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Update docs to reflect current way of computing viscous stress (#286)
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cgilet authored Oct 18, 2023
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2 changes: 1 addition & 1 deletion Docs/sphinx/manual/Model.rst
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Expand Up @@ -298,7 +298,7 @@ gradient, by solving
\frac{1}{2}\left(\nabla\cdot\tau^n
+ \nabla\cdot\tau^{n+1,*}\right) - \nabla\pi^{n-1/2} + \frac{1}{2}(F^n + F^{n+1}),
where :math:`\tau^{n+1,*} = \mu^{n+1}[\nabla U^{n+1,*} +(\nabla U^{n+1,*})^T - 2\mathcal{I}\widehat S^{n+1}/3]` and
where :math:`\tau^{n+1,*} = \mu^{n+1}[\nabla U^{n+1,*} +(\nabla U^{n+1,*})^T - \frac{2}{3} \mathcal{I} \, \nabla \cdot U^{n+1,*}]` and
:math:`\rho^{n+1/2} = (\rho^n + \rho^{n+1})/2`, and :math:`F` is the velocity forcing. This is a semi-implicit discretization for :math:`U`, requiring
a linear solve that couples together all velocity components. The time-centered velocity in the advective derivative,
:math:`U^{n+1/2}`, is computed in the same way as :math:`U^{{\rm ADV},*}`, but also includes the viscous stress tensor
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