TM0CylindricalEzAux

Calculates the axial E-field for an axisymmetric TM $var element = document.getElementById("moose-equation-deb0c151-93e9-4ecf-98e1-a05e1ac2c207");katex.render("_{0}", element, {displayMode:false,throwOnError:false});$ wave.

Overview

TM0CylindricalEzAux calculates the axial component of the E-field based on the azimuthal component of the magnetic field. TM0CylindricalEzAux assumes an axisymmetric transverse magnetic (TM) wave and negligible current density compared to the displacement current.

The axial component of the displacement E-field for a TM $var element = document.getElementById("moose-equation-d5bb4f1a-c4a2-47f7-b4d1-a4893588c517");katex.render("_{0}", element, {displayMode:false,throwOnError:false});$ wave is defined as

$var element = document.getElementById("moose-equation-4df93c39-b2c8-4dae-b888-3811bc0dd7a5");katex.render("E_{z} = \\frac{1}{\\omega \\varepsilon_{0} \\varepsilon_{r}} \\left( \\frac{H_{\\phi}}{r} + \\frac{dH_{\\phi}}{dr} \\right)", element, {displayMode:true,throwOnError:false});$

Where $var element = document.getElementById("moose-equation-e6e1b94a-387f-49b1-aabc-a5de1afc2f98");katex.render("E_{z}", element, {displayMode:false,throwOnError:false});$ is the axial component of the E-field, $var element = document.getElementById("moose-equation-045021dc-e91b-4359-879d-5eea3fb48612");katex.render("H_{\\phi}", element, {displayMode:false,throwOnError:false});$ is the azimuthal component of the magnetic field, $var element = document.getElementById("moose-equation-fce34cbb-684b-48dd-a1e2-3516a31bfe38");katex.render("\\omega", element, {displayMode:false,throwOnError:false});$ is the drive frequency, $var element = document.getElementById("moose-equation-23054bc2-1d88-4bde-aa8c-499d4205b8f0");katex.render("r", element, {displayMode:false,throwOnError:false});$ is the radial distance from the axial centerline, $var element = document.getElementById("moose-equation-3c1e7ee9-5466-4317-a8e3-ae9dc2298ad9");katex.render("\\varepsilon_{0}", element, {displayMode:false,throwOnError:false});$ is the permittivity of free space, and $var element = document.getElementById("moose-equation-21fe1509-7a74-41bf-b613-8811af021cba");katex.render("\\varepsilon_{r}", element, {displayMode:false,throwOnError:false});$ is the relative permittivity of the medium.

Example Input File Syntax

An example of how to use TM0CylindricalEzAux can be found in the test file TM_steady.i.

[AuxKernels]
  [Electric_z]
    type = TM0CylindricalEzAux
    Hphi = Hphi
    variable = Electric_z
  []
[]

Input Parameters

HphiMagnetic field component Hphi.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Magnetic field component Hphi.
fThe drive frequency.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The drive frequency.
variableThe name of the variable that this object applies to
C++ Type:AuxVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this object applies to

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
check_boundary_restrictedTrueWhether to check for multiple element sides on the boundary in the case of a boundary restricted, element aux variable. Setting this to false will allow contribution to a single element's elemental value(s) from multiple boundary sides on the same element (example: when the restricted boundary exists on two or more sides of an element, such as at a corner of a mesh
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether to check for multiple element sides on the boundary in the case of a boundary restricted, element aux variable. Setting this to false will allow contribution to a single element's elemental value(s) from multiple boundary sides on the same element (example: when the restricted boundary exists on two or more sides of an element, such as at a corner of a mesh
eps_r1The relative permittivity of the medium.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The relative permittivity of the medium.
execute_onLINEAR TIMESTEP_ENDThe 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.
Default:LINEAR TIMESTEP_END
C++ Type:ExecFlagEnum
Unit:(no unit assumed)
Options:NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, PRE_DISPLACE
Controllable:No
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.
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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

Input Files

(test/tests/TM10_circular_wg/TM_steady.i)

