Burnup Action System

Creates the set of auxvariable, auxkernels, and BurnupFunction required to collect the radial average burnup and heavy metal isotope concentrations as calculated by the BurnupFunction.

Description

The Burnup action system computes fission rate and burnup for LWR fuel including the radial power factor. Use the Burnup action to create a secondary burnup-specific integration grid on the fuel and the associated required auxvariables and auxkernels, including burnup and fission_rate.

warning:Intended for LWR Fuel Only

This action is only intended for use with LWR fuel and is not appropriate for use when modeling and analyzing other fuel configurations.

The radial power factor calculation is performed on a secondary numerical grid, created internally by BISON. Once the fission rate, burnup, and other quantities are computed on this secondary grid, they are mapped back to the finite element mesh.

Constructed Objects

Table 1: Correspondence Among Action Functionality and Moose/BISON Objects for the Burnup Action

Functionality	Replaced Classes	Associated Parameters
Calculate radial distributions of power density, burnup, and heavy metal concentrations	BurnupFunction	`fuel_inner_radius` and `fuel_outer_radius`: values of the fuel radial dimensions
		`a_lower` and `a_upper`: values of the fuel axial dimensions
		`num_radial`: integer of the number of burnup-specific grid divisions in the radial direction
		`num_axial` : integer of the number of burnup-specific grid divisions in the axial direction
		`rod_ave_lin_pow`: a string containing the name of the average rod linear power function
Retrieve and store the radial profiles of burnup and fission rate	BurnupGrid and AuxVariables	`burnup`: string containing the name of the burnup auxvariable (created by default)
		`fission_rate`: string cof the name of the fission rate auxvariable (created by default)
		`average_burnup`: string containing the name of the average burnup auxvariable
Retrieve and store the radial profiles of heavy metal concentration (optional)	BurnupGrid and AuxVariables	`N235`, `N236`, `N238`, `N240`, `N241`, `N242`: string containing the name of the heavy metal ion of interest

Example Input Syntax

An example of the Burnup action block is given below, where the burnup and fission_rate auxvariables are created by default

[Burnup<<<{"href": "index.html"}>>>]
  [burnup1]
    block<<<{"description": "The blocks where radial power factor should be computed."}>>> = 1
    base_name<<<{"description": "Base name for the AuxVariables."}>>> = action_block1
    rod_ave_lin_pow<<<{"description": "Rod average linear power function."}>>> = power_profile
    axial_power_profile<<<{"description": "Axial power peaking function."}>>> = axial_peaking_factors
    num_radial<<<{"description": "Number of radial divisions in secondary grid used to compute radial power profile."}>>> = 80
    num_axial<<<{"description": "Number of axial divisions in secondary grid used to compute radial power profile."}>>> = 20
    a_upper<<<{"description": "The upper axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified."}>>> = 0.01
    a_lower<<<{"description": "The lower axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified."}>>> = 0.0
    fuel_inner_radius<<<{"description": "The inner radius of the fuel."}>>> = 0.0
    fuel_outer_radius<<<{"description": "The outer radius of the fuel."}>>> = 0.01
    fuel_volume_ratio<<<{"description": "Reduction factor for deviation from right circular cylinder fuel.  The ratio of actual volume to right circular cylinder volume."}>>> = 1.0
  []
[]

Replaced by the Action

The Burnup action replaces five different sets of blocks in the input file, as described in Table 1 and shown below.

Note that the burnup1 action block in the previous example and the burnup1 block for the BurnupFunction are very similar: the only differences are the type, base_name, and block parameters.

[Functions<<<{"href": "../Functions/index.html"}>>>]
  [burnup1]
    type = BurnupFunction<<<{"description": "Computes burnup and radial power factor.  Built by an Action.", "href": "../../source/functions/BurnupFunction.html"}>>>
    rod_ave_lin_pow<<<{"description": "Rod average linear power function."}>>> = power_profile
    axial_power_profile<<<{"description": "Axial power peaking function."}>>> = axial_peaking_factors
    num_radial<<<{"description": "Number of radial divisions in secondary grid used to compute radial power profile."}>>> = 80
    num_axial<<<{"description": "Number of axial divisions in secondary grid used to compute radial power profile."}>>> = 20
    a_upper<<<{"description": "The upper axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified."}>>> = 0.01
    a_lower<<<{"description": "The lower axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified."}>>> = 0.0
    fuel_inner_radius<<<{"description": "The inner radius of the fuel."}>>> = 0.0
    fuel_outer_radius<<<{"description": "The outer radius of the fuel."}>>> = 0.01
    fuel_volume_ratio<<<{"description": "Reduction factor for deviation from right circular cylinder fuel.  The ratio of actual volume to right circular cylinder volume."}>>> = 1.0
  []
[]

Since the Burnup action system automatically creates two auxvariables, the example input file without actions includes two pairs of BurnupGrid and AuxVariables blocks.

