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.. manual/packages/vertex-cfd/boundary_condition_inductionless_fuild.rst
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.. _sec_boundary_condition_inductionless_fuild:

*************************************************************
Boundary conditions for induction-less model in fluid domains
*************************************************************

Boundary conditions available for the induction-less model in fluid domains are
described below. Their usage in the `Electric Potential` sublist of the `Data`
block is illustrated through representative examples.

The `Electric Potential` sublist is required for `IncompressibleBoundaryFlux`
boundaries when `Build Inductionless MHD Equation` is enabled in the fluid
physics block.

.. dropdown:: Fixed boundary
   :icon: bookmark
   :color: light
   :animate: fade-in-slide-down

   .. py:data:: Type
      :no-index:

      :type: string
      :value: Fixed
      :usage: Required
      :description: Fixed electric-potential boundary condition with optional linear time ramping.

   .. py:data:: Final Value
      :no-index:

      :type: double
      :value: :math:`[-\infty,\infty]`
      :usage: Required
      :description: Final electric potential value in Volts :math:`(V)` to set at the boundary.

   .. py:data:: Initial Value
      :no-index:

      :type: double
      :value: :math:`[-\infty,\infty]`
      :usage: Optional
      :default: `Final Value`
      :description: Initial electric potential value in Volts :math:`(V)` used for linear time ramping.

   .. py:data:: Time Initial
      :no-index:

      :type: double
      :value: :math:`[0,\infty]`
      :usage: Optional
      :default: 0.0
      :description: Time in seconds :math:`(s)` to start linear ramping from `Initial Value`.

   .. py:data:: Time Final
      :no-index:

      :type: double
      :value: :math:`[0,\infty]`
      :usage: Optional
      :default: 1.0E-06
      :description: Time in seconds :math:`(s)` to complete linear ramping to `Final Value`.

   .. code-block:: xml
      :caption: Fixed electric-potential boundary from `mhd_2d_joule_heating.xml`.
      :linenos:

      <ParameterList name="Boundary Conditions">
        <ParameterList>
          <Parameter name="Sideset ID" type="string" value="left"/>
          <Parameter name="Element Block ID" type="string" value="eblock-0_0"/>
          <Parameter name="Strategy" type="string" value="IncompressibleBoundaryFlux"/>
          <ParameterList name="Data">
            <ParameterList name="Navier-Stokes">
              <Parameter name="Type" type="string" value="No-Slip"/>
              <Parameter name="Wall Temperature" type="double" value="500.0"/>
            </ParameterList> <!-- Navier-Stokes -->
            <ParameterList name="Electric Potential">
              <Parameter name="Type" type="string" value="Fixed"/>
              <Parameter name="Final Value" type="double" value="1.5"/>
            </ParameterList> <!-- Electric Potential -->
            <ParameterList name="Penalty Parameters">
              <Parameter name="temperature" type="double" value="10.0"/>
              <Parameter name="electric_potential" type="double" value="1000.0"/>
            </ParameterList> <!-- Penalty Parameters -->
          </ParameterList> <!-- Data -->
        </ParameterList> <!-- -->
      </ParameterList> <!-- Boundary Conditions -->

.. dropdown:: Electric-potential insulating wall boundary
   :icon: bookmark
   :color: light
   :animate: fade-in-slide-down

   .. py:data:: Type
      :no-index:

      :type: string
      :value: ElectricPotentialInsulatingWall
      :usage: Required
      :description: Insulating wall boundary condition that sets :math:`\nabla \phi \cdot \vec{n} = 0`.

   .. code-block:: xml
      :caption: Electric-potential insulating wall boundary from `mhd_2d_joule_heating.xml`.
      :linenos:

      <ParameterList name="Boundary Conditions">
        <ParameterList>
          <Parameter name="Sideset ID" type="string" value="top, bottom"/>
          <Parameter name="Element Block ID" type="string" value="eblock-0_0"/>
          <Parameter name="Strategy" type="string" value="IncompressibleBoundaryFlux"/>
          <ParameterList name="Data">
            <ParameterList name="Navier-Stokes">
              <Parameter name="Type" type="string" value="No-Slip"/>
              <Parameter name="Temperature Profile" type="string" value="Adiabatic"/>
            </ParameterList> <!-- Navier-Stokes -->
            <ParameterList name="Electric Potential">
              <Parameter name="Type" type="string" value="ElectricPotentialInsulatingWall"/>
            </ParameterList> <!-- Electric Potential -->
            <ParameterList name="Penalty Parameters">
              <Parameter name="temperature" type="double" value="10.0"/>
              <Parameter name="electric_potential" type="double" value="1000.0"/>
            </ParameterList> <!-- Penalty Parameters -->
          </ParameterList> <!-- Data -->
        </ParameterList> <!-- -->
      </ParameterList> <!-- Boundary Conditions -->

.. dropdown:: Electric-current-density insulating boundary
   :icon: bookmark
   :color: light
   :animate: fade-in-slide-down

   .. py:data:: Type
      :no-index:

      :type: string
      :value: ElectricCurrentDensityInsulating
      :usage: Required
      :description: Insulating boundary condition that accounts for velocity and external magnetic field and sets :math:`(\nabla \phi - \vec{u} \times \vec{B}) \cdot \vec{n} = 0`.

   .. code-block:: xml
      :caption: Electric-current-density insulating boundary from `mhd_hunt_cw0p05_re_10_ha_300.xml`.
      :linenos:

      <ParameterList name="Boundary Conditions">
        <ParameterList>
          <Parameter name="Sideset ID" type="string" value="top, bottom"/>
          <Parameter name="Element Block ID" type="string" value="fluid_block"/>
          <Parameter name="Strategy" type="string" value="IncompressibleBoundaryFlux"/>
          <ParameterList name="Data">
            <ParameterList name="Navier-Stokes">
              <Parameter name="Type" type="string" value="No-Slip"/>
            </ParameterList> <!-- Navier-Stokes -->
            <ParameterList name="Electric Potential">
              <Parameter name="Type" type="string" value="ElectricCurrentDensityInsulating"/>
            </ParameterList> <!-- Electric Potential -->
          </ParameterList> <!-- Data -->
        </ParameterList> <!-- -->
      </ParameterList> <!-- Boundary Conditions -->