ElementArrayL2Norm

Evaluates L2-norm of a component of an array variable

Input Parameters

variableThe name of the array variable that this object operates on
C++ Type:std::vector<VariableName>
Options:
Description:The name of the array variable that this object operates on

Required Parameters

blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector<SubdomainName>
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
component0Component of the array variable to be integrated
Default:0
C++ Type:unsigned int
Options:
Description:Component of the array variable to be integrated
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM, TRANSFER
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.

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
Options:
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>
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Options:
Description:Determines whether this object is calculated using an implicit or explicit form
outputsVector of output names were you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Options:
Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Options:
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
Options:
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

Input Files

(test/tests/kernels/hfem/robin_displaced.i)
(test/tests/kernels/hfem/array_robin.i)
(test/tests/kernels/hfem/robin_dist.i)
(test/tests/kernels/hfem/variable_robin.i)
(test/tests/kernels/hfem/array_dirichlet.i)
(test/tests/kernels/hfem/variable_dirichlet.i)
(test/tests/kernels/hfem/array_neumann.i)
(test/tests/kernels/hfem/robin_adapt.i)

(test/tests/kernels/hfem/robin_displaced.i)

[Mesh]
  [square]
    type = CartesianMeshGenerator
    dx = '0.3125 0.3125 0.3125'
    dy = '0.3333333333333 0.3333333333333 0.3333333333333'
    dim = 2
  []
  displacements = 'x_disp y_disp'
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
  [x_disp]
    block = 0
  []
  [y_disp]
    block = 0
    initial_condition = 0
  []
[]

[AuxKernels]
  [x_disp]
    type = ParsedAux
    variable = x_disp
    use_xyzt = true
    function = 'x/15'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
    use_displaced_mesh = true
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
    use_displaced_mesh = true
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
    use_displaced_mesh = true
  []
[]

[BCs]
  [all]
    type = ArrayVacuumBC
    boundary = 'left right top bottom'
    variable = u
    use_displaced_mesh = true
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
    use_displaced_mesh = true
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    use_displaced_mesh = true
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/array_robin.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 3
    ny = 3
    dim = 2
  []
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayVacuumBC
    boundary = 'left right top bottom'
    variable = u
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/robin_dist.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 3
    ny = 3
    dim = 2
  []
  build_all_side_lowerd_mesh = true
  parallel_type = DISTRIBUTED
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayVacuumBC
    boundary = 'left right top bottom'
    variable = u
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/variable_robin.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 3
    ny = 3
    dim = 2
  []
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [uhat]
    order = CONSTANT
    family = MONOMIAL
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
  [lambdab]
    order = CONSTANT
    family = MONOMIAL
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
  [uhat_reaction]
    type = ArrayReaction
    variable = uhat
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    reaction_coefficient = rc
  []
  [uhat_coupled]
    type = ArrayCoupledForce
    variable = uhat
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    v = lambdab
    is_v_array = true
    coef = '1 1'
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayHFEMDirichletBC
    boundary = 'left right top bottom'
    variable = u
    lowerd_variable = lambdab
    uhat = uhat
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
  [rc]
    type = GenericConstantArray
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    prop_name = rc
    prop_value = '0.5 0.5'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/array_dirichlet.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 3
    ny = 3
    dim = 2
  []
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
  [lambdab]
    order = CONSTANT
    family = MONOMIAL
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayHFEMDirichletBC
    boundary = 'left right top bottom'
    variable = u
    lowerd_variable = lambdab
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/variable_dirichlet.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 3
    ny = 3
    dim = 2
  []
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
  [lambdab]
    order = CONSTANT
    family = MONOMIAL
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
  [uhat]
    order = CONSTANT
    family = MONOMIAL
    block = BOUNDARY_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayHFEMDirichletBC
    boundary = 'left right top bottom'
    variable = u
    lowerd_variable = lambdab
    uhat = uhat
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/array_neumann.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 3
    ny = 3
    dim = 2
  []
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [reaction]
    type = ArrayReaction
    variable = u
    block = 0
    reaction_coefficient = rc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayNeumannBC
    boundary = 'left right top bottom'
    variable = u
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
  [rc]
    type = GenericConstantArray
    prop_name = rc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  [out]
    # we hide lambda because it may flip sign due to element
    # renumbering with distributed mesh
    type = Exodus
    hide = lambda
  []
  csv = true
[]

(test/tests/kernels/hfem/robin_adapt.i)

[Mesh]
  [square]
    type = GeneratedMeshGenerator
    nx = 2
    ny = 2
    dim = 2
  []
  build_all_side_lowerd_mesh = true
[]

[Variables]
  [u]
    order = THIRD
    family = MONOMIAL
    block = 0
    components = 2
  []
  [lambda]
    order = CONSTANT
    family = MONOMIAL
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
    components = 2
  []
[]

[AuxVariables]
  [v]
    order = CONSTANT
    family = MONOMIAL
    block = 0
    initial_condition = '1'
  []
[]

[Kernels]
  [diff]
    type = ArrayDiffusion
    variable = u
    block = 0
    diffusion_coefficient = dc
  []
  [source]
    type = ArrayCoupledForce
    variable = u
    v = v
    coef = '1 2'
    block = 0
  []
[]

[DGKernels]
  [surface]
    type = ArrayHFEMDiffusion
    variable = u
    lowerd_variable = lambda
  []
[]

[BCs]
  [all]
    type = ArrayVacuumBC
    boundary = 'left right top bottom'
    variable = u
  []
[]

[Materials]
  [dc]
    type = GenericConstantArray
    prop_name = dc
    prop_value = '1 1'
  []
[]

[Postprocessors]
  [intu]
    type = ElementIntegralArrayVariablePostprocessor
    variable = u
    block = 0
  []
  [lambdanorm]
    type = ElementArrayL2Norm
    variable = lambda
    block = INTERNAL_SIDE_LOWERD_SUBDOMAIN
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  exodus = true
[]

[Adaptivity]
  steps = 1
  marker = box
  max_h_level = 2
  initial_steps = 2
  [Markers]
    [box]
      bottom_left = '0 0 0'
      inside = refine
      top_right = '0.5 0.5 0'
      outside = do_nothing
      type = BoxMarker
    []
  []
[]

Input Parameters
Input Files

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ElementArrayL2Norm

Input Parameters

Required Parameters

Optional Parameters

Advanced Parameters

Input Files