The first pair of blocks, used to create the fission_rate auxvariable, is:

[AuxKernels<<<{"href": "../AuxKernels/index.html"}>>>]
  [BurnupGrid1]
    type = BurnupGrid<<<{"description": "Retrieves burnup, fission_rate, concentrations, etc. from the grid used in BurnupFunction.  Built by an Action.", "href": "../../source/auxkernels/BurnupGrid.html"}>>>
    block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 1
    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'
    burnup_function<<<{"description": "The BurnupFunction name."}>>> = burnup1
    variable<<<{"description": "The name of the variable that this object applies to"}>>> = fission_rate_1
    fission_rate<<<{"description": "The fission_rate aux variable."}>>> = fission_rate_1
  []
[]

[AuxVariables<<<{"href": "../AuxVariables/index.html"}>>>]
  [fission_rate_1]
    block = 1
  []
[]

And the blocks required to create the burnup auxvariable are:

[AuxKernels<<<{"href": "../AuxKernels/index.html"}>>>]
  [BurnupGrid3]
    type = BurnupGrid<<<{"description": "Retrieves burnup, fission_rate, concentrations, etc. from the grid used in BurnupFunction.  Built by an Action.", "href": "../../source/auxkernels/BurnupGrid.html"}>>>
    block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 1
    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'
    burnup_function<<<{"description": "The BurnupFunction name."}>>> = burnup1
    variable<<<{"description": "The name of the variable that this object applies to"}>>> = burnup_1
    burnup<<<{"description": "The burnup aux variable."}>>> = burnup_1
  []
[]

[AuxVariables<<<{"href": "../AuxVariables/index.html"}>>>]
  [burnup_1]
    block = 1
  []
[]

Input Parameters

blockThe blocks where radial power factor should be computed.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The blocks where radial power factor should be computed.
densityThe initial fuel density.
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:The initial fuel density.

