>> = volfrac
output_cut_plane<<<{"description": "Output the XFEM cut plane and volume fraction"}>>> = true
[]
[Problem<<<{"href": "../../../syntax/Problem/index.html"}>>>]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects<<<{"href": "../../../syntax/UserObjects/index.html"}>>>]
[ipyc_crack]
type = LineSegmentCutUserObject<<<{"description": "Creates a UserObject for a line segment cut on 2D meshes for XFEM", "href": "../../../source/userobjects/LineSegmentCutUserObject.html"}>>>
cut_data<<<{"description": "Vector of Real values providing cut information"}>>> = '0.0000 0 0.001 0'
time_start_cut<<<{"description": "Start time of geometric cut propagation"}>>> = 0.0
time_end_cut<<<{"description": "End time of geometric cut propagation"}>>> = 0.0
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
[]
[particle_geometry]
type = TRISOGeometry<<<{"description": "Computes TRISO Geometry.", "href": "../../../source/userobject/TRISOGeometry.html"}>>>
outer_OPyC<<<{"description": "Sideset for outer OPyC"}>>> = OPyC_outer_boundary
outer_SiC<<<{"description": "Sideset for outer SiC"}>>> = SiC_outer_boundary
outer_IPyC<<<{"description": "Sideset for outer IPyC"}>>> = IPyC_outer_boundary
inner_IPyC<<<{"description": "Sideset for inner IPyC"}>>> = IPyC_inner_boundary
outer_buffer<<<{"description": "Sideset for outer buffer"}>>> = buffer_outer_boundary
outer_kernel<<<{"description": "Sideset for outer kernel"}>>> = fuel_outer_boundary
include_particle<<<{"description": "Set as true to output particle geometry."}>>> = true
include_pebble<<<{"description": "Set as true to output pebble geometry."}>>> = false
mesh_generator<<<{"description": "The name of the TRISO 2D mesh generator."}>>> = mesh
[]
[]
[Variables<<<{"href": "../../../syntax/Variables/index.html"}>>>]
[temperature]
initial_condition<<<{"description": "Specifies a constant initial condition for this variable"}>>> = 481
[]
[]
[AuxVariables<<<{"href": "../../../syntax/AuxVariables/index.html"}>>>]
[fission_rate]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[burnup]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_flux]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_fluence]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[]
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[temp_bc]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
data_file<<<{"description": "File holding CSV data"}>>> = outer_temp.csv
x_index_in_file<<<{"description": "The abscissa index in the data file"}>>> = 0
y_index_in_file<<<{"description": "The ordinate index in the data file"}>>> = 1
format<<<{"description": "Format of csv data file that is in either in columns or rows"}>>> = columns
[]
[fission_rate]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = 5.75e19
[]
[]
[Physics<<<{"href": "../../../syntax/Physics/index.html"}>>>/SolidMechanics<<<{"href": "../../../syntax/Physics/SolidMechanics/index.html"}>>>/QuasiStatic<<<{"href": "../../../syntax/Physics/SolidMechanics/QuasiStatic/index.html"}>>>]
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress min_principal_stress'
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
[fuel]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = fuel
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[buffer]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = buffer
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[IPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = IPyC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[SiC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = SiC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'SiC_thermal_eigenstrain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[OPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = OPyC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[]
[Kernels<<<{"href": "../../../syntax/Kernels/index.html"}>>>]
[heat_ie]
type = HeatConductionTimeDerivative<<<{"description": "Time derivative term $\\rho c_p \\frac{\\partial T}{\\partial t}$ of the thermal energy conservation equation.", "href": "../../../source/kernels/HeatConductionTimeDerivative.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat]
type = HeatConduction<<<{"description": "Diffusive heat conduction term $-\\nabla\\cdot(k\\nabla T)$ of the thermal energy conservation equation", "href": "../../../source/kernels/HeatConduction.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat_source]
type = NeutronHeatSource<<<{"description": "Compute heat generation due to fission.", "href": "../../../source/kernels/NeutronHeatSource.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
fission_rate<<<{"description": "Coupled Fission Rate"}>>> = fission_rate
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[]
[AuxKernels<<<{"href": "../../../syntax/AuxKernels/index.html"}>>>]
[fissionrate]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fission_rate
property<<<{"description": "The material property name."}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[burnup]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = burnup
property<<<{"description": "The material property name."}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_flux
property<<<{"description": "The material property name."}>>> = fast_neutron_flux
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_fluence
property<<<{"description": "The material property name."}>>> = fast_neutron_fluence
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[]
[ThermalContact<<<{"href": "../../../syntax/Modules/HeatTransfer/ThermalContact/index.html"}>>>]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 5e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs<<<{"href": "../../../syntax/NuclearMaterials/BCs/index.html"}>>>]
[no_disp_x]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_x
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = xzero
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
[no_disp_y]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_y
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = '2001 2002 2004 2005'
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC<<<{"description": "Imposes the essential boundary condition $u=g(t,\\vec{x})$, where $g$ is a (possibly) time and space-dependent MOOSE Function.", "href": "../../../source/bcs/FunctionDirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
function<<<{"description": "The forcing function."}>>> = temp_bc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
[Pressure<<<{"href": "../../../syntax/BCs/Pressure/index.html"}>>>]
[exterior]
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = exterior
factor<<<{"description": "The magnitude to use in computing the pressure"}>>> = 0.1e6
[]
[]
[PlenumPressure<<<{"href": "../../../syntax/BCs/PlenumPressure/index.html"}>>>]
[plenumPressure]
boundary<<<{"description": "The list of boundary IDs from the mesh where the pressure will be applied"}>>> = buffer_IPyC_boundary
startup_time<<<{"description": "The amount of time during which the pressure will ramp from zero to its true value."}>>> = 1e4
initial_pressure<<<{"description": "The initial pressure in the cavity. If not given, a zero initial pressure will be used."}>>> = 0
R<<<{"description": "The universal gas constant for the units used."}>>> = 8.3145
output_initial_moles<<<{"description": "The name to use when reporting the initial moles of gas"}>>> = initial_moles
temperature<<<{"description": "The name of the average temperature postprocessor value."}>>> = ave_gas_temp
volume<<<{"description": "The name of the postprocessor(s) that holds the value of the internal volume in the cavity"}>>> = 'gap_volume buffer_void_volume kernel_void_volume'
material_input<<<{"description": "The name of the postprocessor(s) that holds the amount of material injected into the plenum."}>>> = 'fis_gas_released'
