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14 changes: 7 additions & 7 deletions source/problem_setup/boundary_conditions.rst
Original file line number Diff line number Diff line change
Expand Up @@ -145,13 +145,13 @@ summarized in the table below, using the following notation:

Fluid, ``zeroDirichlet``,``w`` / ``wall``, :math:`\mathbf u = 0`
Fluid, ``zeroNeumann``,"``o`` / ``O`` / ``outlet`` / ``outflow``", :math:`\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n} = 0`
Fluid, ``zeroDirichletX/zeroNeumann``,``slipx`` / ``symx``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_z} = 0` "
Fluid, ``zeroDirichletY/zeroNeumann``,``slipy`` / ``symy``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_z} = 0` "
Fluid, ``zeroDirichletZ/zeroNeumann``,``slipz`` / ``symz``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_z} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_y} = 0` "
Fluid, ``zeroDirichletN/zeroNeumann``,``slip`` / ``sym``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_n} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_{t}} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_{b}} = 0` "
Fluid, ``zeroDirichletYZ/zeroNeumann``,``onx``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`\mathbf{u} \cdot \mathbf{\hat{e}_z} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_x} = 0` "
Fluid, ``zeroDirichletXZ/zeroNeumann``,``ony``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`\mathbf{u} \cdot \mathbf{\hat{e}_z} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_y} = 0` "
Fluid, ``zeroDirichletXY/zeroNeumann``,``onz``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`\mathbf{u} \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_z} = 0` "
Fluid, ``zeroDirichletX``/``zeroNeumann``,``slipx`` / ``symx``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_z} = 0` "
Fluid, ``zeroDirichletY``/``zeroNeumann``,``slipy`` / ``symy``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_z} = 0` "
Fluid, ``zeroDirichletZ``/``zeroNeumann``,``slipz`` / ``symz``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_z} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_y} = 0` "
Fluid, ``zeroDirichletN``/``zeroNeumann``,``slip`` / ``sym``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_n} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_{t}} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_{b}} = 0` "
Fluid, ``zeroDirichletYZ``/``zeroNeumann``,``onx``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`\mathbf{u} \cdot \mathbf{\hat{e}_z} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_x} = 0` "
Fluid, ``zeroDirichletXZ``/``zeroNeumann``,``ony``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`\mathbf{u} \cdot \mathbf{\hat{e}_z} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_y} = 0` "
Fluid, ``zeroDirichletXY``/``zeroNeumann``,``onz``,":math:`\mathbf{u} \cdot \mathbf{\hat{e}_x} = 0` |br| :math:`\mathbf{u} \cdot \mathbf{\hat{e}_y} = 0` |br| :math:`(\boldsymbol{\underline \tau} \cdot \mathbf{\hat{e}_n}) \cdot \mathbf{\hat{e}_z} = 0` "

Scalar, ``zeroNeumann``,"``I`` / ``insulated``", :math:`\lambda \nabla s \cdot \mathbf{\hat{e}_n} = 0`

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