Required Parameters

N155Specifies that the concentration of 155 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 155 is required.
N157Specifies that the concentration of 157 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 157 is required.
N235Specifies that the concentration of 235 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 235 is required.
N236Specifies that the concentration of 236 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 236 is required.
N238Specifies that the concentration of 238 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 238 is required.
N239Specifies that the concentration of 239 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 239 is required.
N240Specifies that the concentration of 240 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 240 is required.
N241Specifies that the concentration of 241 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 241 is required.
N242Specifies that the concentration of 242 is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the concentration of 242 is required.
RPFSpecifies that the radial power factor is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the radial power factor is required.
a_lowerThe lower axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified.
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:The lower axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified.
a_upperThe upper axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified.
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:The upper axial coordinate of the fuel stack. Required if fuel_pin_geometry is not specified.
active__all__ If specified only the blocks named will be visited and made active
Default:__all__
C++ Type:std::vector<std::string>
Controllable:No
Description:If specified only the blocks named will be visited and made active
average_burnupSpecifies that the radial average burnup is required.
C++ Type:std::string
Controllable:No
Description:Specifies that the radial average burnup is required.
axial_directionyCoordinate axis of the axial direction of the fuel stack (x, y, or z)
Default:y
C++ Type:MooseEnum
Options:x, y, z
Controllable:No
Description:Coordinate axis of the axial direction of the fuel stack (x, y, or z)
axial_power_profile Axial power peaking function.
Default:
C++ Type:std::vector<FunctionName>
Unit:(no unit assumed)
Controllable:No
Description:Axial power peaking function.
base_nameBase name for the AuxVariables.
C++ Type:std::string
Controllable:No
Description:Base name for the AuxVariables.
bias1Bias for radial point spacing. Must be between 0.5 and 2.0
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Bias for radial point spacing. Must be between 0.5 and 2.0
energy_per_fission3.28451e-11The energy released per fission in J/fission.
Default:3.28451e-11
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The energy released per fission in J/fission.
familyMONOMIALSpecifies the family of FE shape functions to use for this variable.
Default:MONOMIAL
C++ Type:MooseEnum
Options:LAGRANGE, MONOMIAL, SCALAR, LAGRANGE_VEC, MONOMIAL_VEC, L2_HIERARCHIC, L2_HIERARCHIC_VEC, L2_LAGRANGE, L2_LAGRANGE_VEC, L2_RAVIART_THOMAS
Controllable:No
Description:Specifies the family of FE shape functions to use for this variable.
fuel_inner_radius0The inner radius of the fuel.
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The inner radius of the fuel.
fuel_outer_radius0.0041The outer radius of the fuel.
Default:0.0041
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The outer radius of the fuel.
fuel_pin_geometryName of the UserObject that reads the pin geometry from the mesh.
C++ Type:UserObjectName
Controllable:No
Description:Name of the UserObject that reads the pin geometry from the mesh.
fuel_typeUO2Fuel type. Choices are UO2 U3Si2
Default:UO2
C++ Type:MooseEnum
Options:UO2, U3Si2
Controllable:No
Description:Fuel type. Choices are UO2 U3Si2
fuel_volume_ratioReduction factor for deviation from right circular cylinder fuel. The ratio of actual volume to right circular cylinder volume.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Reduction factor for deviation from right circular cylinder fuel. The ratio of actual volume to right circular cylinder volume.
inactiveIf specified blocks matching these identifiers will be skipped.
C++ Type:std::vector<std::string>
Controllable:No
Description:If specified blocks matching these identifiers will be skipped.
initial_burnup0Initial burnup to be applied in units of MWd/kgU
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Initial burnup to be applied in units of MWd/kgU
isotope_fractions0.05 0.95 The isotope fractions associated with the 'isotopes' input line. Must sum to 1.0.
Default:0.05 0.95
C++ Type:std::vector<std::vector<double>>
Unit:(no unit assumed)
Controllable:No
Description:The isotope fractions associated with the 'isotopes' input line. Must sum to 1.0.
isotopesU235 U238 Fuel isotopes: Gd155 Gd157 U235 U238 Pu239 Pu240 Pu241 Pu242. Number of entries must match number of entries in isotope_fractions.
Default:U235 U238
C++ Type:std::vector<MultiMooseEnum>
Options:Gd155, Gd157, U235, U238, Pu239, Pu240, Pu241, Pu242
Controllable:No
Description:Fuel isotopes: Gd155 Gd157 U235 U238 Pu239 Pu240 Pu241 Pu242. Number of entries must match number of entries in isotope_fractions.
num_axial20Number of axial divisions in secondary grid used to compute radial power profile.
Default:20
C++ Type:unsigned int
Controllable:No
Description:Number of axial divisions in secondary grid used to compute radial power profile.
num_radial80Number of radial divisions in secondary grid used to compute radial power profile.
Default:80
C++ Type:unsigned int
Controllable:No
Description:Number of radial divisions in secondary grid used to compute radial power profile.
number_of_columnsNumber of columns (for an array of BurnupFunctions).
C++ Type:unsigned int
Controllable:No
Description:Number of columns (for an array of BurnupFunctions).
number_of_rowsNumber of rows (for an array of BurnupFunctions).
C++ Type:unsigned int
Controllable:No
Description:Number of rows (for an array of BurnupFunctions).
offset0 0 0Translation, if any, of the rod centerline. For example, '0.1,0.2,0' for a rod with a centerline along the z axis that is 0.1 m in the x direction and 0.2 m in the y direction from the origin.
Default:0 0 0
C++ Type:libMesh::Point
Controllable:No
Description:Translation, if any, of the rod centerline. For example, '0.1,0.2,0' for a rod with a centerline along the z axis that is 0.1 m in the x direction and 0.2 m in the y direction from the origin.
orderCONSTANTSpecifies the order of the FE shape function to use for this variable.
Default:CONSTANT
C++ Type:MooseEnum
Options:CONSTANT, FIRST, SECOND, THIRD, FOURTH, FIFTH, SIXTH, SEVENTH, EIGHTH, NINTH
Controllable:No
Description:Specifies the order of the FE shape function to use for this variable.
pitchPitch between rods (for an array of BurnupFunctions).
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Pitch between rods (for an array of BurnupFunctions).
rod_ave_lin_pow Rod average linear power function.
Default:
C++ Type:std::vector<FunctionName>
Unit:(no unit assumed)
Controllable:No
Description:Rod average linear power function.
rpf_activeTrueFlag for turning calculation of radial power factor on.
Default:True
C++ Type:bool
Controllable:No
Description:Flag for turning calculation of radial power factor on.
rpf_inputThe radial power profile function. Used to specify the rpf from input
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:The radial power profile function. Used to specify the rpf from input
value1Default/scaling value.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Default/scaling value.