output<<<{"description": "The name to use for the cavity pressure value"}>>> = gas_pressure
[]
[]
[]
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[fission_rate]
type = GenericFunctionMaterial<<<{"description": "Material object for declaring properties that are populated by evaluation of Function object.", "href": "../../../source/materials/GenericFunctionMaterial.html"}>>>
prop_names<<<{"description": "The names of the properties this material will have"}>>> = fission_rate
prop_values<<<{"description": "The corresponding names of the functions that are going to provide the values for the variables"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux<<<{"description": "Computes fast neutron flux.", "href": "../../../source/materials/FastNeutronFlux.html"}>>>
calculate_fluence<<<{"description": "Flag to calculate fluence from the flux."}>>> = true
factor<<<{"description": "Constant multiplied against the function, rod average linear power, or q_variable."}>>> = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup<<<{"description": "Computes burnup given fission rate density and initial density, initial enrichment, and molar mass of the kernel.", "href": "../../../source/materials/TRISOBurnup.html"}>>>
initial_density<<<{"description": "initial density of the kernel (kg/m^3)"}>>> = ${initial_fuel_density}
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_thermal]
type = UCOThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for UCO.", "href": "../../../source/materials/UCOThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor<<<{"description": "Computes the Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain<<<{"description": "Computes fission-induced swelling (percent per percent FIMA) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOVolumetricSwellingEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 10.0e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR<<<{"description": "Fission gas release model for UCO", "href": "../../../source/materials/UCOFGR.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
average_grain_radius<<<{"description": "Average grain radius (m)"}>>> = 10e-6
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
cutoff_neutron_flux<<<{"description": "The cutoff fast neutron flux for enabling the Booth fractional release calculations during accident simulation conditions."}>>> = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO<<<{"description": "Computes the normal vectors for TRISO layers.", "href": "../../../source/materials/NormalVectorsTRISO.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'buffer IPyC OPyC'
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
[]
[BAF_IPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.0465
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.0429
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor<<<{"description": "Computes Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for the buffer layer in TRISO fuels.", "href": "../../../source/materials/solid_mechanics/BufferElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_stress]
type = BufferCEGACreep<<<{"description": "Computes irradiation-induced creep ((MPa-n/m^2)^-1) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_thermal]
type = BufferThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for Buffer.", "href": "../../../source/materials/BufferThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
initial_density<<<{"description": "Initial density for Buffer."}>>> = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain<<<{"description": "Computes thermal expansion (/K) and associated eigenstrain (dimensionless) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = Buffer_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain<<<{"description": "Irradiation eigenstrain for Buffer", "href": "../../../source/materials/solid_mechanics/BufferCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = Buffer_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
[]
[IPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
creep_rate_scale_factor<<<{"description": "Scale factor to be applied on the creep rate."}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[IPyC_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
irradiation_eigenstrain_scale_factor<<<{"description": "Scale factor for PyC IIDC"}>>> = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor<<<{"description": "Computes the Young's modulus and Poisson's ratio for monolithic silicon carbide (CVD) cladding using relations as a function of temperature.", "href": "../../../source/materials/solid_mechanics/MonolithicSiCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
elastic_modulus_model<<<{"description": "Options for the correlation used to calculate the Young's modulus."}>>> = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal<<<{"description": "Computes thermal conductivity and specific heat of monolithic silicon carbide.", "href": "../../../source/materials/MonolithicSiCThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled Temperature"}>>> = temperature
thermal_conductivity_model<<<{"description": "Options for the correlation used to calculate thermal conductivity"}>>> = miller
[]
[SiC_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 4.9e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than or equal to 1.0."}>>> = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
creep_rate_scale_factor<<<{"description": "Scale factor to be applied on the creep rate."}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[OPyC_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
irradiation_eigenstrain_scale_factor<<<{"description": "Scale factor for PyC IIDC"}>>> = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
prop_values<<<{"description": "The values associated with the named properties"}>>> = '9640000'
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength<<<{"description": "Computes characteristic strength of pyrocarbons: Pa-m^(3/modulus).", "href": "../../../source/materials/PyCCharacteristicStrength.html"}>>>
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
X<<<{"description": "Fitting parameter."}>>> = 1.02
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
[]
[]
[Dampers<<<{"href": "../../../syntax/Dampers/index.html"}>>>]
[temp]
type = MaxIncrement<<<{"description": "Limits a variable's update by some max fraction", "href": "../../../source/dampers/MaxIncrement.html"}>>>
variable<<<{"description": "The name of the variable that this damper operates on"}>>> = temperature
max_increment<<<{"description": "The maximum newton increment for the variable."}>>> = 100
[]
[]
[Preconditioning<<<{"href": "../../../syntax/Preconditioning/index.html"}>>>]
[smp]
type = SMP<<<{"description": "Single matrix preconditioner (SMP) builds a preconditioner using user defined off-diagonal parts of the Jacobian.", "href": "../../../source/preconditioners/SingleMatrixPreconditioner.html"}>>>
full<<<{"description": "Set to true if you want the full set of couplings between variables simply for convenience so you don't have to set every off_diag_row and off_diag_column combination."}>>> = true
[]
[]
[Executioner<<<{"href": "../../../syntax/Executioner/index.html"}>>>]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
automatic_scaling = true
[]
[Postprocessors<<<{"href": "../../../syntax/Postprocessors/index.html"}>>>]
[ave_gas_temp]
type = ElementAverageValue<<<{"description": "Computes the volumetric average of a variable", "href": "../../../source/postprocessors/ElementAverageValue.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty<<<{"description": "Compute the integral of the material property over the domain", "href": "../../../source/postprocessors/ElementIntegralMaterialProperty.html"}>>>
