FunctionLayeredIntegral

Integrates a function in layers

How to define the layers

The parameters to define layers are explained in the LayeredAverage documentation.

How to retrieve the result

The result of a FunctionLayeredIntegral computation can be saved in an auxiliary variable using a SpatialUserObjectAux. It can be output to a CSV file using a SpatialUserObjectVectorPostprocessor.

Example Input File Syntax

In this example, the integral of a function sin(y) is taken over the whole domain in the y direction over 20 layers. The result of the integral is stored in the variable layered_integral using a SpatialUserObjectAux, and output to a CSV file using a SpatialUserObjectVectorPostprocessor.

[AuxKernels]
  [liaux]
    type = SpatialUserObjectAux
    variable = layered_integral
    execute_on = timestep_end
    user_object = layered_integral
  []
[]

[UserObjects]
  # the results of the layered integral are directly compared against the analytic integral
  # of sin(y) from a to b, or cos(a) - cos(b)
  [layered_integral]
    type = FunctionLayeredIntegral
    direction = y
    num_layers = 20
    function = 'sin(y)'
  []
[]

[VectorPostprocessors]
  [li]
    type = SpatialUserObjectVectorPostprocessor
    userobject = layered_integral
  []
[]

Input Parameters

functionThe function that this object operates on
C++ Type:FunctionName
Controllable:No
Description:The function that this object operates on

Required Parameters

blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of block ids (SubdomainID) that this object will be applied
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
layer_bounding_blockList of block ids (SubdomainID) that are used to determine the upper and lower geometric bounds for all layers. If this is not specified, the ids specified in 'block' are used for this purpose.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:List of block ids (SubdomainID) that are used to determine the upper and lower geometric bounds for all layers. If this is not specified, the ids specified in 'block' are used for this purpose.
prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

average_radius1When using 'average' sampling this is how the number of values both above and below the layer that will be averaged.
Default:1
C++ Type:unsigned int
Controllable:No
Description:When using 'average' sampling this is how the number of values both above and below the layer that will be averaged.
cumulativeFalseWhen true the value in each layer is the sum of the values up to and including that layer
Default:False
C++ Type:bool
Controllable:No
Description:When true the value in each layer is the sum of the values up to and including that layer
positive_cumulative_directionTrueWhen 'cumulative' is true, whether the direction for summing the cumulative value is the positive direction or negative direction
Default:True
C++ Type:bool
Controllable:No
Description:When 'cumulative' is true, whether the direction for summing the cumulative value is the positive direction or negative direction
sample_typedirectHow to sample the layers. 'direct' means get the value of the layer the point falls in directly (or average if that layer has no value). 'interpolate' does a linear interpolation between the two closest layers. 'average' averages the two closest layers.
Default:direct
C++ Type:MooseEnum
Options:direct, interpolate, average
Controllable:No
Description:How to sample the layers. 'direct' means get the value of the layer the point falls in directly (or average if that layer has no value). 'interpolate' does a linear interpolation between the two closest layers. 'average' averages the two closest layers.

Value Sampling / Aggregating Parameters

boundsThe 'bounding' positions of the layers i.e.: '0, 1.2, 3.7, 4.2' will mean 3 layers between those positions.
C++ Type:std::vector<double>
Controllable:No
Description:The 'bounding' positions of the layers i.e.: '0, 1.2, 3.7, 4.2' will mean 3 layers between those positions.
directionThe direction of the layers.
C++ Type:MooseEnum
Options:x, y, z
Controllable:No
Description:The direction of the layers.
direction_maxMaximum coordinate along 'direction' that bounds the layers
C++ Type:double
Controllable:No
Description:Maximum coordinate along 'direction' that bounds the layers
direction_minMinimum coordinate along 'direction' that bounds the layers
C++ Type:double
Controllable:No
Description:Minimum coordinate along 'direction' that bounds the layers
num_layersThe number of layers.
C++ Type:unsigned int
Controllable:No
Description:The number of layers.

Layers Extent And Definition Parameters

(moose/test/tests/userobjects/function_layered_integral/function_layered_integral.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 20
  nz = 2
[]

[Problem]
  type = FEProblem
  solve = false
[]

[AuxVariables]
  [layered_integral]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [liaux]
    type = SpatialUserObjectAux
    variable = layered_integral
    execute_on = timestep_end
    user_object = layered_integral
  []
[]

[UserObjects]
  # the results of the layered integral are directly compared against the analytic integral
  # of sin(y) from a to b, or cos(a) - cos(b)
  [layered_integral]
    type = FunctionLayeredIntegral
    direction = y
    num_layers = 20
    function = 'sin(y)'
  []
[]

[VectorPostprocessors]
  [li]
    type = SpatialUserObjectVectorPostprocessor
    userobject = layered_integral
  []
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]