Optional Parameters

built_by_action
C++ Type:std::string
Controllable:No
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:No
Description:Set the enabled status of the MooseObject.
fuel_molar_massThe molar mass of the entire fuel
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The molar mass of the entire fuel
heavy_metal_molar_massThe molar mass of the heavy metal
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The molar mass of the heavy metal

Advanced Parameters

Associated Actions

Available Actions

Bison App
BurnupActionCreates the set of auxvariable, auxkernels, and BurnupFunction required to collect the radial average burnup and heavy metal isotope concentrations as calculated by the BurnupFunction.

(test/tests/burnup_action/burnup_with_actions.i)

# This test is designed as a companion test to the burnup_without_actions.i input
# to demonstrate which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.

initial_fuel_density = 10431.0

[GlobalParams]
  density = ${initial_fuel_density}
  energy_per_fission = 3.20435313e-11            # J/fission (200 MeV)
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = two_separate_blocks.e
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

# [AuxVariables]
#   [fission_rate_1]
#     block = 1
#   []
#   [fission_rate_2]
#     block = 2
#   []
#   [burnup_1]
#     block = 1
#   []
#   [burnup_2]
#     block = 2
#   []
# []

[Functions]
  [power_profile]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 40000'
  []
  [axial_peaking_factors]
    type = PiecewiseBilinear
     x = '0.0 0.01 0.0105 0.0205'
     y = '0 100'
     z = '1 1 2 2 1 1 2 2'
     axis = 1
  []
  # [burnup1]
  #   type = BurnupFunction
  #   rod_ave_lin_pow = power_profile
  #   axial_power_profile = axial_peaking_factors
  #   num_radial = 80
  #   num_axial = 20
  #   a_upper = 0.01
  #   a_lower = 0.0
  #   fuel_inner_radius = 0.0
  #   fuel_outer_radius = 0.01
  # []
  # [burnup2]
  #   type = BurnupFunction
  #   rod_ave_lin_pow = power_profile
  #   axial_power_profile = axial_peaking_factors
  #   num_radial = 80
  #   num_axial = 20
  #   a_upper = 0.0205
  #   a_lower = 0.0105
  #   fuel_inner_radius = 0.0
  #   fuel_outer_radius = 0.01
  # []
[]

[Burnup]
  [burnup1]
    block = 1
    base_name = action_block1
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.01
    a_lower = 0.0
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
  [burnup2]
    block = 2
    base_name = action_block2
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.0205
    a_lower = 0.0105
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
  [heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  []
  [heat_source_block1]
     type = NeutronHeatSource
     variable = temp
     block = 1
     burnup_function = burnup1
  []
  [heat_source_block2]
     type = NeutronHeatSource
     variable = temp
     block = 2
     burnup_function = burnup2
  []
[]

# [AuxKernels]
#   [BurunupGrid1]
#     type = BurnupGrid
#     block = 1
#     execute_on = 'initial linear'
#     burnup_function = burnup1
#     variable = fission_rate_1
#     fission_rate = fission_rate_1
#   []
#   [BurunupGrid2]
#     type = BurnupGrid
#     block = 2
#     execute_on = 'initial linear'
#     burnup_function = burnup2
#     variable = fission_rate_2
#     fission_rate = fission_rate_2
#   []
#   [BurunupGrid13]
#     type = BurnupGrid
#     block = 1
#     execute_on = 'initial linear'
#     burnup_function = burnup1
#     variable = burnup_1
#     burnup = burnup_1
#   []
#   [BurunupGrid4]
#     type = BurnupGrid
#     block = 2
#     execute_on = 'initial linear'
#     burnup_function = burnup2
#     variable = burnup_2
#     burnup = burnup_2
#   []
# []

[BCs]
  [block1_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 300
  []
  [block2_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 2
    value = 300
  []
[]

[Materials]
  [fuel_thermal1]
    type = UO2Thermal
    block = 1
    temperature = temp
    burnup_function = burnup1
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_thermal2]
    type = UO2Thermal
    block = 2
    temperature = temp
    burnup_function = burnup2
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_density]
    type = ParsedMaterial
    block = '1 2'
    property_name = density
    expression = ${initial_fuel_density}
  []
[]

[Executioner]
  type = Transient

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  line_search = 'none'