mat_prop<<<{"description": "The name of the material property"}>>> = fis_gas_released
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
use_displaced_mesh<<<{"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."}>>> = false
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial linear'
use_displaced_mesh<<<{"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."}>>> = true
[]
[buffer_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = 2250
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity<<<{"description": "Computes UCO theoretical density.", "href": "../../../source/postprocessors/UCOTheoreticalDensity.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = initial
[]
[kernel_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = kernel_th_density
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[particle_power]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "../../../source/postprocessors/ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
use_material_fission_rate<<<{"description": "Flag to use the material 'fission_rate_material' instead of variable fission rate"}>>> = true
fission_rate_material<<<{"description": "Fission rate material property name"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = fast_neutron_fluence
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty<<<{"description": "Determines the minimum or maximum of a material property over a volume.", "href": "../../../source/postprocessors/ElementExtremeMaterialProperty.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
value_type<<<{"description": "Type of extreme value to return: 'max' returns the maximum value and 'min' returns the minimum value."}>>> = max
mat_prop<<<{"description": "Material property for which to find the extreme"}>>> = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../../../source/postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability<<<{"description": "Computes Weibull failure probability using principle of independent action (PIA) model.", "href": "../../../source/postprocessors/WeibullFailureProbability.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
characteristic_strength<<<{"description": "The material name of characteristic strength."}>>> = characteristic_strength
[]
[]
[Outputs<<<{"href": "../../../syntax/Outputs/index.html"}>>>]
print_linear_residuals<<<{"description": "Enable printing of linear residuals to the screen (Console)"}>>> = true
time_step_interval<<<{"description": "The interval (number of time steps) at which output occurs"}>>> = 1
csv<<<{"description": "Output the scalar variable and postprocessors to a *.csv file using the default CSV output."}>>> = true
perf_graph<<<{"description": "Enable printing of the performance graph to the screen (Console)"}>>> = true
exodus<<<{"description": "Output the results using the default settings for Exodus output."}>>> = false
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The Bash script (run.sh) used to obtain correlation function data and Python script (correlation_function_sic.py) used to extract the data and calculate the stress correlation factor and effective mean strength are included in examples/TRISO/correlation_function/h_ipyc_cracking/sic.
Steps to generate the IPyC cracking constant correlation function are:
Set the
use_higher_order_correlationvariable toFalsein both the Bash and Python scripts.Next, the
sic_thickness=()variable in the# CONSTANT CALCULATIONsection of therun.shBash script must be set to the user specifications.The thickness is passed to the input files from
run.sh, and a 1D and 2D mesh are created internally with theTRISO1DMeshGeneratorandTRISO2DMeshGenerator, respectively, with the user defined layer thickness.
Execute
run.sh.Execute
correlation_function_sic.py.Enter the output from the
correlation_function_sic.pyscript in to the BISON input file as seen below.
Output from correlation_function_sic.py for IPyC cracking can be seen below:
~/projects/bison/examples/TRISO/correlation_function/h_ipyc_cracking/sic$ python correlation_function_sic.py
correlation factor = -1.2447543103484047
1D effective mean strength (Pa) = 645222154.38423
2D IPyC cracking effective mean strength (Pa) = 1403604095.5707
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
correlation_factor<<<{"description": "The correlation factor."}>>> = -1.2447543103484047
[]
[][Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = '1403604095.5707'
[]
[]Aspherical Particle
The tangential stress histories for representative faceted and spherical fuel particles are shown in Figure 3. In evaluating the effect of asphericity, a second term is added to correctly estimate the maximum stress, , for an aspherical particle: where , , and are changes in the stresses , , and , going from the minimum to the end of irradiation. If a second extremum (or maximum) occurs before the end of irradiation, , , and are taken as changes in these stresses, going from minimum to maximum. The additional term is needed because pressure vessel failure of aspherical particles typically occurs after the minimum stress is reached, when shrinkage effects from the PyC are decreasing and the inner pressure keeps accumulating. The mean effective strength of the 2-D model evaluated at the end of irradiation will be used in 1-D analysis.
Figure 3: Aspherical particle: tangential stress in SiC layer.
The complete 2D input file for asphericity is provided in Listing 4.
Listing 4: Complete input file for aspherical particle.
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams<<<{"href": "../../../syntax/GlobalParams/index.html"}>>>]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh<<<{"href": "../../../syntax/Mesh/index.html"}>>>]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator<<<{"description": "Generates an axisymmetric mesh of a TRISO particle.", "href": "../../../source/meshgenerators/TRISO2DMeshGenerator.html"}>>>
elem_type<<<{"description": "Whether to generate quad8 or quad4 elements."}>>> = quad4
coordinates<<<{"description": "Radial coordinates of mesh block boundaries."}>>> = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density<<<{"description": "A list giving the number of elements in each interval (zero for a gap). The first entry is the number of radial elements outside the inner quadrilateral portion of the fuel mesh."}>>> = '20 8 0 4 4 4'
block_names<<<{"description": "A list of names to be assigned to the mesh blocks."}>>> = 'fuel buffer IPyC SiC OPyC'
num_sectors<<<{"description": "Number of azimuthal sectors in each quadrant. 'num_sectors' must be an even number."}>>> = 60
aspect_ratio<<<{"description": "Aspect ratio (asphericity) of the particle, the largest particle diameter divided by the smallest particle diameter. See the documentation for details."}>>> = ${aspect_ratio}
all_bottom_left<<<{"description": "Whether to generate sidesets for every bottom and left surface of mesh blocks."}>>> = True
[]
[]
[Problem<<<{"href": "../../../syntax/Problem/index.html"}>>>]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects<<<{"href": "../../../syntax/UserObjects/index.html"}>>>]
[particle_geometry]
type = TRISOGeometry<<<{"description": "Computes TRISO Geometry.", "href": "../../../source/userobject/TRISOGeometry.html"}>>>
outer_OPyC<<<{"description": "Sideset for outer OPyC"}>>> = OPyC_outer_boundary
outer_SiC<<<{"description": "Sideset for outer SiC"}>>> = SiC_outer_boundary
outer_IPyC<<<{"description": "Sideset for outer IPyC"}>>> = IPyC_outer_boundary
inner_IPyC<<<{"description": "Sideset for inner IPyC"}>>> = IPyC_inner_boundary
outer_buffer<<<{"description": "Sideset for outer buffer"}>>> = buffer_outer_boundary
outer_kernel<<<{"description": "Sideset for outer kernel"}>>> = fuel_outer_boundary
include_particle<<<{"description": "Set as true to output particle geometry."}>>> = true
