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Try to address Max's markdown comment
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lindsayad committed Oct 18, 2023
1 parent 165061f commit 3ee3baa
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1 change: 1 addition & 0 deletions modules/fsi/doc/content/source/kernels/ConvectedMesh.md
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Expand Up @@ -6,6 +6,7 @@
the term:

\begin{equation}
\label{convection}
-\rho \left(\frac{\partial\vec{d_m}}{\partial t} \cdot \nabla\right) \vec{u}
\end{equation}

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15 changes: 12 additions & 3 deletions modules/fsi/doc/content/source/kernels/ConvectedMeshPSPG.md
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Expand Up @@ -7,13 +7,22 @@ equation corresponding to the [ConvectedMesh.md] object. It implements the
weak form

\begin{equation}
\int \nabla \psi \dot \left(\tau \dot{\vec{d}}\right) dV
\label{pspg}
\int \nabla \psi \cdot \left(\tau\frac{\partial\vec{d_m}}{\partial t}\cdot\nabla\vec{u}\right) dV
\end{equation}

where $\nabla \psi$ is the gradient of the pressure test function, $\tau$ is a
stabilization parameter computed automatically by the `navier_stokes` base class
`INSBase`, and $\dot{\vec{d}}$ is the time derivative of the displacement
vector.
`INSBase`, $\vec{d_m}$ is the fluid mesh displacements, and
$\vec{u}$ is the fluid velocity. Note that when comparing [pspg] with
[!eqref](ConvectedMesh.md#convection) that the minus sign and density $\rho$ have
disappeared. This is because the form of PSPG stabilization is

\begin{equation}
\int \nabla \psi \cdot \left(-\frac{\tau}{\rho}\vec{R}\right)
\end{equation}

where $\vec{R}$ denotes the strong form of the momentum residuals.

!syntax parameters /Kernels/ConvectedMeshPSPG

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