  # controls for linear iterations
  l_max_its = 100
  l_tol = 8e-3

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  # time control
  start_time = 0
  dtmax = 1e4
  dtmin = 100
  end_time = 5e5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 100
    optimal_iterations = 6
    linear_iteration_ratio = 100
  []
[]

[Postprocessors]
  [ave_temp_block1]
     type = ElementAverageValue
     block = 1
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [ave_temp_block2]
     type = ElementAverageValue
     block = 2
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [rod_power_1]
    type = ElementIntegralPower
    variable = temp
    block = 1
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_power_2]
    type = ElementIntegralPower
    variable = temp
    block = 2
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
  [rod_burnup_1]
    type = RodAverageBurnup
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_burnup_2]
    type = RodAverageBurnup
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
[]

[Outputs]
  csv = true
  exodus = false
  color = false
  perf_graph = true
  [console]
    type = Console
    max_rows = 1
  []
[]

(test/tests/burnup_action/burnup_without_actions.i)

# This test is designed as a companion test to the burnup_with_action.i input
# to clarify which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.

initial_fuel_density = 10431.0

[GlobalParams]
  density = ${initial_fuel_density}
  energy_per_fission = 3.20435313e-11            # J/fission (200 MeV)
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = two_separate_blocks.e
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[AuxVariables]
  [fission_rate_1]
    block = 1
  []
  [fission_rate_2]
    block = 2
  []
  [burnup_1]
    block = 1
  []
  [burnup_2]
    block = 2
  []
[]

[Functions]
  [power_profile]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 40000'
  []
  [axial_peaking_factors]
    type = PiecewiseBilinear
     x = '0.0 0.01 0.0105 0.0205'
     y = '0 100'
     z = '1 1 2 2 1 1 2 2'
     axis = 1
  []
  [burnup1]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.01
    a_lower = 0.0
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
  [burnup2]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.0205
    a_lower = 0.0105
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
  [heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  []
  [heat_source_block1]
     type = NeutronHeatSource
     variable = temp
     block = 1
     burnup_function = burnup1
  []
  [heat_source_block2]
     type = NeutronHeatSource
     variable = temp
     block = 2
     burnup_function = burnup2
  []
[]

[AuxKernels]
  [BurnupGrid1]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = fission_rate_1
    fission_rate = fission_rate_1
  []
  [BurnupGrid2]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = fission_rate_2
    fission_rate = fission_rate_2
  []
  [BurnupGrid3]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = burnup_1
    burnup = burnup_1
  []
  [BurnupGrid4]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = burnup_2
    burnup = burnup_2
  []
[]

[BCs]
  [block1_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 300
  []
  [block2_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 2
    value = 300
  []
[]

[Materials]
  [fuel_thermal1]
    type = UO2Thermal
    block = 1
    temperature = temp
    burnup_function = burnup1
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_thermal2]
    type = UO2Thermal
    block = 2
    temperature = temp
    burnup_function = burnup2
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_density]
    type = ParsedMaterial
    block = '1 2'
    property_name = density
    expression = ${initial_fuel_density}
  []
[]

[Executioner]
  type = Transient

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  line_search = 'none'

  # controls for linear iterations
  l_max_its = 100
  l_tol = 8e-3

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  # time control
  start_time = 0
  dtmax = 1e4
  dtmin = 100
  end_time = 5e5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 100
    optimal_iterations = 6
    linear_iteration_ratio = 100
  []
[]

[Postprocessors]
  [ave_temp_block1]
     type = ElementAverageValue
     block = 1
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [ave_temp_block2]
     type = ElementAverageValue
     block = 2
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [rod_power_1]
    type = ElementIntegralPower
    variable = temp
    block = 1
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_power_2]
    type = ElementIntegralPower
    variable = temp
    block = 2
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
  [rod_burnup_1]
    type = RodAverageBurnup
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_burnup_2]
    type = RodAverageBurnup
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
[]

[Outputs]
  csv = true
  exodus = false
  color = false
  print_linear_residuals = true
  perf_graph = true
  [console]
    type = Console
    max_rows = 1
  []
[]

(test/tests/burnup_action/burnup_without_actions.i)

# This test is designed as a companion test to the burnup_with_action.i input
# to clarify which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.

initial_fuel_density = 10431.0

[GlobalParams]
  density = ${initial_fuel_density}
  energy_per_fission = 3.20435313e-11            # J/fission (200 MeV)
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = two_separate_blocks.e
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[AuxVariables]
  [fission_rate_1]
    block = 1
  []
  [fission_rate_2]
    block = 2
  []
  [burnup_1]
    block = 1
  []
  [burnup_2]
    block = 2
  []
[]