include_pebble<<<{"description": "Set as true to output pebble geometry."}>>> = false
mesh_generator<<<{"description": "The name of the TRISO 2D mesh generator."}>>> = mesh
[]
[]
[Variables<<<{"href": "../../../syntax/Variables/index.html"}>>>]
[temperature]
initial_condition<<<{"description": "Specifies a constant initial condition for this variable"}>>> = 481
[]
[]
[AuxVariables<<<{"href": "../../../syntax/AuxVariables/index.html"}>>>]
[fission_rate]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[burnup]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_flux]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[fast_neutron_fluence]
order<<<{"description": "Specifies the order of the FE shape function to use for this variable (additional orders not listed are allowed)"}>>> = CONSTANT
family<<<{"description": "Specifies the family of FE shape functions to use for this variable"}>>> = MONOMIAL
[]
[]
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[temp_bc]
type = PiecewiseLinear<<<{"description": "Linearly interpolates between pairs of x-y data", "href": "../../../source/functions/PiecewiseLinear.html"}>>>
data_file<<<{"description": "File holding CSV data"}>>> = outer_temp.csv
x_index_in_file<<<{"description": "The abscissa index in the data file"}>>> = 0
y_index_in_file<<<{"description": "The ordinate index in the data file"}>>> = 1
format<<<{"description": "Format of csv data file that is in either in columns or rows"}>>> = columns
[]
[fission_rate]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = 5.75e19
[]
[]
[Physics<<<{"href": "../../../syntax/Physics/index.html"}>>>/SolidMechanics<<<{"href": "../../../syntax/Physics/SolidMechanics/index.html"}>>>/QuasiStatic<<<{"href": "../../../syntax/Physics/SolidMechanics/QuasiStatic/index.html"}>>>]
generate_output<<<{"description": "Add scalar quantity output for stress and/or strain"}>>> = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables<<<{"description": "Add the displacement variables"}>>> = true
strain<<<{"description": "Strain formulation"}>>> = FINITE
incremental<<<{"description": "Use incremental or total strain (if not explicitly specified this defaults to incremental for finite strain and total for small strain)"}>>> = true
[fuel]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = fuel
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[buffer]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = buffer
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[IPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = IPyC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[SiC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = SiC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'SiC_thermal_eigenstrain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[OPyC]
block<<<{"description": "The list of ids of the blocks (subdomain) that the stress divergence kernels will be applied to"}>>> = OPyC
eigenstrain_names<<<{"description": "List of eigenstrains to be applied in this strain calculation"}>>> = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags<<<{"description": "The tag names for extra vectors that residual data should be saved into"}>>> = 'ref'
[]
[]
[Kernels<<<{"href": "../../../syntax/Kernels/index.html"}>>>]
[heat_ie]
type = HeatConductionTimeDerivative<<<{"description": "Time derivative term $\\rho c_p \\frac{\\partial T}{\\partial t}$ of the thermal energy conservation equation.", "href": "../../../source/kernels/HeatConductionTimeDerivative.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat]
type = HeatConduction<<<{"description": "Diffusive heat conduction term $-\\nabla\\cdot(k\\nabla T)$ of the thermal energy conservation equation", "href": "../../../source/kernels/HeatConduction.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[heat_source]
type = NeutronHeatSource<<<{"description": "Compute heat generation due to fission.", "href": "../../../source/kernels/NeutronHeatSource.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
fission_rate<<<{"description": "Coupled Fission Rate"}>>> = fission_rate
extra_vector_tags<<<{"description": "The extra tags for the vectors this Kernel should fill"}>>> = 'ref'
[]
[]
[AuxKernels<<<{"href": "../../../syntax/AuxKernels/index.html"}>>>]
[fissionrate]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fission_rate
property<<<{"description": "The material property name."}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[burnup]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = burnup
property<<<{"description": "The material property name."}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_flux
property<<<{"description": "The material property name."}>>> = fast_neutron_flux
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux<<<{"description": "Outputs element volume-averaged material properties", "href": "../../../source/auxkernels/MaterialRealAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = fast_neutron_fluence
property<<<{"description": "The material property name."}>>> = fast_neutron_fluence
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = timestep_begin
[]
[]
[ThermalContact<<<{"href": "../../../syntax/Modules/HeatTransfer/ThermalContact/index.html"}>>>]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs<<<{"href": "../../../syntax/NuclearMaterials/BCs/index.html"}>>>]
[no_disp_x]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_x
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = xzero
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
[no_disp_y]
type = DirichletBC<<<{"description": "Imposes the essential boundary condition $u=g$, where $g$ is a constant, controllable value.", "href": "../../../source/bcs/DirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = disp_y
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = bottom
value<<<{"description": "Value of the BC"}>>> = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC<<<{"description": "Imposes the essential boundary condition $u=g(t,\\vec{x})$, where $g$ is a (possibly) time and space-dependent MOOSE Function.", "href": "../../../source/bcs/FunctionDirichletBC.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = temperature
function<<<{"description": "The forcing function."}>>> = temp_bc
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
[Pressure<<<{"href": "../../../syntax/BCs/Pressure/index.html"}>>>]
[exterior]
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = exterior
factor<<<{"description": "The magnitude to use in computing the pressure"}>>> = 0.1e6
[]
[]
[PlenumPressure<<<{"href": "../../../syntax/BCs/PlenumPressure/index.html"}>>>]
[plenumPressure]
boundary<<<{"description": "The list of boundary IDs from the mesh where the pressure will be applied"}>>> = buffer_IPyC_boundary
startup_time<<<{"description": "The amount of time during which the pressure will ramp from zero to its true value."}>>> = 1e4
initial_pressure<<<{"description": "The initial pressure in the cavity. If not given, a zero initial pressure will be used."}>>> = 0
R<<<{"description": "The universal gas constant for the units used."}>>> = 8.3145
output_initial_moles<<<{"description": "The name to use when reporting the initial moles of gas"}>>> = initial_moles
temperature<<<{"description": "The name of the average temperature postprocessor value."}>>> = ave_gas_temp
volume<<<{"description": "The name of the postprocessor(s) that holds the value of the internal volume in the cavity"}>>> = 'gap_volume buffer_void_volume kernel_void_volume'
material_input<<<{"description": "The name of the postprocessor(s) that holds the amount of material injected into the plenum."}>>> = 'fis_gas_released'
output<<<{"description": "The name to use for the cavity pressure value"}>>> = gas_pressure
[]
