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Commit 8f606af2 authored by Ann Almgren's avatar Ann Almgren
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more try

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......@@ -15,13 +15,13 @@ In the predictor
- Define an approximation to the new-time state, :math:`(\varepsilon_g \rho_g U)^{\ast}` by setting
.. math:: (\varepsilon_g \rho_g U)^{\ast} = (\varepsilon_g \rho_g U)^n +
\Delta t \left( -\nabla \cdot (\varepsilon_g \rho_g U^{MAC} U_g) - \varepsilon_g \nabla {p_g}^{n-1/2}
\Delta t \left( -\nabla \cdot (\varepsilon_g \rho_g U^{MAC} U_g) - \varepsilon_g \nabla {p_g}^{n-1/2} \right.
.. math:: \nabla \cdot \tau^n + \sum_p \beta_p (V_p - {U_g}^{\ast}) + \rho_g g \right)
.. math:: \left. \nabla \cdot \tau^n + \sum_p \beta_p (V_p - {U_g}^{\ast}) + \rho_g g \right)
- Project :math:`U^{\ast}` by solving
.. math:: \nabla \cdot \frac{\varepsilon_g}{\rho_g} \nabla \phi = \nabla \cdot \left( \varepsilon_g U)^{\ast}+ \varepsilon_g \nabla {p_g}^{n-1/2} \right)
.. math:: \nabla \cdot \frac{\varepsilon_g}{\rho_g} \nabla \phi = \nabla \cdot \left( (\varepsilon_g U)^{\ast}+ \varepsilon_g \nabla {p_g}^{n-1/2} \right)
then defining
......
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