[Functions]
  [power_profile]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 40000'
  []
  [axial_peaking_factors]
    type = PiecewiseBilinear
     x = '0.0 0.01 0.0105 0.0205'
     y = '0 100'
     z = '1 1 2 2 1 1 2 2'
     axis = 1
  []
  [burnup1]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.01
    a_lower = 0.0
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
  [burnup2]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.0205
    a_lower = 0.0105
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
  [heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  []
  [heat_source_block1]
     type = NeutronHeatSource
     variable = temp
     block = 1
     burnup_function = burnup1
  []
  [heat_source_block2]
     type = NeutronHeatSource
     variable = temp
     block = 2
     burnup_function = burnup2
  []
[]

[AuxKernels]
  [BurnupGrid1]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = fission_rate_1
    fission_rate = fission_rate_1
  []
  [BurnupGrid2]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = fission_rate_2
    fission_rate = fission_rate_2
  []
  [BurnupGrid3]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = burnup_1
    burnup = burnup_1
  []
  [BurnupGrid4]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = burnup_2
    burnup = burnup_2
  []
[]

[BCs]
  [block1_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 300
  []
  [block2_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 2
    value = 300
  []
[]

[Materials]
  [fuel_thermal1]
    type = UO2Thermal
    block = 1
    temperature = temp
    burnup_function = burnup1
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_thermal2]
    type = UO2Thermal
    block = 2
    temperature = temp
    burnup_function = burnup2
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_density]
    type = ParsedMaterial
    block = '1 2'
    property_name = density
    expression = ${initial_fuel_density}
  []
[]

[Executioner]
  type = Transient

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  line_search = 'none'

  # controls for linear iterations
  l_max_its = 100
  l_tol = 8e-3

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  # time control
  start_time = 0
  dtmax = 1e4
  dtmin = 100
  end_time = 5e5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 100
    optimal_iterations = 6
    linear_iteration_ratio = 100
  []
[]

[Postprocessors]
  [ave_temp_block1]
     type = ElementAverageValue
     block = 1
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [ave_temp_block2]
     type = ElementAverageValue
     block = 2
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [rod_power_1]
    type = ElementIntegralPower
    variable = temp
    block = 1
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_power_2]
    type = ElementIntegralPower
    variable = temp
    block = 2
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
  [rod_burnup_1]
    type = RodAverageBurnup
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_burnup_2]
    type = RodAverageBurnup
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
[]

[Outputs]
  csv = true
  exodus = false
  color = false
  print_linear_residuals = true
  perf_graph = true
  [console]
    type = Console
    max_rows = 1
  []
[]

(test/tests/burnup_action/burnup_without_actions.i)

# This test is designed as a companion test to the burnup_with_action.i input
# to clarify which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.

initial_fuel_density = 10431.0

[GlobalParams]
  density = ${initial_fuel_density}
  energy_per_fission = 3.20435313e-11            # J/fission (200 MeV)
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = two_separate_blocks.e
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[AuxVariables]
  [fission_rate_1]
    block = 1
  []
  [fission_rate_2]
    block = 2
  []
  [burnup_1]
    block = 1
  []
  [burnup_2]
    block = 2
  []
[]

[Functions]
  [power_profile]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 40000'
  []
  [axial_peaking_factors]
    type = PiecewiseBilinear
     x = '0.0 0.01 0.0105 0.0205'
     y = '0 100'
     z = '1 1 2 2 1 1 2 2'
     axis = 1
  []
  [burnup1]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.01
    a_lower = 0.0
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
  [burnup2]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.0205
    a_lower = 0.0105
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
  [heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  []
  [heat_source_block1]
     type = NeutronHeatSource
     variable = temp
     block = 1
     burnup_function = burnup1
  []
  [heat_source_block2]
     type = NeutronHeatSource
     variable = temp
     block = 2
     burnup_function = burnup2
  []
[]

[AuxKernels]
  [BurnupGrid1]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = fission_rate_1
    fission_rate = fission_rate_1
  []
  [BurnupGrid2]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = fission_rate_2
    fission_rate = fission_rate_2
  []
  [BurnupGrid3]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = burnup_1
    burnup = burnup_1
  []
  [BurnupGrid4]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = burnup_2
    burnup = burnup_2
  []
[]

[BCs]
  [block1_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 300
  []
  [block2_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 2
    value = 300
  []
[]