[]
[]
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[tangential_stress]
type = RankTwoCylindricalComponent<<<{"description": "Compute components of a rank-2 tensor in a cylindrical coordinate system", "href": "../../../source/materials/RankTwoCylindricalComponent.html"}>>>
rank_two_tensor<<<{"description": "The rank two material property tensor name"}>>> = stress
cylindrical_axis_point1<<<{"description": "Start point for determining axis of rotation for cylindrical stress/strain components"}>>> = '0 0 0'
cylindrical_axis_point2<<<{"description": "End point for determining axis of rotation for cylindrical stress/strain components"}>>> = '0 0 1'
cylindrical_component<<<{"description": "Type of cylindrical scalar output"}>>> = HoopStress
property_name<<<{"description": "Name of the material property computed by this model"}>>> = tangential_stress
outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = all
[]
[fission_rate]
type = GenericFunctionMaterial<<<{"description": "Material object for declaring properties that are populated by evaluation of Function object.", "href": "../../../source/materials/GenericFunctionMaterial.html"}>>>
prop_names<<<{"description": "The names of the properties this material will have"}>>> = fission_rate
prop_values<<<{"description": "The corresponding names of the functions that are going to provide the values for the variables"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux<<<{"description": "Computes fast neutron flux.", "href": "../../../source/materials/FastNeutronFlux.html"}>>>
calculate_fluence<<<{"description": "Flag to calculate fluence from the flux."}>>> = true
factor<<<{"description": "Constant multiplied against the function, rod average linear power, or q_variable."}>>> = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup<<<{"description": "Computes burnup given fission rate density and initial density, initial enrichment, and molar mass of the kernel.", "href": "../../../source/materials/TRISOBurnup.html"}>>>
initial_density<<<{"description": "initial density of the kernel (kg/m^3)"}>>> = ${initial_fuel_density}
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_thermal]
type = UCOThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for UCO.", "href": "../../../source/materials/UCOThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor<<<{"description": "Computes the Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain<<<{"description": "Computes fission-induced swelling (percent per percent FIMA) for UCO.", "href": "../../../source/materials/solid_mechanics/UCOVolumetricSwellingEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 10.0e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR<<<{"description": "Fission gas release model for UCO", "href": "../../../source/materials/UCOFGR.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
average_grain_radius<<<{"description": "Average grain radius (m)"}>>> = 10e-6
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
cutoff_neutron_flux<<<{"description": "The cutoff fast neutron flux for enabling the Booth fractional release calculations during accident simulation conditions."}>>> = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.0465
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor<<<{"description": "Computes the bacon anistropy factor.", "href": "../../../source/materials/BaconAnisotropyFactor.html"}>>>
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than 1.0."}>>> = 1.0429
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor<<<{"description": "Computes Young's modulus (Pa) and elastic Poisson's ratio (dimensionless) for the buffer layer in TRISO fuels.", "href": "../../../source/materials/solid_mechanics/BufferElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_stress]
type = BufferCEGACreep<<<{"description": "Computes irradiation-induced creep ((MPa-n/m^2)^-1) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_thermal]
type = BufferThermal<<<{"description": "Computes thermal conductivity (W/m-K) and specific heat capacity (J/kg-K) for Buffer.", "href": "../../../source/materials/BufferThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
initial_density<<<{"description": "Initial density for Buffer."}>>> = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain<<<{"description": "Computes thermal expansion (/K) and associated eigenstrain (dimensionless) for Buffer.", "href": "../../../source/materials/solid_mechanics/BufferThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = Buffer_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain<<<{"description": "Irradiation eigenstrain for Buffer", "href": "../../../source/materials/solid_mechanics/BufferCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = Buffer_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO<<<{"description": "Computes the normal vectors for TRISO layers.", "href": "../../../source/materials/NormalVectorsTRISO.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'buffer IPyC OPyC'
triso_geometry<<<{"description": "TRISOGeometry user object name"}>>> = particle_geometry
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
[]
[IPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
creep_rate_scale_factor<<<{"description": "Scale factor to be applied on the creep rate."}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
irradiation_eigenstrain_scale_factor<<<{"description": "Scale factor for PyC IIDC"}>>> = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = IPyC_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor<<<{"description": "Computes the Young's modulus and Poisson's ratio for monolithic silicon carbide (CVD) cladding using relations as a function of temperature.", "href": "../../../source/materials/solid_mechanics/MonolithicSiCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled temperature"}>>> = temperature
elastic_modulus_model<<<{"description": "Options for the correlation used to calculate the Young's modulus."}>>> = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress<<<{"description": "Compute stress using elasticity for finite strains", "href": "../../../source/materials/ComputeFiniteStrainElasticStress.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal<<<{"description": "Computes thermal conductivity and specific heat of monolithic silicon carbide.", "href": "../../../source/materials/MonolithicSiCThermal.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
temperature<<<{"description": "Coupled Temperature"}>>> = temperature
thermal_conductivity_model<<<{"description": "Options for the correlation used to calculate thermal conductivity"}>>> = miller
[]
[SiC_density]
type = StrainAdjustedDensity<<<{"description": "Creates density material property", "href": "../../../source/materials/StrainAdjustedDensity.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
strain_free_density<<<{"description": "Material property for strain-free density"}>>> = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain<<<{"description": "Computes eigenstrain due to thermal expansion with a constant coefficient", "href": "../../../source/materials/ComputeThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
thermal_expansion_coeff<<<{"description": "Thermal expansion coefficient"}>>> = 4.9e-6
temperature<<<{"description": "Coupled temperature"}>>> = temperature
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor<<<{"description": "Computes PyC elasticity tensor", "href": "../../../source/materials/solid_mechanics/PyCElasticityTensor.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
initial_BAF<<<{"description": "Initial Bacon Anisotropy Factor (BAF) must be greater than or equal to 1.0."}>>> = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep<<<{"description": "Computes the irradiation creep (Miller's model) for PyC in an implicit manner.", "href": "../../../source/materials/solid_mechanics/PyCCEGACreep.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
