MFEMComplexVectorTangentialDirichletBC

Overview

Boundary condition for enforcing an essential (Dirichlet) boundary condition on the tangential components of a complex-valued $var element = document.getElementById("moose-equation-40e25335-f927-4f59-b93d-fd33f4b08e03");katex.render("H(\\mathrm{curl})", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ conforming vector FE at a boundary. The boundary value is a coefficient that may vary in space and/or time.

Input Parameters

boundary-1 The list of boundaries (ids or names) from the mesh where this object applies. Defaults to all boundaries.
Default:-1
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies. Defaults to all boundaries.
variableVariable on which to apply the boundary condition
C++ Type:VariableName
Unit:(no unit assumed)
Controllable:No
Description:Variable on which to apply the boundary condition
vector_coefficient_imag0. 0. 0.Vector coefficient specifying the imaginary part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).
Default:0. 0. 0.
C++ Type:MFEMVectorCoefficientName
Controllable:No
Description:Vector coefficient specifying the imaginary part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).
vector_coefficient_real0. 0. 0.Vector coefficient specifying the real part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).
Default:0. 0. 0.
C++ Type:MFEMVectorCoefficientName
Controllable:No
Description:Vector coefficient specifying the real part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:No
Description:Set the enabled status of the MooseObject.

Advanced Parameters

Input Files

(test/tests/mfem/complex/complex_waveguide.i)

(test/tests/mfem/complex/complex_waveguide.i)

freq = 900e6
angfreq = ${fparse 2*pi*freq}
epsilon0 = 8.8541878176e-12
mu0 = ${fparse 4e-7*pi}
magnetic_reluctivity = ${fparse 1/mu0}
elec_cond_mouse = 0.97
elec_cond_air = 1e-323

[Mesh]
  type = MFEMMesh
  file = ../mesh/waveguide.g
  dim = 3
[]

[Problem]
  type = MFEMProblem
  numeric_type = complex
[]

[FESpaces]
  [HCurlFESpace]
    type = MFEMVectorFESpace
    fec_type = ND
    fec_order = FIRST
  []
  [HDivFESpace]
    type = MFEMVectorFESpace
    fec_type = RT
    fec_order = CONSTANT
  []
[]

[Variables]
  [E]
    type = MFEMComplexVariable
    fespace = HCurlFESpace
  []
[]

[Functions]
  [mass_coef_mouse]
    type = ParsedFunction
    expression = -43*${epsilon0}*${angfreq}^2
  []
  [loss_coef_mouse]
    type = ParsedFunction
    expression = ${angfreq}*${elec_cond_mouse}
  []
  [mass_coef_air]
    type = ParsedFunction
    expression = -${epsilon0}*${angfreq}^2
  []
  [loss_coef_air]
    type = ParsedFunction
    expression = ${angfreq}*${elec_cond_air}
  []
[]

[FunctorMaterials]
  [Mouse]
    type = MFEMGenericFunctorMaterial
    prop_names = 'massCoef lossCoef MagReluctivity'
    prop_values = 'mass_coef_mouse loss_coef_mouse ${magnetic_reluctivity}'
    block = 1
  []
  [Air]
    type = MFEMGenericFunctorMaterial
    prop_names = 'massCoef lossCoef MagReluctivity'
    prop_values = 'mass_coef_air loss_coef_air ${magnetic_reluctivity}'
    block = 2
  []
[]

[BCs]
  [tangential_E]
    type = MFEMComplexVectorTangentialDirichletBC
    variable = E
    boundary = '2 3 4'
  []
  [WaveguidePortIn]
    type = MFEMRWTE10IntegratedBC
    variable = E
    boundary = '5'
    input_port = true
    port_length_vector = "24.76e-2 0.0 0.0"
    port_width_vector = "0.0 12.38e-2 0.0"
    frequency = ${freq}
    epsilon = ${epsilon0}
    mu = ${mu0}
  []
  [WaveguidePortOut]
    type = MFEMRWTE10IntegratedBC
    variable = E
    boundary = '6'
    input_port = false
    port_length_vector = "24.76e-2 0.0 0.0"
    port_width_vector = "0.0 12.38e-2 0.0"
    frequency = ${freq}
    epsilon = ${epsilon0}
    mu = ${mu0}
  []
[]

[Kernels]
  [curlcurl]
    type = MFEMComplexKernel
    variable = E
    [RealComponent]
      type = MFEMCurlCurlKernel
      coefficient = MagReluctivity
    []
  []
  [mass_loss]
    type = MFEMComplexKernel
    variable = E
    [RealComponent]
      type = MFEMVectorFEMassKernel
      coefficient = massCoef
    []
    [ImagComponent]
      type = MFEMVectorFEMassKernel
      coefficient = lossCoef
    []
  []
[]

[Solver]
  type = MFEMMUMPS
[]

[Executioner]
  type = MFEMSteady
  assembly_level = legacy
[]

[Postprocessors]
  [ObstructionAbsorption]
    type = MFEMComplexVectorPeriodAveragedPostprocessor
    coefficient = ${elec_cond_mouse}
    dual_variable = E
    primal_variable = E
    block = 1
  []
[]


[Outputs]
  [ReportedPostprocessors]
    type = CSV
    file_base = OutputData/ComplexWaveguide
  []
[]

Overview
Input Parameters
Input Files