[Materials]
  [fuel_thermal1]
    type = UO2Thermal
    block = 1
    temperature = temp
    burnup_function = burnup1
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_thermal2]
    type = UO2Thermal
    block = 2
    temperature = temp
    burnup_function = burnup2
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_density]
    type = ParsedMaterial
    block = '1 2'
    property_name = density
    expression = ${initial_fuel_density}
  []
[]

[Executioner]
  type = Transient

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  line_search = 'none'

  # controls for linear iterations
  l_max_its = 100
  l_tol = 8e-3

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  # time control
  start_time = 0
  dtmax = 1e4
  dtmin = 100
  end_time = 5e5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 100
    optimal_iterations = 6
    linear_iteration_ratio = 100
  []
[]

[Postprocessors]
  [ave_temp_block1]
     type = ElementAverageValue
     block = 1
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [ave_temp_block2]
     type = ElementAverageValue
     block = 2
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [rod_power_1]
    type = ElementIntegralPower
    variable = temp
    block = 1
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_power_2]
    type = ElementIntegralPower
    variable = temp
    block = 2
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
  [rod_burnup_1]
    type = RodAverageBurnup
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_burnup_2]
    type = RodAverageBurnup
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
[]

[Outputs]
  csv = true
  exodus = false
  color = false
  print_linear_residuals = true
  perf_graph = true
  [console]
    type = Console
    max_rows = 1
  []
[]

(test/tests/burnup_action/burnup_without_actions.i)

# This test is designed as a companion test to the burnup_with_action.i input
# to clarify which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.

initial_fuel_density = 10431.0

[GlobalParams]
  density = ${initial_fuel_density}
  energy_per_fission = 3.20435313e-11            # J/fission (200 MeV)
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = two_separate_blocks.e
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[AuxVariables]
  [fission_rate_1]
    block = 1
  []
  [fission_rate_2]
    block = 2
  []
  [burnup_1]
    block = 1
  []
  [burnup_2]
    block = 2
  []
[]

[Functions]
  [power_profile]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 40000'
  []
  [axial_peaking_factors]
    type = PiecewiseBilinear
     x = '0.0 0.01 0.0105 0.0205'
     y = '0 100'
     z = '1 1 2 2 1 1 2 2'
     axis = 1
  []
  [burnup1]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.01
    a_lower = 0.0
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
  [burnup2]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.0205
    a_lower = 0.0105
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
  [heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  []
  [heat_source_block1]
     type = NeutronHeatSource
     variable = temp
     block = 1
     burnup_function = burnup1
  []
  [heat_source_block2]
     type = NeutronHeatSource
     variable = temp
     block = 2
     burnup_function = burnup2
  []
[]

[AuxKernels]
  [BurnupGrid1]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = fission_rate_1
    fission_rate = fission_rate_1
  []
  [BurnupGrid2]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = fission_rate_2
    fission_rate = fission_rate_2
  []
  [BurnupGrid3]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = burnup_1
    burnup = burnup_1
  []
  [BurnupGrid4]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = burnup_2
    burnup = burnup_2
  []
[]

[BCs]
  [block1_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 300
  []
  [block2_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 2
    value = 300
  []
[]

[Materials]
  [fuel_thermal1]
    type = UO2Thermal
    block = 1
    temperature = temp
    burnup_function = burnup1
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_thermal2]
    type = UO2Thermal
    block = 2
    temperature = temp
    burnup_function = burnup2
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_density]
    type = ParsedMaterial
    block = '1 2'
    property_name = density
    expression = ${initial_fuel_density}
  []
[]

[Executioner]
  type = Transient

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  line_search = 'none'

  # controls for linear iterations
  l_max_its = 100
  l_tol = 8e-3

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  # time control
  start_time = 0
  dtmax = 1e4
  dtmin = 100
  end_time = 5e5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 100
    optimal_iterations = 6
    linear_iteration_ratio = 100
  []
[]

[Postprocessors]
  [ave_temp_block1]
     type = ElementAverageValue
     block = 1
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [ave_temp_block2]
     type = ElementAverageValue
     block = 2
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [rod_power_1]
    type = ElementIntegralPower
    variable = temp
    block = 1
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_power_2]
    type = ElementIntegralPower
    variable = temp
    block = 2
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
  [rod_burnup_1]
    type = RodAverageBurnup
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_burnup_2]
    type = RodAverageBurnup
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
[]

[Outputs]
  csv = true
  exodus = false
  color = false
  print_linear_residuals = true
  perf_graph = true
  [console]
    type = Console
    max_rows = 1
  []
[]

(test/tests/burnup_action/burnup_without_actions.i)