creep_rate_scale_factor<<<{"description": "Scale factor to be applied on the creep rate."}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial<<<{"description": "General-purpose material model for heat conduction", "href": "../../../source/materials/HeatConductionMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
thermal_conductivity<<<{"description": "The thermal conductivity value"}>>> = 4.0
specific_heat<<<{"description": "The specific heat value"}>>> = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'density'
prop_values<<<{"description": "The values associated with the named properties"}>>> = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain<<<{"description": "Computes irradiation-induced dimensional changes (IIDC) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCCEGAIrradiationEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_IIDC_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
irradiation_eigenstrain_scale_factor<<<{"description": "Scale factor for PyC IIDC"}>>> = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain<<<{"description": "Computes the thermal expansion (per K) and associated eigenstrain (dimensionless) for PyC.", "href": "../../../source/materials/solid_mechanics/PyCThermalExpansionEigenstrain.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
eigenstrain_name<<<{"description": "Material property name for the eigenstrain tensor computed by this model. IMPORTANT: The name of this property must also be provided to the strain calculator."}>>> = OPyC_TE_strain
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial<<<{"description": "Declares material properties based on names and values prescribed by input parameters.", "href": "../../../source/materials/GenericConstantMaterial.html"}>>>
prop_values<<<{"description": "The values associated with the named properties"}>>> = '9640000'
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
prop_names<<<{"description": "The names of the properties this material will have"}>>> = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength<<<{"description": "Computes characteristic strength of pyrocarbons: Pa-m^(3/modulus).", "href": "../../../source/materials/PyCCharacteristicStrength.html"}>>>
temperature<<<{"description": "Coupled temperature (K)"}>>> = temperature
X<<<{"description": "Fitting parameter."}>>> = 1.02
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 'IPyC OPyC'
[]
[]
[Dampers<<<{"href": "../../../syntax/Dampers/index.html"}>>>]
[temp]
type = MaxIncrement<<<{"description": "Limits a variable's update by some max fraction", "href": "../../../source/dampers/MaxIncrement.html"}>>>
variable<<<{"description": "The name of the variable that this damper operates on"}>>> = temperature
max_increment<<<{"description": "The maximum newton increment for the variable."}>>> = 100
[]
[]
[Preconditioning<<<{"href": "../../../syntax/Preconditioning/index.html"}>>>]
[smp]
type = SMP<<<{"description": "Single matrix preconditioner (SMP) builds a preconditioner using user defined off-diagonal parts of the Jacobian.", "href": "../../../source/preconditioners/SingleMatrixPreconditioner.html"}>>>
full<<<{"description": "Set to true if you want the full set of couplings between variables simply for convenience so you don't have to set every off_diag_row and off_diag_column combination."}>>> = true
[]
[]
[Executioner<<<{"href": "../../../syntax/Executioner/index.html"}>>>]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors<<<{"href": "../../../syntax/Postprocessors/index.html"}>>>]
[ave_gas_temp]
type = ElementAverageValue<<<{"description": "Computes the volumetric average of a variable", "href": "../../../source/postprocessors/ElementAverageValue.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty<<<{"description": "Compute the integral of the material property over the domain", "href": "../../../source/postprocessors/ElementIntegralMaterialProperty.html"}>>>
mat_prop<<<{"description": "The name of the material property"}>>> = fis_gas_released
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
use_displaced_mesh<<<{"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."}>>> = false
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../../../source/postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial linear'
use_displaced_mesh<<<{"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."}>>> = true
[]
[buffer_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = buffer
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = 2250
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity<<<{"description": "Computes UCO theoretical density.", "href": "../../../source/postprocessors/UCOTheoreticalDensity.html"}>>>
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = initial
[]
[kernel_void_volume]
type = VoidVolume<<<{"description": "Computes void volume based on actual and theoretical density.", "href": "../../../source/postprocessors/VoidVolume.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
theoretical_density<<<{"description": "Theoretical density of the material (Postprocessor)."}>>> = kernel_th_density
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
use_displaced_mesh<<<{"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."}>>> = true
[]
[particle_power]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "../../../source/postprocessors/ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temperature
use_material_fission_rate<<<{"description": "Flag to use the material 'fission_rate_material' instead of variable fission rate"}>>> = true
fission_rate_material<<<{"description": "Fission rate material property name"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = fast_neutron_fluence
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../../../source/postprocessors/ElementExtremeValue.html"}>>>
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = burnup
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
value_type<<<{"description": "Type of extreme value to return. 'max' returns the maximum value. 'min' returns the minimum value. 'max_abs' returns the maximum of the absolute value."}>>> = 'max'
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'initial timestep_end'
[]
[SiC_stress]
type = ElementalVariableValue<<<{"description": "Outputs an elemental variable value at a particular location", "href": "../../../source/postprocessors/ElementalVariableValue.html"}>>>
elementid<<<{"description": "The ID of the element where we monitor"}>>> = 6300
variable<<<{"description": "The variable to be monitored"}>>> = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../../../source/postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
[]
[]
[Outputs<<<{"href": "../../../syntax/Outputs/index.html"}>>>]
print_linear_residuals<<<{"description": "Enable printing of linear residuals to the screen (Console)"}>>> = false
time_step_interval<<<{"description": "The interval (number of time steps) at which output occurs"}>>> = 1
csv<<<{"description": "Output the scalar variable and postprocessors to a *.csv file using the default CSV output."}>>> = true
perf_graph<<<{"description": "Enable printing of the performance graph to the screen (Console)"}>>> = true
exodus<<<{"description": "Output the results using the default settings for Exodus output."}>>> = true
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A Bash script (run.sh) used to obtain correlation function data and a Python script (correlation_function_sic.py) used to extract the data and calculate the stress correlation factor and effective mean strength are included in examples/TRISO/correlation_function/h_asphericity/sic.