(test/tests/TM10_circular_wg/TM_steady.i)

[GlobalParams]
  f = 10e9
[]

[Mesh]
  type = FileMesh
  file = 'TM.msh'
  coord_type = RZ
[]

[Problem]
  type = FEProblem
  # kernel_coverage_check = false
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    ksp_norm = none
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  # petsc_options = '-snes_converged_reason -snes_linesearch_monitor -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
  petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
  # petsc_options = '-snes_test_display'
  # petsc_options_iname = '-snes_type'
  # petsc_options_value = 'test'
  # nl_rel_tol = 1e-4
[]

[Outputs]
  perf_graph = true
  print_linear_residuals = false
  [out]
    type = Exodus
  []
[]

[Kernels]
  [TM]
    type = TM0Cylindrical
    variable = Hphi
  []
[]

[Variables]
  [Hphi]
  []
[]

[BCs]
  [launcher]
    type = TM0AntennaVertBC
    boundary = Antenna
    variable = Hphi
  []
  [vert_wall]
    type = TM0PECVertBC
    variable = Hphi
    boundary = vert_pec
  []
  [axis]
    type = DirichletBC
    variable = Hphi
    boundary = Axis
    value = 0
  []
[]

[AuxVariables]
  [Hphi_mag]
  []
  [Er]
    order = FIRST
    family = MONOMIAL
  []
  [Electric_z]
    order = FIRST
    family = MONOMIAL
  []
[]

[AuxKernels]
  [Hphi_mag]
    type = AbsValueAux
    u = Hphi
    variable = Hphi_mag
  []
  [Er]
    type = TM0CylindricalErAux
    Hphi = Hphi
    variable = Er
  []
  [Electric_z]
    type = TM0CylindricalEzAux
    Hphi = Hphi
    variable = Electric_z
  []
[]

[Materials]
  [vacuum]
    type = ADGenericConstantMaterial
    prop_names = 'eps_r'
    prop_values = '1'
    block = vacuum
  []
[]

(test/tests/TM10_circular_wg/TM_steady.i)

[GlobalParams]
  f = 10e9
[]

[Mesh]
  type = FileMesh
  file = 'TM.msh'
  coord_type = RZ
[]

[Problem]
  type = FEProblem
  # kernel_coverage_check = false
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    ksp_norm = none
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  # petsc_options = '-snes_converged_reason -snes_linesearch_monitor -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
  petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
  # petsc_options = '-snes_test_display'
  # petsc_options_iname = '-snes_type'
  # petsc_options_value = 'test'
  # nl_rel_tol = 1e-4
[]

[Outputs]
  perf_graph = true
  print_linear_residuals = false
  [out]
    type = Exodus
  []
[]

[Kernels]
  [TM]
    type = TM0Cylindrical
    variable = Hphi
  []
[]

[Variables]
  [Hphi]
  []
[]

[BCs]
  [launcher]
    type = TM0AntennaVertBC
    boundary = Antenna
    variable = Hphi
  []
  [vert_wall]
    type = TM0PECVertBC
    variable = Hphi
    boundary = vert_pec
  []
  [axis]
    type = DirichletBC
    variable = Hphi
    boundary = Axis
    value = 0
  []
[]

[AuxVariables]
  [Hphi_mag]
  []
  [Er]
    order = FIRST
    family = MONOMIAL
  []
  [Electric_z]
    order = FIRST
    family = MONOMIAL
  []
[]

[AuxKernels]
  [Hphi_mag]
    type = AbsValueAux
    u = Hphi
    variable = Hphi_mag
  []
  [Er]
    type = TM0CylindricalErAux
    Hphi = Hphi
    variable = Er
  []
  [Electric_z]
    type = TM0CylindricalEzAux
    Hphi = Hphi
    variable = Electric_z
  []
[]

[Materials]
  [vacuum]
    type = ADGenericConstantMaterial
    prop_names = 'eps_r'
    prop_values = '1'
    block = vacuum
  []
[]

Overview
Example Input File Syntax
Input Parameters
Input Files