# This test is designed as a companion test to the burnup_with_action.i input
# to clarify which input file blocks are created by the Burnup action.
#
# In this simple two block problem, the power profile is designed such that the
# power provided to the top block, block 2, is nearly twice that of the power on
# the bottom block, block 1. As a result, the fission rate on block 2 is exactly
# twice the fission rate on block 1, and the burnup on block 2 is twice the value
# of the burnup on block 1.

initial_fuel_density = 10431.0

[GlobalParams]
  density = ${initial_fuel_density}
  energy_per_fission = 3.20435313e-11            # J/fission (200 MeV)
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = two_separate_blocks.e
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[AuxVariables]
  [fission_rate_1]
    block = 1
  []
  [fission_rate_2]
    block = 2
  []
  [burnup_1]
    block = 1
  []
  [burnup_2]
    block = 2
  []
[]

[Functions]
  [power_profile]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 40000'
  []
  [axial_peaking_factors]
    type = PiecewiseBilinear
     x = '0.0 0.01 0.0105 0.0205'
     y = '0 100'
     z = '1 1 2 2 1 1 2 2'
     axis = 1
  []
  [burnup1]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.01
    a_lower = 0.0
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
  [burnup2]
    type = BurnupFunction
    rod_ave_lin_pow = power_profile
    axial_power_profile = axial_peaking_factors
    num_radial = 80
    num_axial = 20
    a_upper = 0.0205
    a_lower = 0.0105
    fuel_inner_radius = 0.0
    fuel_outer_radius = 0.01
    fuel_volume_ratio = 1.0
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
  [heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  []
  [heat_source_block1]
     type = NeutronHeatSource
     variable = temp
     block = 1
     burnup_function = burnup1
  []
  [heat_source_block2]
     type = NeutronHeatSource
     variable = temp
     block = 2
     burnup_function = burnup2
  []
[]

[AuxKernels]
  [BurnupGrid1]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = fission_rate_1
    fission_rate = fission_rate_1
  []
  [BurnupGrid2]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = fission_rate_2
    fission_rate = fission_rate_2
  []
  [BurnupGrid3]
    type = BurnupGrid
    block = 1
    execute_on = 'initial linear'
    burnup_function = burnup1
    variable = burnup_1
    burnup = burnup_1
  []
  [BurnupGrid4]
    type = BurnupGrid
    block = 2
    execute_on = 'initial linear'
    burnup_function = burnup2
    variable = burnup_2
    burnup = burnup_2
  []
[]

[BCs]
  [block1_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 300
  []
  [block2_side_bc]
    type = DirichletBC
    variable = temp
    boundary = 2
    value = 300
  []
[]

[Materials]
  [fuel_thermal1]
    type = UO2Thermal
    block = 1
    temperature = temp
    burnup_function = burnup1
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_thermal2]
    type = UO2Thermal
    block = 2
    temperature = temp
    burnup_function = burnup2
    thermal_conductivity_model = NFIR           # NFIR thermal conductivity
    initial_porosity = 0.05
  []
  [fuel_density]
    type = ParsedMaterial
    block = '1 2'
    property_name = density
    expression = ${initial_fuel_density}
  []
[]

[Executioner]
  type = Transient

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'
  line_search = 'none'

  # controls for linear iterations
  l_max_its = 100
  l_tol = 8e-3

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  # time control
  start_time = 0
  dtmax = 1e4
  dtmin = 100
  end_time = 5e5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 100
    optimal_iterations = 6
    linear_iteration_ratio = 100
  []
[]

[Postprocessors]
  [ave_temp_block1]
     type = ElementAverageValue
     block = 1
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [ave_temp_block2]
     type = ElementAverageValue
     block = 2
     variable = temp
     execute_on = 'initial timestep_end'
  []
  [rod_power_1]
    type = ElementIntegralPower
    variable = temp
    block = 1
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_power_2]
    type = ElementIntegralPower
    variable = temp
    block = 2
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
  [rod_burnup_1]
    type = RodAverageBurnup
    burnup_function = burnup1
    execute_on = 'timestep_end'
  []
  [rod_burnup_2]
    type = RodAverageBurnup
    burnup_function = burnup2
    execute_on = 'timestep_end'
  []
[]

[Outputs]
  csv = true
  exodus = false
  color = false
  print_linear_residuals = true
  perf_graph = true
  [console]
    type = Console
    max_rows = 1
  []
[]

Description
Constructed Objects
Example Input Syntax
Input Parameters
Associated Actions
Available Actions