Steps to generate the asphericity constant correlation function are:
Set the
use_higher_order_correlationvariable toFalsein both the Bash and Python scripts.Next, the
sic_thickness=()variable in the# CONSTANT CALCULATIONsection of therun.shBash script must be set to the user specifications.The thickness is passed to the input files from
run.sh, and a 1D and 2D mesh are created internally with the TRISO1DMeshGenerator and TRISO2DMeshGenerator, respectively, with the user defined layer thickness.
Execute
run.sh.Execute
correlation_function_sic.py.Enter the output from the
correlation_function_sic.pyscript in to the BISON input file as seen below.
Output from correlation_function_sic.py for asphericity can be seen below:
~/projects/bison/examples/TRISO/correlation_function/h_asphericity/sic$ python correlation_function_sic.py
correlation factor = 1.5191967987843993
1D effective mean strength (Pa) = 1.7976931348623011e+308
2D asphericity effective mean strength (Pa) = 1371700766.8875
Delta correlation factor = 1.391516859626456
The output are used as input for the BISON input blocks listed below:
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
correlation_factor<<<{"description": "The correlation factor."}>>> = 1.5191967987843993
[]
[][Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 0 0'
correlation_factor<<<{"description": "The correlation factor."}>>> = 1.391516859626456
[]
[][Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[high_fidelity_strength_asphericity]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = '1371700766.8875'
[]
[]Higher-order Correlation Function
BISON can consider a statistical variation of the IPyC, SiC and OPyC layer thickness because they strongly affects particle failure. To obtain each function, we typically sample seven points where , and is the standard deviation. At the midpoint, has a value of 1 because . At other data points, we perform both multi-dimension and one-dimension analysis to determine the value of function. A polynomial curve fit is finally performed on the data points to generate the quadratic function.
IPyC Cracking
The maximum SiC stress in a cracked particle is approximated as:
The Bash scripts used to obtain IPyC cracking correlation function data for varied SiC, IPyC and OPyC thickness (run_all.sh), and to execute Python scripts used to extract the correlation factor and functions (stess_factors.sh) are located in examples/TRISO/correlation_function/. The Python scripts (correlation_function_*.py) are located in the ipyc, sic and opyc folders under examples/TRISO/correlation_function/h_ipyc_cracking/. The Bash scripts are designed to run all cases at once (1D, IPyC cracking and aspherical), and the instructions to execute can be found in Aspherical Particle.
The coefficients of fitted polynomial functions are assigned to polynomial_coefficients_IPyC, polynomial_coefficients_SiC and polynomial_coefficients_OPyC in the BISON input. The obtained correlation factor is assigned to correlation_factor in the BISON input. These parameters can be seen in Listing 5.
commentnote
The crack formation and propagation is calculated by XFEM, and currently requires a mesh with linear (first order) elements.
Listing 5: Input block for the IPyC cracking 2D stress function.
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 5.95176524e3 -2.25337303e8'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 1.43220859e4 -5.17689523e7'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 -1.25870267e4 1.81620484e8'
correlation_factor<<<{"description": "The correlation factor."}>>> = -1.2447543093270736
[]
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47214037.7843719 1451
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47548550.1978239 1443
47628196.0105506 1441
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47787487.636004 1425
47867133.4487306 1421
47946779.2614573 1428
48042354.2367293 1423
48122000.049456 1433
48201645.8621827 1426
48281291.6749093 1438
48313150 1312
Figure 6: h function of SiC cracking for variations in SiC thickness.
Figure 7: h function of IPyC cracking for variations in IPyC thickness.
Figure 8: h function of OPyC cracking for variations in OPyC thickness.
Aspherical Particle
The maximum SiC stress in an aspherical particle is approximated as:
As alluded to in Higher-order Correlation Function, there are quite a few more simulations required for creation of the function. The scripts run simulations for each failure type, dimension and layer at the nominal thickness and for -1, -2, -3, 1, 2, 3, which leads to 63 simulations.
The steps to generate the 2D stress functions are:
Confirm that the
use_higher_order_correlationvariable is set toTruein both the Bash and Python scripts located inexamples/TRISO/correlation_function/h_ipyc_cracking/sic/andexamples/TRISO/correlation_function/h_asphericity/sic/.This variable is committed to the BISON repository set to
True, so it may not need to be changed.
Next, the layer thickness arrays must be set to the user defined specifications in each of the
run.shscripts that are located at theexamples/TRISO/correlation_function/h_ipyc_cracking/*andexamples/TRISO/correlation_function/h_asphericity/*directories.Example: sic_thickness=(3.1600e-05 3.2800e-05 3.4000e-05 3.5200e-05 3.6400e-05 3.7600e-05 3.8800e-05)
The thickness is passed to the input files from
run.sh, and a 1D and 2D mesh are created internally with the TRISO1DMeshGenerator and TRISO2DMeshGenerator, respectively, with the user defined layer thickness.
Execute
run_all.sh.Inside each Python script (
correlation_function_*.py) there is a `delta = ` that needs to be changed to match the user's standard deviation. There are 6 scripts to change.Execute
stress_factors.sh.Enter the output from the
stress_factors.shscript in to the BISON input file.
Output from stress_factors.sh can be seen below:
~/projects/bison/examples/TRISO/correlation_function$ ./stress_factors.sh
IPyC cracking, IPyC
correlation factor = -1.2447543093270736
h function:
2
-2.253e+08 x + 5952 x + 1
Coefficients for input: [ 1.00001925e+00 5.95176524e+03 -2.25337303e+08]
1D effective mean strength (Pa) = 645222154.38423
2D IPyC cracking effective mean strength (Pa) = 1403604095.0794
IPyC cracking, SiC
correlation factor = -1.2447543103484047
h function:
2
-5.177e+07 x + 1.432e+04 x + 1
Coefficients for input: [ 1.00000070e+00 1.43220859e+04 -5.17689523e+07]
1D effective mean strength (Pa) = 645222154.38423
2D IPyC cracking effective mean strength (Pa) = 1403604095.5707
IPyC cracking, OPyC
correlation factor = -1.2447543096023215
h function:
2
1.816e+08 x - 1.259e+04 x + 1
Coefficients for input: [ 9.99978658e-01 -1.25870267e+04 1.81620484e+08]
1D effective mean strength (Pa) = 645222154.38423
2D IPyC cracking effective mean strength (Pa) = 1403604095.2395
Asphericity, IPyC
correlation factor = 1.5191967993808713
h function:
2
1.435e+07 x + 1006 x + 0.9999
Coefficients for input: [9.99942831e-01 1.00595402e+03 1.43530004e+07]
Delta correlation factor = 1.3915168526633837
Delta h function:
2
-2.816e+07 x - 5819 x + 1
Coefficients for input: [ 9.99961795e-01 -5.81891553e+03 -2.81628655e+07]
1D effective mean strength (Pa) = 1.7976931348623011e+308
2D asphericity effective mean strength (Pa) = 1371700806.9481
Asphericity, SiC
correlation factor = 1.5191967987843993
h function:
2
-2.023e+08 x + 3279 x + 1
Coefficients for input: [ 1.00000201e+00 3.27925856e+03 -2.02308753e+08]
Delta correlation factor = 1.391516859626456
Delta h function:
2
-5.553e+08 x + 1.01e+04 x + 1
Coefficients for input: [ 1.00002211e+00 1.00990700e+04 -5.55290343e+08]
1D effective mean strength (Pa) = 1.7976931348623011e+308
2D asphericity effective mean strength (Pa) = 1371700766.8875
Asphericity, OPyC
correlation factor = 1.5191967989005482
h function:
2
-6.126e+06 x + 2074 x + 0.9999
Coefficients for input: [ 9.99929751e-01 2.07404580e+03 -6.12612615e+06]
Delta correlation factor = 1.3915168667980344
Delta h function:
2
-2.66e+07 x - 3592 x + 0.9999
Coefficients for input: [ 9.99949808e-01 -3.59151050e+03 -2.65952373e+07]
1D effective mean strength (Pa) = 1.7976931348623011e+308
2D asphericity effective mean strength (Pa) = 1371700522.644
commentnote
The run.sh operates in serial, running the complete set of input files will take 6-7 hours depending on the machine.
The output from the stress_factors.sh script is used as input for the BISON IPyC cracking block Listing 5 and the aspherical blocks Listing 6:
Listing 6: Input blocks for the asphericity 2D stress function.
[Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[high_fidelity_strength_asphericity]
type = ConstantFunction<<<{"description": "A function that returns a constant value as defined by an input parameter.", "href": "../../../source/functions/ConstantFunction.html"}>>>
value<<<{"description": "The constant value"}>>> = '1371700806.9481'
[]
[][Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 1.00595402e3 1.43530004e7'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 3.27925856e3 -2.02308753e8'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 2.07404580e3 -6.12612615e6'
correlation_factor<<<{"description": "The correlation factor."}>>> = 1.5191967993808713
[]
[][Functions<<<{"href": "../../../syntax/Functions/index.html"}>>>]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction<<<{"description": "Computes the stress correlation function.", "href": "../../../source/functions/TRISOStressCorrelationFunction.html"}>>>
triso_geometry<<<{"description": "Name of the UserObject that computes TRISO geometry."}>>> = particle_geometry
polynomial_coefficients_IPyC<<<{"description": "Fitted polynomial function's coefficents for IPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 -5.81891553e3 -2.81628655e7'
polynomial_coefficients_SiC<<<{"description": "Fitted polynomial function's coefficents for SiC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 1.00990700e4 -5.55290343e8'
polynomial_coefficients_OPyC<<<{"description": "Fitted polynomial function's coefficents for OPyC thickness that correspond to constant, linear and quadratic terms."}>>> = '1 -3.59151050e3 -2.65952373e7'
correlation_factor<<<{"description": "The correlation factor."}>>> = 1.3915168526633837
[]
[]
Figure 9: h function of asphericity for variations in SiC thickness.
Figure 10: h function of asphericity for variations in IPyC thickness.
Figure 11: h function of asphericity for variations in OPyC thickness.
Advanced Functionality for the Aspherical Stress Calculation
The calculation for the aspherical stress function that is completed in the correlation_function_*.py script is more complicated than the IPyC cracking calculation. Due to this, debugging parameters were added to confirm that the user is receiving what they believe they are. In each of the correlation_function_*.py scripts located in examples/TRISO/correlation_function/h_asphericity/ there are the options shown below:
DEBUG1 = False
DEBUG2 = False
PLOT = False
DEBUG1 displays the intermediate calculation results from the nominal thickness case, while DEBUG2 displays the calculations from the thickness varied cases. The PLOT option will output plots of the SiC stress and display the minimum and maximum values that were used in the stress function calculations. It is advised to output these when making a new function as the time dependent stress can be noisy and the Python script may not handle the noise well. The options are set to False by default, set to True in scripts listed above to use.
Figure 4: Min-Max plot of SiC stress from the PLOT = True option.
Items to double check
Correct Element
In the h_asphericity directory run.sh scripts, there is an elementid=() array that feeds the element ID to the 2D simulations. These are set correctly for the committed input files, but if a user changes the dimensions or the element density of the mesh odds are good that the elementid will need to be changed as well. The element needed can be seen in Figure 5.
Figure 5: 2D aspherical element queried for stress calculations (shown in pink).
The easiest way to produce all the meshes at once is to hold each simulation to one timestep and then use the run_all.sh. Steps to do this are below:
Add the option
num_steps = 1to the[Executioner]section oftriso_1d.i,triso_asphericity.iandtriso_cracking.i.Execute
run_all.shDelete the
num_steps = 1from the inputs.Then examine the aspherical meshes with something like Paraview to confirm that the correct
elementidis being used.
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